Dipolar electro-optic structures
16 claims: 9 independent, 7 dependent
- 1Having thus fully described the invention what is claimed as new and sought to be secured by Letters Patent of the United States is:1. A light controlling device comprising in combination a suspending medium, a plurality of minute particles rotatably carried in said medium, said particles having at least one dimension of the order of λ/2« and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 2A light controlling device comprising in combination a suspending medium, a plurality of minute elongated, needle-like particles rotatably carried in said medium, said particles having at least one dimension of the order of λ/2η and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 3A light controlling device comprising in combination a suspending medium, a plurality of minute elongated, needle-like metal particles rotatably carried in said medium, said particles having at least one dimension of the order of λ/2« and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 4A light controlling device comprising in combination a suspending medium, a plurality of minute elongated, needle-like particles having a metal surface coating thereon rotatably carried in said medium, said particles having at least one dimension of the order of X/2n and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and « is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 7A light controlling device comprising in combination a suspending medium, a plurality of minute flake shaped particles rotatably carried in said medium, said particles having at least one dimension of the order of λ/2η and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and « is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 8A light controlling device comprising in combination a suspending medium, a plurality of minute flake shaped metal particles rotatably carried in said medium, said particles having at least one dimension of the order of X/2n and at least one other dimension not exceeding λ/10«, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 9A light controlling device comprising in combination a suspending medium, a plurality of minute flake shaped 3,512,876 glass particles rotatably carried in said medium, said particles having at least one dimension of the order of X/2n and at least one other dimension not exceeding λ/10η, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means to apply g a non-constant force field to the suspension to control the disposition of particles therein.
- 14A light controlling device comprising in combination a suspending medium, a plurality of minute particles rotatably carried in said medium, said particles having at least one dimension of the order of λ/2η and at least one other dimension not exceeding λ/10η, where λ is the wavelength of light and n is the index of refraction of the suspending medium, and means comprising a source of non-constant electrical potential and spaced electrodes connected to the potential source to apply a non-constant force field to the suspension to control the disposition of particles therein.
- 16A light controlling device comprising in combination a transparent suspending medium, a plurality of dipole members having at least one dimension of the order of \/ln, where λ is the wavelength of light and n is the index of refraction of the suspending medium, rotatably carried within the medium, and means to apply a nonconstant force field to the suspension of at least 1 kilocycle to control the disposition of the dipoles therein, whereby ions in the suspending medium will oscillate about a mean position such that this migration is insufficient to neutralize the field. References Cited UNITED STATES PATENTS 1,955,923 4/1934 Land-------------- 350—150 2,543,793 3/1951 Marks_____________ 350—267 2,595,616 5/1952 Toulon------------- 350—267 3,040,625 6/1962 Zito________________ 350—267 RONALD L. WIBERT, Primary Examiner V. P. McGraw, Assistant Examiner
Independent claims9
1,105 paragraphs in 62 sections, as filed
May 19, 1970 <sub>A</sub>. <sub>M</sub>. marks 3,512,876
DIPOLAR ELECTRO-OPTIC STRUCTURES
Filed June 29, 1964 <sub>18</sub> Sheets-Sheet 1
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May 19, 1970 a. m. marks 3,512,876
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Filed June 29, 1964 <sub>18</sub> Sheets-Sheet 2
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DIPOLAR ELECTRO-OPTIC STRUCTURES
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May 19, 1970
Filed June 29, 1964
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DIPOLAR ELECTRO-OPTIC STRUCTURES
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May 19, 1970
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Patented May 19, 1970
United States Patent Office
3,512,876
DIPOLAR ELECTRO-OPTIC STRUCTURES Alvin M. Marks, 153—16 10th Ave., Whitestone, N.Y. 11357 Filed June 29, 1964, Ser. No. 378,836 Int. Cl. G02f 1/18, 1/30
U.S. Cl. 350—267 16 Claims
ABSTRACT OF THE DISCLOSURE
An electro-optic light controlling device in which a suspension of minute assymetric particles having at least one dimension of the order of X/2n are subjected to a varying electrical field for the purpose of controlling transmitted or reflected light. Various types of assymetric particles are disclosed.
This invention relates to methods and apparatus for controlling light and related forms of electromagnetic radiation. In particular, this invention relates to novel electro-optical media comprising dipolar particle suspensions and novel methods and apparatus for the electrical or magnetic control of the optical properties of the media by orienting and disorienting the dipolar particles in the suspension.
It has previously been suggested to employ a suspension of orientable dipolar particles as a light-controlling element, and to orient the particles in such a suspension by the application of an external electric or magnetic force field. Devices of this general type that have so far been proposed, however, have had little use because of a number of important deficiencies. One of such prior art faults was the tendency of the oriented particles to coagulate or clump together, rather than remain uniformly dispersed. Another shortcoming was that the optical properties of the devices, either in the oriented or disoriented condition, were of a low order. Thus, when such a suspension was switched from maximum transmittance to minimum transmittance, or maximum reflectance to minimum reflectance, the obtainable ratios of these transmittances, or reflectances, were too small. Moreover, clear suspensions of dipolar particles, free from light scatter, were not available. Furthermore, the response of such a system to an applied electric or magnetic force field tended to be slow. Orientation and disorientation control techniques were lacking. Consequently, prior art devices were not suitable for incorporation into most electro-optical systems. In general the underlying physical laws governing electrodichroic systems were not well understood, and the physical parameters of such systems were relatively unknown.
DEFINITIONS
Electrodichroic systems as used herein means, dipolar suspensions which exhibit changes in optical properties upon the application of electric or magnetic fields.
Optical density is defined as the negative logarithm to the base 10 of the light transmittance of an optical element. Thus, if the element is completely transparent, it transmits 100% of the incident light, the transmittance is 1.00, and the optical density is —log<sub>10</sub> 1.0, or 0.
Similarly, if the element transmits 10% of the incident light, the transmittance is 0.10 and the optical density is:
-log<sub>w</sub> 10Z100=-log<sub>10</sub> 0.10=log<sub>10</sub> 10=1
Similarly, if an element transmits 1% of the incident light, the transmittance is 0.01, and the optical density is 2. In the same way an element that transmits 0.1% of the incident light corresponds to a transmittance of 0.001, and an optical density of 3, etc.
The electrodichroic ratio is defined as the ratio of the optical density in the opaque condition for dipoles in random orientation, to the optical density in the transparent condition for dipoles partially or completely oriented in the electric field direction.
The parallel electrodichroic ratio refers to the electric field applied parallel to the light path, and the normal electrodichroic ratio refers to the electric field applied normal to the light path.
For most effective performance, an electro-optical shutter should be characterized by an electrodichroic ratio of preferably 10 or more.
An electrodichroic ratio of 15, therefore, signifies that the optical density of the shutter in the opaque condition is 15 times that of optical density of the same shutter in the transparent condition.
As a specific example, a shutter capable of transmitting 60% of the incident light in the transparent state, and only 0.1% of the incident light when in the opaque state, would have the following optical densities:
Transparent:
Dt=logio (100/60)=0.22
Opaque:
D<sub>0</sub>=logio (100/0.1)=3
The electrodichroic ratio of such a shutter, then would be:
D<sub>o</sub>/D<sub>t</sub>=3/0.22=13.6
The electrodichroic response is defined as the rate of change of electrodichroic ratio with respect to the change in the electric field intensity.
The electrodichroic sensitivity is defined as the rate of change of electrodichroic ratio with respect to the change in electric field intensity, per unit of mass in a unit area in the optical path. Thus the electrodichroic sensitivity is the electrodichroic response per unit mass of a dipole suspension.
Relaxation means the disorientation in the absence of aligning field of previously aligned dipolar particles.
To simplify description of various embodiments of the invention and the methods of making and using the same, it is sometimes useful to employ the following convention: The plane of the cell (which in most embodiments is a thin, flat container) is taken as the XY plane, X generally being considered the horizontal and Y the vertical axis. The direction of incident light normal to the plane of the cell is taken as the Z axis. The X, Y and Z axes are all mutually perpendicular.
An object of the present invention, is to provide improved dipole particle suspensions, and methods and apparatus for electrically controlling light and other electromagnetic radiation.
Another object is to provide light-controlling compositions whose optical properties can be varied electrically without the use of mechanical moving parts.
Still another object is to provide light-controlling compositions and devices as aforesaid, characterized by, improved electro-optical characteristics, greater electrodichroic ratios, greater electrodichroic sensitivity and requiring less time to randomize an oriented suspension in the absence of an electric field.
A further object is to provide an electro-optical sheet having an electrodichroic ratio in excess of 10.
Another object still is to provide a light controlling sheet having electrical means for effecting dipole relaxation.
Another object is to provide a light controlling sheet having electrical means for effecting dipole orientation or relaxation, which is selectively confined to a particular area.
3,512,876
Yet another object is to provide a thin electro-optical light control device of large area also herein termed a panel or shutter, suitable for use as an electrically controlled variable density window, visor, optical elements, or ophthalmic lens,
A feature of the present invention is the use as a lightcontrolling medium of a suspension of dipole particles having optimum optical and electrical properties resulting from novel relationships established amongst the physical dimensions, resistivity, concentration, and suspending fluid viscosity.
Still another feature is the utilization of the “antenna effect” influencing the optical properties of dipolar particles, as hereinafter more fully described.
Another feature of the present invention is the control of alignment rise time to maximum transmittance of a suspension of dipolar particles by correlation of concentration of the dipolar particles, and the viscosity of the suspending fluid, and the application of pulsed electric fields of high intensity.
Another feature is the use of an electric or magnetic field to orient or disorient the dipole particles in such a suspension.
Another feature is the use of current-carrying shielding means for confining a reorienting electric field.
Still another feature is the use of transparent conductive films which serve as electrode means of current-carrying shielding means for establishing different orientations of the dipolar particles to change the transmittance or reflectance of the device.
Another feature of the invention is the use of the “curtain effect,” and non-current carrying transparent shielding electrodes to reorient a dipolar suspension.
A further feature of this invention is a novel electrooptical iris or curtain diaphragm without mechanical moving parts.
Other objects, advantages, and novel features of the present invention will become apparent from the following more complete description and claims.
In one form, the present invention contemplates a lightcontrolling device employing a suspension of particles hereinafter referred to as dipoles or dipole particles, said particles having at least one dimension large relative to at least one other dimension. The suspended particles are orientable in response to an applied electric, magnetic or mechanical shear field. The application of a nonconstant force field to said suspension enables maximum alignment to be attained without coagulation of the particles.
In another form, this invention contemplates an electrooptical light control device having a cell containing a suspension of dipole particles in a transparent medium, capable of interacting with electromagnetic radiation, said cell having spaced transparent walls and being provided with spaced, transparent electrically conductive films generally parallel with the transparent walls. This embodiment also has a pair of electrodes at oppoosite edges of the cell, near the edges of the transparent walls, and insulated from the conductive films. Such a cell is made transparent by orienting the dipole particles in the suspension with their long dimensions normal to the transparent walls. Orientation is achieved by imposing an electrical potential between the transparent conductive films. The cell is rendered opaque by starting to orient the long dimensions of the dipole particles parallel with the transparent walls, but stopping the orienting influence by imposing an electrical potential of given direction between the electrodes at the edges of the cell, while the particles are in an intermediate, random phase.
In this phase of operation, the field between the two edge electrodes is confined within the cell by simultaneously passing an electric current through each of the conductive films. Passage of such a current effectively prevents the lines of force from short-circuiting through the conductive films and thus by-passmg the interior of the cell where the dipole particles are located.
In still another form, this invention contemplates an electro-optical light control device comprising in combination a first cell and a second cell, each of which is enclosed in part by generally parallel, spaced, transparent walls, both of said cells being located in the space between a pair of generally parallel spaced conductive loops. The first cell has a first pair of electrodes located at opposite edges of the cell, and a second pair of electrodes, angularly spaced from the first pair of electrodes by approximately 90 degrees measured in a plane parallel with the transparent walls. The shutter is rendered transparent by imposing an electrical potential between the conductive loops, thus creating an electrostatic field which tends to orient the particles in both cells normal to the transparent walls. When it is desired to render the cell opaque, the loops are de-energized and each of the two pairs of electrodes is connected to a source of electrical potential, thereby creating an electrical field between the first pair of electrodes in the first cell, and a second electrical field between the second pair of electrodes in the second cell. The effect of the two force fields is to orient the dipole particles in the first cell in a first direction parallel to the transparent walls, and the dipoles in the second cell in a second direction parallel to the transparent walls and perpendicular to the direction of the dipoles in the first cell. Since the dipole particles, when aligned normal to the light path, act like polarizing elements, the cross-orientation effectively blocks all but a very small proportion of the light.
The invention consists in the construction, combination and arrangement of parts and of operating steps as hereinafter more fully described and claimed, and as illustrated in the drawings, in which like parts appearing in more than one view are given the same reference numeral throughout, and in which:
FIG. 1 is a fragmentary view on an enlarged scale of an electrically responsive light-controlling structure made in accordance with the present invention showing disoriented dipole particles in a reflecting or light absorbing state.
FIG. 2 is a view similar to FIG. 1, showing the dipole particles in aligned orientation, with the long dimension of the particle normal to the plane of the structure, in a transmittive state.
FIG. 3 is a fragmentary view similar to FIGS. 1 and 2, showing a protective coating between the conductive coating and the dipole suspension.
FIG. 4 is a cross-sectional view showing a structure similar to that shown in FIGS. 1 and 2, provided with an electromagnet to effect orientation.
FIG. 5 is a perspective view of another embodiment of the invention, showing a comparatively bulky high voltage switching device utilizing a single plane dipolar suspension and unshielded electrostatic fields for controlling the orientation of a dipolar particle suspension.
FIG. 6 is a fragmentary diagrammatic detail of a portion of the embodiment of FIG. 5, on a larger scale.
FIG. 7 is a view similar to FIG. 6, showing another stage in the operation of the device in FIG. 5.
FIG. 8 is a schematic diagram of an electrical circuit used to apply potential to the electrodes of the device in FIG. 5.
FIG. 9 is a fragmentary view, on a greatly enlarged scale, of a single dipole in an elementary volume of suspending fluid.
FIG. 10 is a fragmentary perspective view, similar to FIG. 1, of another embodiment of the invention, namely a reflective-absorptive panel.
FIG. 11 is a partially cut away perspective view, partially schematic, of another embodiment of the invention, in the nature of an electro-optical iris diaphragm.
FIG. 12 is a perspective view of the same electro-optic
3.512.876 <sup>5</sup> .
iris diaphragm as in FIG. 11 but with the device in another stage of operation.
FIG. 13 is a view similar to FIG. 12, showing the device of FIG. 11 at still another stage of operation.
FIG. 4 shows a dipole curtain shutter in cross section, used in producing a “curtain effect” according to another embodiment of the invention.
FIG. 15 is another view similar to FIG. 14 showing an intermediate stage of the “curtain effect.”
FIG. 16 is a curtain shutter as shown in FIG. 14 but at a stage in which the dipole particles are all oriented in the X-direction.
FIG. 17 shows a front view of the device in FIG. 14 at an intermediate stage of the curtain effect.
FIG. 18 is a front view of the device of FIG. 14 in another mode of operation.
FIG. 19 graphically shows the percent transmittance versus time during a change in dipole particle orientation from the Z-direction as shown in FIG. 2 through random orientation to the orientation in X-direction, and also shows the corresponding E<sub>z</sub> and E<sub>x</sub> alternating electrical pulses applied first along the Z axis, and then along the X axis to achieve this result.
FIG. 20 shows a graph of percent transmittance versus time during orientation and disorientation when pulses are on and off respectively.
FIG. 21 shows a transmittance-time curve corresponding to the application of a series of pulses timed to give an increasing degree of orientation with intervening periods of partial relaxation between successive pulses.
FIG. 22 is a graphic representation of the voltage-time characteristic of a reversing D.C. pulsed current used in certain embodiments of the invention.
FIG. 23 shows the relative power aborbed or re-radiated versus wave length for thick and thin half-wave dipoles.
FIG. 24 shows a polar graph of response versus angle to the ray path of the dipole antenna.
FIG. 25 shows a graph of response versus angle to the polarization direction for a dipole antenna.
FIG. 26 shows a conventional half-wave dipole with a central electrical load.
FIG. 27 shows a half-wave dipole with a distributed electrical load.
FIG. 28 illustrates diagrammatically the effective cross section of a dipole antenna.
FIG. 29 shows a graph of the random-normal electrodichroic ratio versus the electric field intensity, steady state 60 cycle A.C. for an herapathite suspension.
FIG. 30 shows a random-parallel electrodichroic ratio versus electric field intensity, steady state 60 cycle A.C. for herapathite suspension of two different concentrations.
FIG. 31 shows the transmittance versus time for an herapathite dipole suspension having various electric field intensities applied parallel to the light path as a D.C. pulse.
FIG. 32 shows the random-parallel electrodichroic ratio versus the electric field intensity from the data of FIG. 31.
FIG. 33 shows the peak transmittance versus electric field intensity from the data of FIG. 31, for various initial transmittances for the dipole layer in the random state.
FIG. 34 shows a plot of the inverse rise time versus the electric field intensity from the data of FIG. 31.
FIG. 35 shows the transmittance versus time for the various given electric field intensities plotted from an empirical equation which closely fits the experimental data shown in FIGS. 31—34 inclusive.
FIG. 36 shows the random-parallel electrodichroic ratio versus electrical field intensity steady state 60 cycle A.C. for an aluminum flake suspension.
FIG. 37 is the same as FIG. 36 except that the parallel electrodichroic ratio is plotted on a log scale versus electric field intensity on a linear scale.
FIG. 38 is an exploded perspective view of a two layer dipole suspension, current shielded transparent electrode type of shutter in the transparent condition.
FIG. 39 is an exploded perspective view showing the device of FIG. 38 in the opaque condition, using current shielded transparent electrodes.
FIG. 40 is an assembled cross section of the device of _ FIGS. 38 and 39 in the opaque condition, taken along <sup>0</sup> line 40—40 of FIG. 41.
FIG. 41 is a front view of the device, corresponding to the cross-sectional view of FIG. 40.
FIG. 42 is an exploded perspective view of a single dipole suspension layer shutter of the present invention, in a condition to polarize transmitted light, utilizing current-shielded transparent electrodes.
FIG. 43 is another exploded perspective view showing the device of FIG. 43 in the transparent condition.
FIG. 44 is a perspective view of a shutter according to another embodiment of the invention, in the opaque condition without shielding, utilizing electrostatic fields in air.
FIG. 45 shows a schematic diagram of the pulse circuit for actuating the dipole cell.
FIG. 46 shows the wiring diagram for an intermediate pulse amplifier.
FIG. 47 shows a high voltage pulse amplifier.
FIG. 48 shows the effect of electrodichroic ratio on minimum and maximum transmittance.
Light-controlling devices according to this invention are useful in varying embodiments, as camera shutters, variable iris diaphragms, variable density windows for control of room lighting, visors for automobiles, opthalmic and optical elements, 2-dimensional and 3-dimen30 sional displays, radiation absorption control elements for spacecraft, decorative elements, signalling devices, and in a variety of other ways which their novel characteristics will readily suggest to those skilled in the art.
The dipole particles useful in the present invention are 35 characterized in that they have at least one dimension large relative to at least one other dimension—that is to say, they are in the form of flakes, needles or the like. The dipole particles should have at least one dimension equal to one-half of the wavelength of the radiation to 40 be controlled (normally, visible light, but in some cases infrared, ultraviolet, microwave, or other portions of the electromagnetic spectrum), and at least one other dimension substantially smaller than one-half of said wavelength. The magnitude of the third dimension—that is, 45 whether the particle is a needle or a flake—depends on the requirements of the specific embodiment of the invention, as more fully discussed below.
For purposes of brevity, the term “light” is used throughout the present specification and claims in a gen50 eric sense and is intended to encompass not only visible light but also infrared and ultraviolet “light,” as well as microwave radiation in the neighboring portions of the electromagnetic spectrum.
In addition to the dimensional requirements herein dis55 closed, the electrical or magnetic properties of the dipolar particles, i.e., conductivity or dielectric constant must be such as to facilitate orientation in an electric or magnetic field, and strong interaction with electromagnetic radiation.
The suspending medium is a fluid, non-reactive with the dipole particles, or is a substance capable of being converted to a fluid, at a temperature sufficiently low to avoid any adverse effect on the dipole particles.
It is not in all cases necessary that the suspending <sup>65</sup> medium be in the liquid state. Providing the applied torque is sufficiently strong to orient the dipole particles against a certain amount of plastic resistance of the suspending medium, it is sufficient if the suspending medium is in a deformable plastic or thixotropic state. The term <sup>70</sup> “fluid” as used herein should therefore be understood to encompass such a plastic condition. For most applications of the present invention, the suspending medium is present as a liquid during alignment or disorientation of the 75 dipole particles.
3,512,876
The dipole particles must also be of such a nature that they are capable of being oriented by an applied electric, magnetic or in certain cases a mechanical shear force field.
Some particles have an inherent dipole moment by reason of their internal structure, in which the effective center of positive charge in the molecule or crystal is spaced from the center of negative charge. Such an inherent dipolar character, if present, is effective to some degree in augmenting the tendency of the particles to orient themselves in an applied force field. Inherent dipolarity is, however, neither essential nor a major factor in determining the effectiveness of the dipole particles.
The major factor in effecting orientation of the dipolar particles in an applied field is induced dipolarity, which may arise because of a difference between the dielectric constant of the insulating dipole particles and that of the surrounding medium. Alternatively, the dipolarity may arise because the dipolar particle is a semi-conductor, or a conductor permitting opposing charges to accumulate at the long opposite ends of the dipole particle. Ordinarily, an insulating dipole particle has a larger dielectric constant than the medium, and tends to concentrate the lines of force within itself. In so doing it acquires an induced dipolarity, the end of the particle nearer the positive electrode acquiring an induced negative charge, and vice versa. Once the induced dipolarity has arisen, the particle tends to orient itself by swinging so that the end having the induced positive charge points directly toward the negative electrode, and vice versa.
Similar considerations apply when the orienting field is a magnetic field, except that the induced dipolarity is magnetic, rather than electrostatic, in character.
In the unusual case where the particles have a smaller dielectric constant than the surrounding medium, the same general principles apply, but in such a case, the lines of force tend to concentrate in the medium rather than in the particles, and the medium then tends to push the particles into alignment in the process of shortening the lines of force.
Suitable dipole particles according to the present invention, therefore, include such materials as herapathite crystals, which are particularly advantageous because of their optical properties, as well as other materials which, by virtue of their shape, dielectric constant or conductivity characteristics tend to concentrate the lines of force of a magnetic or electrostatic field within themselves. Needle-shaped particles of a ferro-magnetic substance such as iron will orient themselves when subjected to the influence of a magnetic force field. Similarly, needles of any electrically conductive substance tend to align themselves parallel to the lines of force of an applied electrostatic field.
When reference appears herein to “dipolar particles,” or “dipoles,” it is therefore intended to include conductive asymmetric particles and insulating asymmetric particles having a substantial difference in dielectric constant from the medium in which they are immersed. All such particles are capable of acquiring induced dipolarity, and reference to the particles as “dipoles” is not intended to limit them to particles characterized by inherent or permanent dipolarity.
To illustrate the above considerations with reference to some specific examples, dipole particles may be insulating providing the difference in dielectric constant or index of refraction between the particle and the liquid in which it is suspended is substantial. An example of this is a lead carbonate which forms minute hexagonal flakes having an index of refraction of approximately 2.25 and which may be immersed in a fluid having a relative index of refraction of approximately 1.5. The electrostatic lines of force tend to concentrate in the vicinity of the material having the higher index of refraction or higher dielectric constant and thus produce a torque causing alignment of the particles.
Herapathite forms flat needles having an aspect ratio of approximately 25 to 1 and having a much higher index of refraction than the suspending fluid. Moreover, the particles are in themselves minute polarizing elements tending to polarize light passing therethrough by virtue of their molecular structure.
Graphite flakes are minute hexagonal crystals having a very high conductivity in the plane of the hexagon and a very low conductivity across the plane. They are thus similar to metallic flakes insofar as their conductivity is concerned since electric charges are free of flow across the plane of the hexagon.
Because the conductivity is anisotropic, it is very low normal to the plane of the hexagon, and hence relatively thick particles of graphite may be effectively oriented.
Still another and preferred class of materials are those comprising metals in which the electric charge is free to move. These metals in fact show the quickest alignments in the smallest fields. Moreover, they are suited for the practice of the “antenna effect” which is more fully described hereinafter.
THE DIPOLE PARTICLE
In FIG. 9 there is shown a single dipole particle 50 of length L and thickness Liω, its cross section being shown as square for simplicity. The particle is shown aligned along the Z axis but the dipole particle 50 can be tilted through an angle <f> as shown. The dipole particle is shown in an elementary cubic volume of fluid 51. This figure is useful in connection with the mathematicalphysic discussion given in a subsequent section.
For example, the dipole particle length is λ/2η where n is the index of refraction of the fluid. Usually this is approximately 1.5 so that the dipole length is in almost all cases then λ/3. The thickness of the dipole L/ω depends on whether the dipole is to be reflecting or absorbing and depends upon the resistivity of the metal from which the dipole is formed and whether the particles are to be reflecting or absorbing.
The length to width ratio ω also controls the resonant response of the dipole to radiation, in effect determining the wavelength range to which the dipoles are tuned to absorb or reflect. All these factors will be more fully described hereinafter.
The dipoles may be oriented by electrical or magnetic fields as described herein.
As an example of the alignment of non-metallic needlelike crystals, we may take the FIG. 35 which shows the transmittance versus time due to the alignment of a suspension of dipolar herapathite needles, for various electric field intensities.
A feature of the curves shown in FIGS. 30' and 32 which is based on data obtained for suspensions of herapathite dipoles, is that the increase in the parallel electrodichroic ratio is approximately linear with an increase in electric field and with an increase in the concentration of herapathite dipoles in the suspension.
On the other hand, the normal electrodichroic ratio increases linearly with the field strength at first, but actually follows an exponential curve in which the electrodichroic ratio increases more slowly as the field strength is increased. The empirical exponential equation has been fitted to the results with fair agreement.
The graph of FIG. 36 demonstrates that for thin aluminum flake dipoles the parallel electrodichroic ratio increases more rapidly as the electric field strength increases and follows an empiric equation which is an increasing exponential function. This is further demonstrated in FIG. 37 in which the data of FIG. 35 is plotted on a semi-log linear scale obtaining a straight line.
In FIGURE 36 it can be seen that ultrathin flakes produced by the floatation method in which only particles from the upper layer of the suspending fluid are used, show a marked increase in the electrodichroic ratio at much lower electric field intensity, without coagulation.
3.512.876 <sup>9</sup>
In the figures above referred to, the end points of the curve or the last experimental observation represents the voltage at which coagulation or agglomeration occurred. The test data shown in FIGS. 29 and 30, were made with a steady applied A.C. voltage. When the voltage exceeded the values indicated the agglomeration occurred.
The force field referred to herein is preferably electrostatic for most embodiments of the present invention, but it may also be magnetic, and the latter is preferred in certain cases. The field is also described as “nonconstant,” by which is meant that it is non-constant with respect to time. It may therefore be a continuous alternating voltage, or a pulsed voltage, the pulses being either direct or alternating. A steady direct current, however, is intended to be excluded by the term “non-constant.” 15 The reasons for the use of a non-constant field will presently appear. In certain applications a constant D.C. voltage will be useful to provide a momentary light pulse.
CONDUCTIVE FILMS .,, <sup>20 </sup>In the practice of the present invention, suitable transparent conductive coatings are required which are known to the art. One such material is a stannic oxide film on glass or plastic such as is sold by the Liberty Mirror Company under the designation EL-SX: by Pittsburgh 25 Plate Glass Company under the designation NESA. These transparent conductive films have a transmittance of between 70 and 80%.
ELECTRO-OPTICAL LIGHT CONTROLLING ,<sub>n </sub>PANEL
Referring now to the drawings and more particularly to FIGS. 1 and 2, 52 indicates a transparent sheet of glass, plastic or the like. A second sheet of transparent material 53, also made of glass, plastic or other fluid- 35 impervious material is spaced from the first sheet 52. A fluid-tight gasket 54 is disposed between the sheets 52 and 53, adjacent the edges thereof, to form a small, thin sheet-like area 55 between said sheets. The surfaces of sheets 52 and 53 which define the sheet-like area 55 are 40 covered with an electrically-conductive transparent coating or electrodes 56 hereinafter more fully described. The insulating gasket 54 may extend beyond the transparent sheets 52, 53 so as to form a longer electrical air path, and thus prevent arcing between the electrodes 57 45 at the edge of the sheets. The conductive coatings 56 are connected to suitable metallic strips or bus bars 57 which are disposed along the edges of sheets 52 and 53. Electrical leads 58 are in turn connected to the bus bars 57 and lead to a suitable source of electrical potential (not 50 shown).
The thin sheet-like space 55 between sheets 52 and 53 is filled with a fluid 51 in which there is carried a suspension of dipole particles 50.
When the dipole particles 50 are free to move about 55 in the suspending fluid within the sheet-like space 55 they are subject to Brownian movement and become randomized as shown in FIG. 1. The dipole particles within the sheet-like area 55 may be highly-reflective, needle-like, strongly absorptive, or flat flake-like particles. In FIG. 60 1, light indicated by arrow 59, is shown reflected and emerges from the structure as reflected beam 60.
When an electric field is imposed across the conductive coatings 56 by the application of an electrical potential to leads 58, the dipole particles 50 become aligned with 65 their long dimension parallel to the electric field and normal to the surfaces of sheets 52 and 53, as shown in FIG. 2. Since the thickness of dipole particles 50 is small compared to their length, the light 59 is able to pass between them and reach the second sheet 53. The second 70 sheet 53 also being transparent, the light then passes unimpeded out of the cell as transmitted beam 61. For purposes other than the one presently under consideration— namely .the electro-optical shutter—it is also within the purview of the invention to make sheet 53 of a non-trans- 75 <sup>10</sup> parent material, so that when the dipole particles 50 are oriented as described, the light passes through the suspension and is reflected, absorbed, or partially reflected and partially absorbed upon striking second sheet 53.
When the electric field is reduced or removed, the dipole particles 50 again become randomized by Brownian movement, with the result that many of them assume positions in which their long dimension is at an angle to the incident light ray 59. Because the dipole particles then have random angular positions the incident light is reflected back in a more or less diffused pattern.
It will be apparent that the optical characteristics of the assembly may be varied from highly reflective to highly absorptive and also may be employed to change from highly reflective or absorptive to light transmitting. Whether the particles, in random array, reflect the light or absorb it depends on their dimensions and their optical and electrical properties, particularly their electrical resistivity, as more fully explained below under the heading “Derivations from Electromagnetic Theory.”
Referring to FIG. 3, it will be seen that the conductive coatings 56 are covered by a transparent protective layer 62 which is disposed upon the coatings 56 on the faces thereof nearest the dipole suspension. The protective coating 62 is necessary in certain cases where the dipole suspension may be chemically reactive with the conductive coating. Protective layer 62 may be, for example, a transparent silicon monoxide layer.
While the flat sheet-like area 55 has been shown with substantial thickness in the drawings, it is to be understood that the thickness is exaggerated for the purpose of clarity, and in actual practice sheets 52 and 53 may be spaced apart, for example, a distance of from 0.01 to 0.50 millimeter. As a result of the small spacing between the sheets, it is possible to get a substantially complete alignment of the dipoles within the sheet-like area 55, using voltages as low as 10 to 500 volts.
The electric field intensity employed should be as high as practicable, short of the point at which the suspending medium, the dipoles, or other components are broken down. In most embodiments of the invention, voltages of the order of 50 to 100 kv./cm. are preferred. The voltage required to attain these electric field intensities depends on the thickness of the dipole suspension layer required to get the required transmittance range, as set forth hereinafter. The use of high electric field intensities gives a proportionately shorter response time in switching from a random to an oriented state (or from one oriented state to another), an advantage in most embodiments. Also, it has been discovered in accordance with the present invention that the troublesome coagulation and clumping of the dipole particles, experienced in prior art devices, can be overcome by using one or more pulses of high intensity and short duration, or a non-constant field, in the form of one or more pulses having a suitable peak electric field intensity, time duration and repetition rate.
The effect which tends to cause coagulation is believed to be explained as follows: When the electric field is applied and the dipoles become oriented, each particle assumes an induced polarity (which reinforces its own inherent polarity, if any). When any two dipoles are aligned in approximately end-to-end relationship, the two ends which are close together are of opposite polarity. They therefore attract each other, resulting in longitudinal migration and coagulation. This effect may be avoided by pulsing the field so that it lasts only long enough to effect the desired orientation, and is discontinued before any migration can take place.
The speed of orientation, and consequently the required duration of the pulse, depends on the electric field intensity of the pulse, the dimensions and electrical dipole characteristics of the dipole particles and upon the viscosity of the suspending medium.
Avoidance of the coagulation or clumping effect by the use of a non-constant force field leads to still another
3,512,876 advantage, in that it makes possible the use of higher concentrations of dipole particles in the suspension. Very minute concentrations of dipoles are effective to control the light, because of their great effective cross section for the capture of incident radiant energy (as discussed below under the heading “Antenna Effect”). Nevertheless, there is an advantage in using higher concentrations even approaching the point where the heavy concentration makes the suspension too viscous for the use intended. The advantage is that high dipole concentrations are more responsive to the orienting force field. This effect is produced because, as the particles turn in the field, the induced dipoles attract each other, much as two compass needles would attract each other when brought together. In uncontrolled form, this attraction leads to coagulation, but when controlled by the use of a pulsed or alternating field, it leads to the desirable result that each dipole particle helps to align its neighbors, giving rapid response to the orienting field. Concentrations of dipoles which give rise to high viscosities, however, should be avoided where rapid response is desired, because they slow down the response by viscous drag.
After the initial large voltage pulse is applied, and the field is off, the particles start to disorient at a rate dependent on temperature (which is normally almost constant), viscosity, and particle size. Pulses of lower voltage, and of such repetition rate as to make the time between pulses considerably less than the disalignment time constant, will keep the particles in substantial alignment without coagulation.
The use of a pulsed field, rather than a steady D.C. field, has still another advantage. Despite all precautions, stray ions may be present in the system, either originally as impurities, or produced by breakdown of the suspending medium and/or the dipole particles. When a steady D.C. field is employed, such ions tend to migrate toward the electrodes (i.e. transparent conductors 56). The positive ions migrate toward and collect at the tarnsparent wall in the vicinity of the negative electrode, and the negative ions collect at the transparent wall in the vicinity of the positive electrode, thus shielding the applied electric field and partially offsetting or neutralizing the electric field applied across the dipole suspension layer. When a pulsed field is employed, this migration is avoided, and such shielding does not take place. A simple, intermittent uni-directional D.C. pulse of high intensity and short duration is effective to momentarily orient the particles without causing coagulation, and is also largely effective to avoid migration of ions. Migration of ions is better avoided, however, by using a reversing D.C. pulse, in which alternate pulses are opposite in direction, as illustrated in FIG. 22. Still more effective, and the preferred type of pulse, is a pulsed A.C., in which each pulse is oi sufficient duration to include several cycles of the A.C. alienation, as illustrated for example in FIG. 20, which are of sufficiently high frequency to prevent substantial ion separation.
When it is desired to return the particles to their original random state, it is usually sufficient merely to discontinue application of the orienting field. The particles then quickly return to the random condition by the action of Brownian movement. Where more rapid randomization is required, the dipole particles 50 may be randomized by applying a second electrostatic field in a different direction, or a rotating field. The disorientation in certain cases may be alternatively accomplished by applying a viscous drag in the plane of the sheet by a relative linear or rotary motion of the two sheets 52, 53, or a mechanical vibrator may be employed to agitate the cell.
In one form of the invention illustrated in FIGS. 1 and 2, the electro-optical shutter is “opened,” that is to say the dipoles are oriented normal to the transparent sheets 52 and 53, by an electrostatic field applied between electrically-conductive transparent coatings 56, which then serve as electrodes. The orientation may if desired be produced by a magnetic field instead of an electric field, provided the dipoles are ferromagnetic, or diamagnetic or paramagnetic material relative to the suspending fluid. Magnetic orientation can be achieved, for example, as shown in FIG. 4, by positioning the cell containing the suspension between the poles 63, 64 of an electromagnet 65. When the magnet is energized by closing switch 66, the ferromagnetic dipoles 68 are oriented. The use of a magnetic field for orienting the dipoles, however, is not preferred in most cases because it requires more cumbersome equipment and greater power input. Magnetic orientation is useful, nevertheless, in connection with some of the embodiments of the invention hereinafter described.
In FIG. 5 there is shown a cell containing a dipole suspension layer 67 between discs of transparent sheets such as glass 52 and 53 separated at the rim by a gasket ring 54. Electrodes 69 and 70 are located on the Y axis and electrodes 71 and 72 are located on the X axis, at the rim as shown in FIG. 6. An electrostatic field extending in the Y direction is obtained by applying a voltage between electrode 69 and 70, or an electrostatic field in the direction of the X axis is obtained by applying a voltage between electrodes 71 and 72. An electric field along the Z axis may be obtained by applying a voltage between rings 75 and 76. The electrode rings 75 and 76 must be separated a sufficient distance in air so that the fields may be effectively applied along the X or Y axes without being diverted toward the rings 75 and 76. As a result of suitably spacing the electrodes, electric fields may be applied alternatively along the X, Y or the Z axes. However, the construction shown in FIG. 5 is relatively bulky and the large spacing between electrodes 75 and 76 necessitates the application of very large voltages to obtain substantial alignment of the dipole suspension layer in the Z direction.
To bring the ring electrodes 75 and 76 into close proximity to the dipole suspension and obtain a uniform electric field between these electrodes requires that the metal rings 75, 76 be replaced by transparent conductors as shown in FIG. 1. However, when this is done, a voltage, for example, applied to the electrodes 71, 72 on the X axis, tends to terminate on the transparent conductors and does not pass across along the X axis to align the body of the dipole suspension in the X direction. This condition, shown in FIG. 14, occurs particularly when the spacing between the transparent electrodes is small.
However, when the transparent electrodes have a critical spacing of 2 to 10 times the suspension layer thickness, the “curtain effect” occurs as hereinafter described in connection with FIGS. 14 to 18 inclusive. The employment of the curtain effect enables effective alignments to be obtained in the X, Y or Z directions with compact spacings of the electrodes. Consequently utilizing the curtain effect shutter of FIG. 14 smaller voltages along the Z axis produce substantial alignments of dipole particles in the suspending fluid compared to the relatively large voltages required to similarly align the dipole particles in the shutter shown in FIG. 5.
Another method of obtaining the alignment in the X, Y or Z directions with a compact shutter operating at relatively small voltages, utilizes the technique of current shielding in which an electric current is passed along transparent conductors parallel to an aligning X or Y electric field, while no current is passed through the transparent electrodes when a voltage is applied between them in the Z direction. A compact shutter operating at relatively small voltages is achieved by this current shielding technique as more fully described in connection with FIGS. 38-43 inclusive. FIGS. 38—41 show two layer suspensions in which the current shielding and cross polarization is utilized to achieve an opaque state; and in which the transparent state is achieved by aligning the dipolar particles in both layers along the Z direction by electric fields applied along the Z direction, with no current flow along the transparent conductors.
3,512, <sup>13</sup>
In FIGS. 42 and 43 a single layer suspension cell is shown with FIG. 43 showing the alignment in the Z direction achieved by applying the electric field between the transparent electrodes without current flow along the electrodes, while FIG. 42 shows an alignment in the <sub>r </sub>Y direction accompanied by current flow in the transparent electrodes in the Y direction.
It will be understood in connection with FIG. 42 that the passage of the dipole particle alignment from the Z to the Y direction may be interrupted while the dipole particles are at the random alignment stage. The phenomena herein employed is shown graphically in FIG. 19. Random alignment of the dipolar particles occurs during the time in which the particles pass from the alignment in the Z direction, to the random state, and then into an 15 alignment in the Y direction. To accomplish this the pulse of electric field intensity applied along the Y direction, or the X direction, may be stopped at a critical time t<sub>2</sub> at which the particles have assumed a random position as indicated by a minimum transmittance through the 20 dipole suspension layer.
REFLECTING-TRANSMITTING PANEL
A shutter of the type shown in FIGS. 1 and 2 is highly 25 satisfactory for many purposes such as camera shutters, control of room lighting by means of windows equipped with electro-optical “shades,” etc. For other uses, such as space vehicle environmental radiation control panels for building walls and roofs, data display screens, and the 30 like, a suspension is required which may be switched from a light-transmitting state to a reflective state. Such an embodiment of the invention is illustrated in FIGS.
5, 6 and 7.
Essentially, the reflecting-transmitting shutter of FIGS. 35 5, 6 and 7, is a suspension of flake-shaped particles 77 in a cell 78. Electrodes 69 and 70 are provided at the top and bottom edges of the cell to impress a first electrostatic field across the cell 78 along the Y axis and electrodes 71 and 72 are provided at opposite sides of the 40 cell to impress a second electrostatic field along the X axis. A third pair of electrodes 75 and 76 for example, in the form of rings surrounding the field of view on either side of the cell 78 (as shown in FIG. 5), are provided for the purpose of impressing a third electrostatic field 45 along the Z axis normal to the plane of the suspension layer and generally parallel to the incident light path. Alternatively, alignment in the Z direction can be obtained by a compact disposition of electrodes as explained hereinafter and referred to as the “curtain effect.” As a 50 further alternative, a compact disposition of transparent electrodes may be achieved as hereinafter described in connection with current shielded fields along the X or Y axes, as explained in connection with FIGS. 38-40 inclusive. 55
In the operation of the light reflecting-transmitting shutter, the first two pairs of electrodes 69, 70 and 71 and 72 are used to orient the flakes 77 parallel to the transparent sheets 52, 53 of the shutter. A suitable voltage is applied between the two side electrodes 71 and 72. 30 As a result of the applied field, each of the random particles represented by particles 77, tends to move under the influence of a couple turning on its axis, so as to bring the electric forces on the particle into opposition and alignment ,so that no further turning of the particle will 35 result. Next, the voltage across side electrodes 71 and 72 is reduced to zero and an equivalent voltage is applied across top and bottom electrodes 69 and 70, respectively, resulting in a rotation of the applied field through 90 degrees. This causes a couple to act on each particle 77, 70 turning it about its axis, which is perpendicular to a second axis. The result of the twofold rotation is that the particle is aligned in a plane parallel with the transparent faces 52 and 53 of the cell. Since all particles of the suspension are so oriented, the net result is a substantially 75
876 <sup>14</sup> specular reflection of light incident upon the cell with corresponding high opacity.
The alternation of the applied field between top and bottom electrodes 69 and 70 on the one hand, and side electrodes 71 and 72 on the other hand, is readily accomplished by using a suitable single-phase A.C. input (for example a 60-cycle, 110-volt current), and in known manner using the positive portion of each cycle to energize one pair of electrodes and the negative portion to energize the other pair. In order to insure that the voltages in the cell are balanced at all times, a bridge circuit such as that shown in FIG. 8 is preferably included. Terminals 81 and 82 are connected to electrodes 69 and 70, respectively, and terminals 79 and 80 are connected to electrodes 71 and 72 respectively. For example, when terminal 81 is at -|-E/2 volts and terminal 82 is at — Έ/2 volts (E being the total applied voltage), then terminals 79 and 80, which are connected to the other pair of electrodes 71 and 72, are automatically maintained at zero potential.
In the circuit as illustrated in FIG. 8, it will be noted that there are provided a first pair of power-supply leads 83, 84 connected to electrodes 69 and 70, respectively, a second pair of power-supply leads 85 and 86, connected respectively to electrodes 71 and 72, and a set of four balancing leads 83<sub>a</sub>, 84<sub>a</sub>, 85<sub>a</sub> and 86<sub>a</sub>, each containing a resistance 73. All of the balancing loads are matched as to resistance, which may be in the form of a resistor element or a distributed resistance, and the balancing leads are connected to the electrodes, by way of the terminals, in such a way that each of the balancing leads connects one of the electrodes 69 and 70 to one of electrodes 71 and 72, as illustrated in FIG. 8.
When it is desired to switch the shuter from a reflective to a transparent condition, the power to electrodes 69, 70, 71 and 72 is shut off, and ring electrodes 75 and 76 are energized. This operation results in the setting up of a field substantially normal to the transparent sheets 52 and 53 of the cell, and causes the particles to be aligned parallel with the light path, making the cell transparent in the manner similar to that shown in FIG. 2.
In the alignment of dipoles A.C. or D.C. fields may be employed. However, it has been found that A.C. fields may be applied for a longer time and will produce a better alignment than D.C. fields without coagulation. The use of pulsed D.C. or A.C. fields makes possible the application of electric field intensities of the order of 2 to 3 times greater than under steady state conditions without coagulation. Therefore, the use of pulsed electric fields enables greatly improved alignments in which the electrodichroic ratio is improved by a factor of at least 2.
SINGLE LAYER DIPOLAR ORIENTATION AND ITS EFFECT ON LIGHT
Light passing through a single layer dipolar suspension is affected by the orientation of the long dimension of the dipolar particles. If in the device shown in FIG. 5 electrically conductive needle shaped dipoles or herapathite crystals are employed and the dipolar particles oriented normal to the light path in the plane of the cell it will polarize transmitted light. The electric vector of the transmitted polarized light is normal to the direction of alignment of the dipolar particles. This action results because the electric vector of the incident unpolarized light is absorbed due to the motion of charges in the direction of alignment of the dipole particles of electrical charges. In the absence of an electric field, the particles are randomly oriented and the dipolar suspension layer may be substantially opaque to light but does not polarize the light.
In similar manner, when the particles are oriented in the direction of the light by an electrical field along the Z axis, applied for example between the ring 75 and 76 in FIG. 5, the cell is highly transmitting to ordinary
3,512,876 non-polarized light which is transmitted without polarization.
FORCED RANDOMIZATION OF DIPOLES
In most of the embodiments of the invention thus far discussed, the dipoles will revert to random orientation within a fraction of a second after the orienting field is withdrawn, and no additional steps are necessary to achieve rapid opaquing of the shutter. Where it is desired to hasten the randomization process, it may be speeded up by switching from a Z to a Y orientation and interrupting the reorientation at the intermediate opaque condition or in various other ways. Randomization may be hastened for example, by mechanically vibrating the cell, by sliding or rotating one face of the cell relative to the other, or by application of a rotating electric or magnetic field. The rotating magnetic field may be generated by a conventional rotating field assembly such as is used in a single phase A.C. motor, the dipole chamber being disposed within the “cage” of field coils where the armature of such a motor is housed.
In switching from a Z orientation to an X or Y orientation it will be observed that the transmittance goes through a minimum as shown in FIG. 19. At a position intermediate the Z orientation and the X or Y orientation, the cell becomes quite opaque. This phase is ascribed to an intermediate condition, in which the dipoles are oriented in all directions at 45 degrees to the plane of the suspension, and behave in effect as if they were randomly oriented, and probably are quite close to the random state.
FIG. 19 shows a graph of transmittance versus time for an area whose particles have been initially oriented in the Z direction by a pulse E<sub>z</sub> of time duration t,. At the time /j a pulse E<sub>x</sub> is applied, and in a time duration (/<sub>2</sub>—/i) the particles have started to revolve into the X direction, but however, have only just passed into the random state, and for this reason the transmittance curve is dropped to a minimum at time /<sub>2</sub>, corresponding to the random state.
The E<sub>x</sub> pulse may be discontinued at this point and the particles will remain in the random state. However, if the E<sub>x</sub> pulse is continued for an additional time duration (/3-/2) the particles now reorient themselves in the X direction and the transmittance rises to beween 20 and 50%.
Less time is taken for the particles to pass from one given orientation to the random state than from the given orientation to another at 90° thereto. Moreover, the random state has the minimum transmittance for a single layer dipole suspension.
Therefore, a pulse having a critical time duration and peak voltage applied at right angles to the existing orientation, will effectively randomize a dipole particle suspension.
DIPOLE ROTATIONAL INERTIA EFFECT
In a high-speed switching of the electro-optical shutter by means of pulsed high intensity electric fields, the transmittance of the suspension may reach a maximum and then decrease, particularly in suspending fluids of small viscosity (less than 10 cp.). Under these circumstances the dipole particles acquire an appreciable angular velocity, and by reason of inertia tend to shoot past the parallel position of maximum transparency, provided however that the fluid viscosity is sufficiently small so that the particles will rotate through a considerable angle before stopping. This effect may be overcome by compensation, for example, by shortening the duration of the pulse so that it has fallen to zero before the particles are fully aligned and letting them “coast” into alignment.
The inertia effect may also be utilized to provide a shutter which automatically transmits a light pulse of predetermined duration and shuts itself off. This is ac16 complished by applying a high-voltage pulse sufficient to impart a predetermined angular momentum to the particles, and allowing them to coast to and through the transmitting position to a position of extinction. The duration of the light pulse may be controlled by the momentum imparted by the intensity duration of the applied voltage and viscosity.
ORIENTATION BY REPEATED VOLTAGE PULSES
FIG. 20 is a graph showing a transmittance versus time for light passing through a cell containing a dipole layer subject to a voltage pulse, for example an A.C. voltage pulse 122 having an amplitude E<sub>z</sub> and time duration /j, resulting in the transmittance vs. time curve 123 shown. The rise time on this curve depends upon the particle dimension and concentration, the viscosity of the suspending fluid, and the electric field intensity. For the most rapid alignment and disalignment generally it is preferred to use fluids of relatively low viscosity in the range of 0.5 to 10 centistokes and electric field intensities just below the breakdown strength of the fluid, which is usually of the order of 100-300 kv./cm. Dipolar particles having a length of the order of 0.18 micron, 25 to 1 length to thickness ratio, and concentrations and preferably as high as possible in the range 0.01% to 10% are also employed for this purpose. Minimum alignment times are less than 1 nanosecond. When the pulse terminates and there is no field, particles start to disalign by Brownian motion as indicated at 124 on the curve. When they are partially disaligned, a shorter pulse may be applied to cause the particles to realign following the transmittance time graph shown at 125.
FIG. 22 shows the application of a series of A.C. voltage pulses of amplitude E<sub>z</sub> in which the time duration /' is so short that only partial alignment is obtained during each pulse as shown by the segments of the transmittance time graph 126, 127 and 128. Corresponding A.C. voltage pulses 129, 130 and 131 respectively are applied with a repetition rate of 1/z pulses per second. These pulses cause a maximum alignment to be achieved bit by bit. Moreover, once the alignment has been attained, the alignment is maintained by the application of pulses of even shorter duration or lower amplitude.
One of the important teachings of this disclosure is that a maximum peak voltage applied for a minimum time duration enables the particles to be quickly oriented in parallel position within the field. When the pulse discontinues the relaxation time is relatively long, as shown in FIG. 20, so that considerable time may intervene before particles are substantially oriented away from the parallel position. Thereafter, a pulse of relatively shorter duration is sufficient to reestablish alignment. Either A.C. or D.C. fields, if applied continuously first orient the particles into parallel alignment and then, since the neighboring particles have opposite induced charges on their adjacent faces, a migration begins wherein the closest particles are drawn in together and contact occurs causing eventual coagulation of the entire dipole suspension, rendering it inoperable. To avoid this coagulation, peak voltages just below those capable of causing electrical breakdown through the suspension layer and of short duration time, sufficient to cause the particles to orient, may be applied to establish maximum orientation. Thereafter, alignment may be maintained indefiniely and coagulation avoided by the use of the application of voltage pulse of suitable peak intensity and duration just sufficient to maintain alignment and counterbalance the effects of Brownian disorientation.
Pulses which may be employed may be D.C. pulses, or voltage pulses alternating in polarity of the type shown in FIG. 21, in which the pulse is an envelope for an IR frequency alternating field, as shown in FIG. 22. For example, if time for pulse repetition and the pulse length
3.512.876 <sup>17</sup> t' is 10 microseconds, t in FIG. 22 is 100 microseconds, then the alternating field might be for example 10 megacycles which would provide 100 alternations in the pulse. If desired, all the pulses may be of the same voltage or the initial pulse can be of a high voltage to align the particles quickly. Thereafter the subsequent pulses may be of smaller voltage or shorter time duration.
DIPOLE REFLECTIVE-ABSORPTIVE PANEL
In another embodiment, this invention is useful in the form of a panel which becomes reflective on applying a voltage and absorptive when the voltage is removed.
A reflective-absorption panel shown in FIG. 10' in fragmentary fashion comprises a cell enclosed in part by parallel glass plates, 52, 53. Plate 52 is provided with a transparent conductive coating 56, and plate 51 is coated with a conductive coating 88 which is a metallic coating in the form of a mirror. The cell is filled with a suspension of dipole particles 50, for example, herapathite particles, suspended in a suitable medium 51. The medium 51 may be, for example, a plasticizer such as dibutyl sebacate or the like. When a voltage is applied between coating 56 and coating 88, the particles 50 are aligned normal to glass plates 52, 53 and parallel with the direction of an incident light ray 59, so that light which enters through transparent plate 52 (and coating 56) is transmitted through the suspension, reflected from the mirror surface of coating 88, and transmitted back out through the suspension as a specular reflection 60.
DIPOLE IRIS DIAPHRAGM
An iris, electrically controllable to any given diameter, may be made by replacing ring eletcrodes 75 and 76 in the device of FIG. 5 by a pair of point electrodes 89, 90 in the center of the field, one near each face of the cell 91 (see FIGS. 11-13). When an electrical potential is applied between the point electrodes 89, 90, no effect is observed until the potential reaches a threshold value which depends on the characteristics of the cell 91 and of the suspension. When the threshold voltage is reached, a small transparent spot 92 appears between the electrodes 89, 90. The diameter of the transparent spot 92 may be reversibly increased or decreased by increasing or decreasing the separation between the electrodes or by increasing or decreasing the applied voltage or both.
By way of example, a transparent circular spot surrounded by a very dark area 93 approximately 8 mm. in diameter can be made to appear in a herapathite suspension by applying a 60-cycle A.C. potential of 5,000 volts across electrodes 89, 90 spaced 3 mm. apart.
As shown in FIG. 12, the apparatus comprises a cell 91 enclosed in part by transparent plates 52, 53 filled with a suspension of dipole particles 50 in fluid 51 and equipped with two pairs of electrodes 89, 90. X-orienting electrodes 95, 96 are located at opposite edges of the cell 91 and are optional, depending on the service in which the apparatus is to be employed. Z orienting electrodes 89, 90 are centrally located at or near the outer surfaces of transparent plates 52 and 53 respectively.
If the dipole suspension is initially in the random condition, the entire field of view is opaque. When a suitable voltage is applied between electrodes 89 and 90, a transparent spot 92 appears between them, the size of which depends on the electric potential difference and the spacing between the tips of electrodes 89 and 90. The dipoles 50 within the transparent spot are Z oriented by the applied field, while the dipoles outside the spot are outside the force field and remain randomly oriented. For this mode of operation, X orienting electrodes 95, 96 are not needed and may be omitted altogether.
The line of demarcation between the transparent spot 92 and the dark randomized area 93 surrounding it, is quite sharp. There is a critical initial electric field intensity required to start the formation of a small central trans18 parent spot. The rim of the transparent circular area shows an abrupt change from transparent to opaque.
In applying a field between point electrodes 89, 90 along the Z axis, the field intensity is greatest along the axis - and then decreases as the distance radius from the Z axis increases. The sharp line of demarcation between the transparent to the opaque areas appears to occur at that radius from· the Z axis at which the field intensity falls below the critical field intensity required to cause the Z 10 alignment.
The aligned dipoles also produce a counterfield which tends to offset the applied field. The counterfield of the aligned dipoles thus modifies the applied field.
When a step D.C. electric field is applied, the Z align15 ment within the dipole iris may be momentarily established, but then disappears due to the formation of a shielding field produced by ion migration to the outer surfaces of the dipole layer. A light pulse thus occurs. However, the dipole iris is permanently maintained by 20 the application of an A.C. electric field. 60 cycle A.C. for example, is very satisfactory.
However, a constant D.C. electric field may be employed when the central electrodes 89, 90 are in contact with the dipole suspension layer. This continuously drains 25 off any ions in the suspending fluid and prevents the establishment of an ionic shielding field. However, this permits only a small radius of the iris to be established unless the electrodes 89 and 90 are replaced by transparent electrodes of a suitable cross-sectional area. A dipole 30 iris of controllable diameter requires that the electrodes 89 and 90 be sufficiently far apart to establish an electric field of suitable intensity and diameter.
If, on the other hand, the dipole suspension is originally oriented in the X direction by a voltage applied between 35 electrodes 95, 96 the cell in its initial condition is partially transparent, transmitting up to about 45% of the incident light. In this condition, it is also light-polarizing because of the X orientation of the dipoles. This condition is illustrated in FIG. 13.
When the cell is in the condition just described and illustrated in FIG. 13, and if the voltage to the X oriented electrodes 95, 96 is cut off, the dipoles will retain their X orientation for a small time interval before appreciable randomization takes place. The duration of the 45 time interval depends on the characteristics of the suspension, particularly on the viscosity of the suspending fluid and the dipole particle dimensions.
If, when the voltage to X orienting electrodes 95, 96 is discontinued, a voltage is immediately or very soon 50 applied across Z orienting electrodes 89 and 90 a transparent spot 92 will again appear in the center of the cell, between electrodes 89 and 90. This phase is illustrated in FIG. 13, showing transparent spot 92. Under these conditions, the area 97 outside of the central spot 92 55 is partially transparent and polarizing, instead of opaque. This is because the particles unaffected by the field between Z orienting electrodes 89 and 90 still have almost their original X orientation in the area 97.
The appearance of the cell 91 in this mode of- opera60 tion is also characterized by an opaque ring 93 defining the borderline between the fully transparent interior of the spot 92 and the partially transparent, polarizing area 97 outside the spot. Inside the spot 92, the dipole particles 50 are Z oriented. Outside the spot, the particles 65 are X oriented. In the dark band there exists an opaque “pseudo-random” orientation, characteristic of particles in transition from X or Y to Z orientation, or vice versa.
An apparatus of this type provides a field of view comprising a fully-illuminated non-polarizing central pupil 70 surrounded by a partially transparent, polarizing general field, and a dark line of demarcation between the two in the form of a dark ring 93 separating the central pupil 92 from the surrounding field. An element having these characteristics is a useful component for optical range 75 finders, gunsights, navigational instruments and the like.
3,512,876
DIPOLE “CURTAIN” SHUTTER
A shutter somewhat analogous to the iris diaphragm may be constructed by using a pair of X or Y orienting electrodes in the form of parallel bus bars (not shown) on opposite edges of a rectangular cell 100. Starting with the cell in a random, opaque condition, a voltage is applied between the bus bar electrodes and gradually increased (see FIG. 14). When the threshold value is reached, the dipoles 50 closest to the bus bars become oriented in the X-Y plane, producing a narrow, transparent (and polarizing) band near each of the electrodes. The oriented dipoles nearest the bus bar electrodes then act as secondary electrodes (see FIGS. 15-17), and these, in turn, cause orientation of particles still farther away. The effect produced is that of a shrinking opaque “curtain,” which leaves behind it a transparent area of a width controlled by time and the applied voltage.
The dipole curtain effect may be applied to what is herein termed a dipole curtain shutter, the operation of which will be understood in connection with FIGS. 14-19.
Referring to FIG. 14, there is shown a dipole cell 100 containing a suspension of dipoles 50· between transparent members 102 and 103. The transparent member 102, for example, may comprise two transparent glass or plastic sheets 104 and 105 laminated together with a transparent conductive film 106 therebetween. In a similar manner, transparent member 103 may comprise transparent glass or plastic sheets 107 and 108 with a transparent conducting film 109 laminated therebetween.
Spaced X orienting electrodes 110 and 111 are supported respectively within insulating transparent or opaque blocks 98 and 99. Blocks 98 and 99 serve to insulate the electrodes 100 and 111. In addition, the transparent glass sheets 105 and 108 serve to insulate the transparent conducting films 106 and 109 from each other and from the electrodes 110 and 111. In FIG. 14 the field configuration is shown when a voltage is applied to the electrodes 110 and 111. It will be seen that the electrostatic field lines 113 and 114 issuing respectively from electrodes 110 and 111 have only a relatively short range of effect upon the dipole suspension in the immediate vicinity of the electrodes. In effect the field is shorted by the transparent conductive films 106 and 109. The result is that the central region between the transparent members 102, 103 generally indicated as 116 is effectively field free. The dipole particles are in random direction and hence opaque to light.
If the suspension was initally in the disoriented state, an alignment of the dipoles will initially occur in the vicinity of the electrodes 110 and 111. However, as soon as the dipoles closest to the electrodes 110 and 111 are aligned, the electrostatic field is effectively moved toward the central area 116 as shown in FIG. 15. In fact, the aligned particles tend to act as a pathway for the electrostatic lines of force which then travel along the aligned particles leaving a smaller central area 116α still in the random condition. This process continues, the dipole particles 50 aligning in succession like a series of falling dominoes, so that the field free central region 116α becomes smaller and smaller and the planes at which alignment is occurring continue to approach each other until the condition shown in FIG. 16 prevails in which all of the dipole particles 50 between the electrodes 110, 111 are aligned in the X direction.
FIG. 17 is a front view of the condition shown in FIG. 15 showing two horizontally X aligned areas 112 and and 115, and a central disaligned area or band 116. The areas 112 and 115 generally have a transmittance of between 15 and 45% and strongly polarize light. The central band 116 forms a black absorbing strip having a transmittance of the order of .01% to 1%.
Assuming no voltage initially, and the particles in a random state, the application of the voltage along the X axis causes the black absorbing band 116 to become pro20 gressively narrower until it disappears, the entire cell then being uniformly oriented and transparent to light polarized with the H vector parallel to the orientation direction of the dipole particles.
With the cell shown in FIG. 14 the cell may be rendered initially transparent through the application of an electric field along the Z axis which aligns the dipoles normal to the face of the cell.
Referring now to FIG. 18 in which the dipole particles were initially oriented in the Z direction, upon application of an electric field along the X axis the dipole particles in the areas in the vicinity of the X orienting electrodes 110 and 111 attempt to realign themselves in the X direction but first pass through a random state of very low transmittance in the strips 117 and 118.
As this process continues, the central area 1166 in FIG. 18 which was initially transparent, becomes narrower and narrower. On both sides of the transparent strip 116Z> there are dark strips 117 and 118 which are in that random phase through which the initially Z oriented particles in central area 116i> pass to become X oriented particles.
As the process continues further, the transparent band 1166 becomes narrower and narrower, finally merging into a single central dark band. As the strip areas 117 and 118 come together and merge, transparent area 116b disappears; thereafter, all of the randomly directed particles in the dark central band produced by the merging of bands 116 and 117 disappear, and the entire cell then contains dipole particles which are X oriented.
When the sequence just described is complete, all of the dipole particles are oriented in the X direction and the cell is partially transparent and polarizing. From this condition the cell may be switched as desired to either an opaque or a transmitting non-polarizing condition, by application of a suitable voltage pulse between Z orienting electrodes via the transparent conductive films 106, 109.
If it is desired to switch the cell from the X orientation to an opaque condition, the electric field in the Z direction is applied between the transparent electrodes 106, 109 in a short pulse. The short pulse swings the dipole particles part of the way from the X toward the Z orientation, but is discontinued before the reorientation is complete, leaving the dipoles in an intermediate random condition. The cell is then opaque, and is either absorptive or diffusely reflective, depending upon the characteristics of the particular dipole suspension used.
If it is desired to switch from partially transparent X orientation to a fully transparent condition, it is necessary only to apply the electric field between the Z orienting electrodes, via the transparent conducting films 106, 109, in a longer pulse of sufficient duration to allow the oriented in the Z direction, and the cell to become fully transparent. FIG. 19 graphically illustrates the operation of this cell.
A dipole curtain shutter of the type just described is useful in a variety of ways, among which may be mentioned exposure control and masking in photographic processes, as a light control element for displays, etc.
COMPACT LIQUID DIPOLE SHUTTER
FIG. 38 shows still another embodiment of the present invention, comprising two cells, 119 and 120, each containing a suspension of dipole particles 50 in a transparent medium 51. Each of the cells is enclosed by suitable enclosure means, including transparent walls of glass or the like which are omitted in this view for purposes of clarity.
Each of the two cells 119, 120, is located between a pair of electrically conductive, transparent films. These films 106 and 109 are located on either side of cell 119 and films 106α and 109α are located on either side of cell 120. The conductive films may be enclosed in and protected by walls of glass or the like in the manner set forth
3,512,876 <sup>21</sup> above in connection with FIGS. 14, 15 and 16. Where appropriate, a single sheet of glass, transparent plastic or the like may serve as one of the enclosing walls of one of the cells and simultaneously as one of the enclosing and projecting walls for a neighboring conductive film. In certain cases the conductive film forms a layer on the glass surface in direct contact with the dipole suspension layer.
FIG. 38 shows the cells, 119, 120 in the transparent condition. This condition is brought about by orientation of dipole particles 50 in a “Z” direction, normal to the faces of cells 119 and 120, and hence parallel with the direction of an incident light ray 121. In order to effect this orientation, a voltage is imposed between conductive films 106, 109, and 106α, 109α, in both cells. The voltage between the films 106 and 109 orients the dipole particles in the cells 119, 120. The voltage is applied to the conductive films by suitable leads electrically connected to bus bars 101α, 101b, 101c, 10Id or the like in the form of metallic strips along the edges of the conducting films 106, 109, 106α, 109α. Strip 101b along the top of film 109, is connected as shown to one side of a voltage source, which may be an A.C. or D.C. generator or the like (not shown), and a charge is thereby imparted to the whole surface of conductive films 109. Strip 101α, along the bottom of film 106, is connected to the other side of the same voltage source and film 106 thereby acquires an opposite charge. The opposing charges of the two films set up an electrical field in the Z direction indicated by the arrows, and this field is effective to orient dipole particles 50 parallel with the arrows, thus making the cell transparent.
In similar manner, strip 101c on the right edge of film 106α, is connected to the one end of the voltage source and strip 10 Id on the left edge of film 109α is connected to the other, thus generating a similar electric field through cell 120, and orienting the dipole particles therein also in the Z direction.
When it is desired to switch the shutter to an opaque condition, the electrical connections are switched to the arrangement, shown in FIG. 39. With the apparatus in this condition, strip 101b, on the top edge of cell 119, is connected to one side of the voltage source, and strip 101α, on the bottom edge of cell 119 is connected (through ground) to the other, thus setting up an orienting electric field within the cell in the vertical or Y direction.
If conductive films 106 and 109 were widely spaced as illustrated in FIGS. 38 and 39, the electric field applied across the dipole layer alone would be sufficient to orient dipole particles 50 in the vertical or Y direction, as shown. FIGS. 38 and 39, however, are exploded views, and for the sake of compactness films 106 and 109 should be located in close proximity to the surfaces of the dipole suspension layer. When so located, the conductive films 106 and 109 would tend to deflect the field by “shortcircuiting” the lines of force, thereby causing the field to bypass the interior of the cell, leaving no field throughout most of the cell area to orient dipole particles 50 along the X or Y axes. To overcome this effect, strip 101b along the top of film 109, is also connected to the one side of the voltage source and strip 101α, along the bottom thereof, to the other. The conductive films have an optimum resistivity per square which limits current and ohmic heating to a low value, yet provides a current shield sufficient to provide a uniform voltage gradient in the X or Y directions. This shield causes a direct or alternating current to flow through film 109 in or against the direction indicated by the arrows. Similarly, strip 101b, on the top of film 109, is connected to the one end of the voltage source and strip 101α, on the bottom thereof, to the other side of the voltage source, thus causing current flow in film 109. The effect of the current flow in films 106 and 109 is to prevent their functioning as conductive paths for the electric field between strips 101α and 101b. Consequently, the electric field gradient is produced parallel to the X <sup>22</sup> or Y axes, which is effective to orient the particles as indicated in FIG. 39.
In similar fashion, an electric field is generated in cell 120 by connecting strip 101c, on the right edge thereof to one side of the voltage source and strip lOld, on the left edge, to the other. Short-circuiting of the electric field is avoided and an electric field gradient is established in the cell parallel to the X or Y axes by connecting strip 101c to the one end of the voltage source and strip lOld to the other, thus causing current flow through films 106α and 109α, respectively, in or against the direction indicated by the arrows.
With the cell in the opaque condition, as illustrated in FIG. 39, the dipole particles in cell 120 are oriented in the horizontal or X direction, and the dipole particles in cell 119 are oriented in the Y direction. The opaquing effect is the same as excluding light by crossed polarizers.
For the type of cell illustrated in FIGS. 38 and 39, best advantage can be taken of the “crossed” condition of the two cells in the opaque state, by using a light polarizing type of dipole particle, such as a suspension of herapathite crystals in a transparent, inert, non-conductive fluid, as hereinafter set forth in Example 1. Alternatively, the suspension may comprise metallic dipoles in a similar fluid, as hereinafter described.
The conductive films 106, 109, 106α and 109α may be any suitable transparent electrically conductive film as previously described herein.
The cell illustrated in exploded form in FIGS. 38 and 39 is shown in assembled form in FIGS. 40 and 41. In FIGS. 40 and 41, some of the electrical connections illustrated in FIGS. 38 and 39 have been omitted, and the transparent plates of glass, transparent plastic or the like, forming part of the shutter assembly, have been included. Thus, in FIG. 40, the cell is seen to comprise a first glass plate 133, and a second glass plate 134, with conductive film 106 laminated between them. Second plate 134 serves also as one of the containing walls of cell 119. The opposite facing wall of cell 119 is a third glass plate 135. Conductive film 109 is laminated between plate 135 and a fourth plate 136. Similarly, conductive film 106α is laminated between plate 136 and a fifth plate 137, which also serves as one of the containing walls for cell 120. The opposite facing wall of cell 120 is a sixth plate 138. Conductive film 109α is laminated between plate 138 and a seventh plate 139. It will be understood that the relative dimensions are distorted in FIG. 40 for purposes of clarity, and the entire assembly may be, and preferably is, quite thin—for example having an overall thickness of 6 mm., while the width as viewed from the front (as in FIG. 39) may be 60 mm. or more. In FIG. 40 the dipoles in layers 14® and 141 are shown oriented the same as in the exploded view of FIG. 39, for the opaque state.
Another embodiment of the compact liquid dipole shutter according to the present invention is illustrated in exploded perspective in FIGS. 42 and 43. In this design, only one cell is used. In the transparent state shown in FIG. 43, all of the dipole particles 50 are oriented normal to the faces of cell 142, in the Z direction, in essentially the same manner as illustrated for the two cells 119 and 120 of FIG. 38. Thus to render the shutter transparent, metal strip 143 at the top of conductive film 109 is connected to the one side of a voltage source, so that film 109 acquires a charge. Strip 144, at the bottom of conductive film 106, is connected to the other side of the voltage source, and film 106 thus acquires an opposite charge. The two oppositely charged films create an electric field effective to orient the particles in the Z orientation, as shown.
When it is desired to switch the shutter of FIG. 43 to the opaque condition, the electrical connections are switched to the arrangement shown in FIG. 42. When so connected, bus bar 101 at the top of cell 142 is connected to one side of the voltage source, and bus bar 101α at the bottom thereof, connected to the opposite side, set3,512,876 ting up an electric field effective to orient dipole particles 50 in the vertical or Y direction. Simultaneously, diversion of the electric field due to the presence of conductive films 106 and 109 is avoided by connecting strips 143 and 145 to bus bar 101 and strips 144 and 146 to the bus bar 101<z, thereby causing a current to flow in each of the conductive films 106, 109. In connection with FIG. 42 it is preferred to induce the opaque random state by a voltage pulse of suitable amplitude and duration, as explained in connection with FIG. 19.
In this type of shutter, in order to achieve a large electrodichroic ratio, it is important to provide dipole particles having suitable electrodichroic characteristics. One type of dipolar particle which may be employed in a cell such as shown in FIG. 43 is a metal flake, for example a suspension of minute flakes of aluminum or the like. Such flakes may be prepared by chopping or milling a thin, aluminum layer, preferably while the same is carried on a suitable carrier film such as a soluble polymer film or the like, and then dissolving away the carrier film and concentrating the desired size fraction by centrifugation.
When a suspension of flakes is oriented by a field parallel to the path of incident light rays, as shown in FIG. 43, the particles are aligned edgewise to the incident light, and the suspension is transparent.
When, on the other hand, the particles are oriented by a field parallel to the Y axis, as in FIG. 42, the major axes of the particles are vertically oriented, while the minor axes are randomly arranged in the horizontal plane. The effect might be likened to a roomful of panels each hung by a single string from the ceiling, and the passage of light is effectively prevented.
Flow of electric current through the transparent conductive films need not necessarily be continued after the cells have been brought to the opaque condition. Once the particles have been brought into the proper alignment for the opaque condition, the current flow through the transparent films may be discontinued, for example, by disconnecting some or all of the electrical leads to the metal strips or bus bars associated with the films. Although the effective field strength through the cell is thereby sharply reduced, this is of comparatively little importance once the new orientation has been established, because the field strength required to maintain the particles in the new orientation is much less than that required initially to reorient them.
DIPOLE SHUTTER WITH SPACED ELEMENTS
The dipole shutters just described, and illustrated in FIGS. 38 to 43 inclusive, have an outstanding advantage in that they may be compact. However, a small current must be drawn is very low, and does not constitute a disadvantage in most applications. Where extremely low power drain is a paramount consideration, however, and compactness is a secondary factor, the embodiment of the invention illustrated in FIG. 44 may be utilized.
FIG. 44 shows a shutter comprising a pair of spaced conductive loops or rings 75 and 76, which may be of any conductive material, for example copper. In the space between the rings are two cells 147 and 148.
Cell 147 is enclosed by transparent glass walls 149 and 150, spaced by annular gasket 151. In the interior of the cell, within the central space bounded by walls 149 and 150 and gasket 151, is a suspension of dipole particles 50 in a transparent, inner, non-conductive medium. The suspension may advantageously be a suspension of herapathite dipoles as described in Example 1.
Cell 148 is of construction similar to cell 147, and is bounded by transparent glass walls 152 and 153 and gasket 154. Cell 148 contains a dipole particle suspension similar to that contained in cell 147.
Electrodes 155 and 156 are provided at opposite side edges of cell 147, and electrodes 157 and 158 are provided at the top and bottom, respectively, of cell 148.
The electrical system comprises a source of electrical potential (not shown), having one side indicated at 159 and the other as ground 160.
Various switches or relays or a single multiple-throw switch, are provided as indicated at various points in the figure.
When the shutter is to be made transparent all switches are thrown to the “B” position indicated in the drawing. This causes ring 76 to be connected to one side of the voltage source and ring 75 to the other side. The electrodes 155, 156, 157 and 158 are disconnected from the voltage source in this phase of operation. The result of the connection of rings 75 and 76 as just indicated is to impart one charge to ring 76 and an opposite charge to ring 75. This arrangement sets up an electrostatic force field through the cells in the direction indicated by the dashed lines, generally parallel with the path of an incident light ray indicated at 161. The force field orients the long direction of the dipole particles in both cells in the same direction as the light ray and renders the shutter transparent.
When it is desired to make the shutter opaque, the switches are thrown to the position in which they are actually illustrated (the “A” position in each case). This position disconnects rings 75 and 76 from the voltage source 159, and connects electrodes 156 and 157 to the one side of the voltage source. The result is to set up a vertically directed electric field in cell 148, and a horizontally directed field in cell 147, and the field in each case being parallel with the transparent walls of the cell. The long directions of the dipole particles are thereby cross-oriented, those in cell 148 being vertically oriented and those in cell 147 horizontally oriented. The incident light is thereby effectively blocked. In one embodiment of the present invention the dipole particles employed are minute elongated crystals of herapathite. The electrodichroic ratio of such a shutter is particularly high, ratios of 12 and greater being obtainable.
In order to prevent the conductive rings 75 and 76 from “short-circuiting” the electric field lines and thus diverting the field away from the interiors of the cells, each ring should be separated from the cell nearest it by a_ suitable air gap, or some transparent insulating material (indicated as distance d in FIG. 44). Also, to prevent shorting of the field between electrodes 156 and 157, or between electrodes 155 and 158, there should be provided an air gap or other transparent insulating means between cell 147 and 148, also indicated in the drawing as an air gap of width d. The magnitude of d, or the insulating value of other insulating means employed, depends primarily on the voltage of the field, and the distance between electrodes 156 and 157, or 155 and 159, respectively. For a typical shutter having an aperture, or cell diameter of 3 cm., and using a dipole suspension having a resistivity of 30 megohm-cm., and a maximum voltage just under breakdown in the range of about 30 kv./ cm., a spacing of 3 cm. between each ring and its neighboring cell gives satisfactory results. The spacing between cells should ordinarily be approximately the same as the spacing between the cells and the rings.
It may be noted that current flow is not required either for transparentizing or for opaquing the shutter. Therefore, although high voltages are required ,the only power loss is in the form of leakage currents. These are very small in a carefully-constructed shutter, so that the actual power demand is very small, notwithstanding the voltages involved.
In FIG. 45 there is shown a circuit for applying a high voltage pulse across the dipole cell.
In FIG. 45 a switch 161 operates a conventional pulser 162. This pulser produces a positive 50 volt rectangular D.C. pulse indicated at 163 in the graph above the circuit showing a rise time of about 1 microsecond and pulses of controlled duration and repetition rate.
3,512,876
The function of the intermediate pulse amplifier 164 is to increase the amplitude of the voltage pulse 163 from 50 volts to a positive 200 volt pulse 165. The circuit of the amplifier 164 for accomplishing this purpose is shown in FIG. 46. The circuit is shown in detail with the <sub>g </sub>values of its components and is conventional. It is familiar to those skilled in the art and, therefore, does not require further explanation.
The 200 volt pulse 165 is applied to the control grid of the high voltage pulse amplifier circuit 166 and results in a negative 4,000 volt pulse 167 having a pulse duration and repetition rate which is controlled by the pulser 162. The voltage pulse 167 is applied to the transparent electrodes 168 and 169 of the dipole cell 170 which is shown schematically. Between the transparent conduc- 15 tive layers 168 and 169, a dipole suspension layer 171 is provided. The construction of the cell may be generally similar to that shown in FIG. 1.
In the tests described herein, particularly as illustrated in the graphs of FIGS. 31 through 35 inclusive, a single 20 rectangular D.C. pulse was applied and the effect observed upon a light beam from a suitable light source. The light beam passed through the dipole cell 170 to a photocell (not shown) which was amplified by an amplifier and viewed on a memoscope (a storage type cathode ray oscil- 25 loscope capable of storing and displaying a single transient) .
A memoscope was triggered by the voltage pulse which was applied to the triggered leads of the memoscope. The curve of transmittance versus time was displayed on the 30 memoscope face and the photographs stored on the memoscope were then subjected to mathematical analysis. The high voltage pulse amplifier shown in FIG. 47 is also conventional and further explanation is not required, since the values of the various components are shown in con- 35 ventional symbols, and will be readily understood to all skilled in the art.
Other well known circuits may be employed. In place of the pulser 162, there may be employed a frequencypulse generator which can put out any of the voltage pulses 40 shown in FIGS. 19 to 22, inclusive, which may be suitably applied to the X, Y or Z electrodes to obtain the required optical response.
PREPARATION OF DIPOLE SUSPENSIONS <sub>45</sub>
The prior art relating to preparing dipole particle suspensions having utility in electrodichroic systems, is unsatisfactory for the purposes of the present invention. In the mathematical section there is hereinafter set forth precise physical characteristics for dipolar particle suspen- <sup>50 </sup>sions and methods of tests and evaluation. As a result of this mathematical analysis certain novel compositions and methods of preparation of dipole particle suspensions suitable for the practice of this invention were discovered, examples of which follow. <sup>55</sup>
NO. 5_____________________________________
Percent
Solution Material Percent Solids solids
No. 1__________________________ 9 pts. Iodine, Quinine Bisulphate; IQS----- 20.0,4.06 1.8 5.5 IQS
No. 4__________________________91 pts. Nitrocellulose------------------------ 7.55 a. 7 6. 87 N/C form an optically clear, non-scattering dipole particle suspension of suitable electrodichroic ratio and sensitivity, the reacting solution should be:
(1) miscible (2) at maximum concentration (3) at low viscosity (4) at low temperature (5) violently agitated
An example follows.
Example A
No. 1: Parts by weight
Iodine__________________________________ 20
Normal propanol_________________________ 80
100
The iodine is dissolved in the normal propanol by heating and shaking.
No. 2:
Quinine bisulphate______________________ 32.5
Methanol _____________________________ 67.5
100.0
For complete solution warm with agitation in a hot water bath to about 70°.
No. 3:
Nitrocellulose, 5-6 second type RS (solids) — 12.5
Isopropyl alcohol 5.5
Isopropyl acetate-------- 16.0
Toluol 16.0
Methanol 50.0
100.0
Solutions Nos. 2 and 3 are then heated to 70° C. and used to prepare No. 4.
NO .4_____________________
Percent
Material, percent Solution solids
No. 2.......... Quinine Bisulphate, 32.5--..
{Nitrocellulose, 12.5__________
Methanol------------------Butyl Acetate______________
12.5 4.06
60.6 7.55
13.0..........
14.0..........
Total.................................-..... Ιθθ-θ H-01
This solution is then warmed to 70° C. and pressure filtered at the same temperature to remove any centers of crystallization.
Solution No. 1 is cooled in an ice bath to 0° C. These Solutions Nos. 1 and 4 are then mixed in an ultrasonic mixer which is contained within an ice bath. The result is:
Total 100 <sup>s</sup>-<sup>5 12</sup>·<sup>37</sup>
PREPARATION OF SUBMICRON HERAPATHITE CRYSTALS
To product submicron herapathite crystals in high concentration in a low viscosity suspending fluid, which
While Solution No. 5 is being prepared, alkyl epoxy stearate (Celluflex-23) is cooled in an ice bath to 0° C., and added in the following proportions to make:
NO. 6
Parts Material
Solution No. 5-------------------Celluflex-23------------------------- (lodoqulnine Sulphate...5.5 <sup>77</sup> (Nitrocellulose 6.87
Celluflex-23 23.0
Suspended Solution
Total 100
35.37
Percent nonvolatile
3,512,876 <sup>27</sup>
No. 6 is then mixed wih a mechanical stirrer for about 10 minutes to insure complete reaction and homogeneity. After this, to remove the volatile solvents, the suspension No. 6 is placed in a rotating evacuator for about 2 hours and a paste is then obtained, which has a resistivity of at least 30 megohm-cm.
The analysis of the paste resulting from No. 6 after the volatiles have been removed is
No. 7: Parts lodoquinine sulphate 15.5
Nitrocellulose 19.5
Celluflex 23 65.0
100.0
As a diluent for the paste there is then prepared
No. 8:Parts
Xylol 80
Butyl acetate 20 <sup>100</sup>
No. 9:
No. 7 50
No. 8 50
100
A solids analysis of No. 9 is as follows:
Percent concentration lodoquinine sulphate_________________________7.75
Nitrocellulose _______________________________9.75
The iodoquinine sulphate contained:
Percent
Iodine...................... 1.832.7
Quinine bisulphate......... 3.762.3
Total............. 5.595.0
No. 9 may be used directly or be centrifuged to obtain a supernatent liquid for use in an electrodichroic system.
A herapathite suspension prepared in this manner is characterized by elongated submicron crystals of herapathite, which remain in suspension without settling and which is suitable for use as a dipole particle suspension in the practice of this invention.
Chemically herapathite is quinine trisulphate dihydroiodide tetraiodide hexahydrate, the chemical name for
4C<sub>20</sub>H<sub>24</sub>O<sub>2</sub>N<sub>2</sub>-3H<sub>2</sub>SO<sub>4</sub>-2HI-I<sub>4</sub>-6H<sub>2</sub>O
The molecular weight 2,464.
Stoichiometrically herapathite contains approximately 25.8% of iodine which is approximately a ratio of iodine to quinine bisulphate of Vz.
However, I have found that the proportions can be varied from Vz through Yt. This is apparently due to herapathite being a molecular compound or a mixed crystal in which the proportion of the components may vary.
Moreover, the HI in the compound is present in the proportion of two moles of quinine to one of HI. The heating of the iodine solution No. 1 usually suffices to provide sufficient HI as set forth in the above example. The presence of HI in stoichiometric quantities is required to form a stable crystalline compound. An additional quantity of HI may be added to achieve the molar ratio set forth.
Generally I have found the composition of Example A to be satisfactory, and this composition has been used in most of the tests.
Flake dipole suspensions
To prepare metallic flakes for use as dipole particles, a layer of metal is deposited, for example, by known vacuum deposition techniques, on a film of plastic or other convenient substrate, and the substrate is subsequently dissolved, thus causing the metal film to be suspended as a flake in the solvent. The suspended film is then chopped to flakes of the desired size.
Example B
Aluminum flake suspensions
Aluminum flake suspensions were prepared in silicone oils utilizing irregularly shaped flake-like aluminum particles of a diameter between 1 to 17 microns and a thickness about 0.1 to 1.0 micron. Two different suspensions were prepared:
Material Density Viscosity weight
Aluminum flake 5
Silicone oil________________________________________ 6.6510
Do---------- 3.050
Do------------------------------------- 1,000.035
Total 100
Viscosity: 23 cs.
Concentration: 0.05 gm. Al per gm. suspension.
The aluminum is put into suspension by shaking the mixture at room temperature.
Example C
Ultrathin aluminum flake suspensions
A new method of preparing ultrathin aluminum flake suspensions has been developed. Aluminum flakes 1-17 microns in diameter, and 0.1 to 1 micron in thickness are used as the starting point. A suspension is prepared by adding 48 grams of the aluminum flake material to 300 cubic centimeters of di-iso-octyl adipate. This mixture is then shaken and poured into a 500 cubic centimeter graduated cylinder and allowed to settle. Most of the aluminum flakes then settle to the bottom of the graduate. However, a small portion of the flakes remain suspended in a thin layer at the top of the graduate. This top layer then comprises ultrathin aluminum flakes, approximately 0.1 micron in thickness. The layer is then poured off and utilized for testing.
Thus, by means of this floatation method, the 0.1 micron thickness flakes are separated from the thicker flakes. These ultrathin flakes may be further separated and concentrated by centrifuging.
With the low viscosity, ultrathin flake suspension, a large electrodichroic ratio and a large sensitivity is obtained.
Another way to make thin flakes of aluminum or the like is to coat a thin rubber sheet with a film of aluminum by exposing it to aluminum vapor, until a film of approximately 0.1 micron thickness has been built up. This sheet is then stretched to break up the surface into flakes of aluminum. The underlying rubber sheet is next dissolved in order to place the flakes in suspension. Finally, the large flakes are eliminated, and the small flakes in the desired size range are concentrated, by centrifugation. This technique can also be employed using polyvinyl alcohol or polyvinyl chloride sheets by heating the sheets after the coating step, to facilitate their being stretched.
The resulting suspension is suited for use in those embodiments of the invention which require a suspension of dipoles in the form of flakes—for example the ReflectiveAbsorptive panels discussed earlier herein.
Methods of making needle-like metal dipole suspensions
For the production of a metal rod dipole particle, a convenient method is to dissolve a metal salt in a matrix of polyvinyl alcohol, cast the solution as a polyvinyl alcohol film, soften and stretch the film in known manner, reduced the metal salt to the metal by exposure of the film to a reducing liquid or gas, and finally dissolve the polyvinyl alcohol in a suitable solvent, thereby providing a suspension of metal rods.
3,512,
Another convenient method of manufacturing minute metallic dipole particles is to employ a soluble thread having a diameter in the submicron range, and deposit a film of aluminum on the thread by passing the thread through a zone or chamber in which it is exposed to <sub>g </sub>aluminum vapor. The thread is then wound on a spool, and sliced with a microtome. Finally the supporting thread is dissolved in a suitable solvent, leaving the metal coating in the form of thin aluminum strips in colloidal suspension. 10
Needle-like metal dipales from whiskers”
Needle-shaped metallic dipoles may be formed from a metal such as gold, platinum, palladium, chromium, tin or jg the like, which are known to grow submicron-diameter crystal whiskers under appropriate conditions, usually from the vapor phase. These crystal whiskers may then be incorporated into fluid to form a dipole suspension. Such needles, if classified to a uniform length, may be made <sub>2</sub>o sharply selective as to the wavelengths of light affected by them. This property results from their large length-tothickness ratio and resistivity, for reasons which are explained below. Such materials constitute a new class, of pigments different in effectiveness and mode of operation 25 from conventional pigments.
The factors controlling the growth of needle-like whisker dipoles are partial pressure and temperature of the metal vapor, temperature and nature of the deposition surface, and time of growth. Usually the growth occurs 30 best under vacuum, or inert gas such as helium or nitrogen, but in some cases as with gold, whiskers can be grown in air. Two gold sheets separated by a few millimeters and by a few degrees temperature difference, held in air at a temperatrue such as to generate an appreciable 35 gold partial vapor pressure, will cause gold whisker crystals to grow normal to the surface of the cooler gold sheet. The dimensions of the whiskers are such as to fall within the size ranges herein specified. On cooling, the whiskers may be incorporated in a plastic film formed by 40 coating the surface of the gold sheet, encompassing the whiskers. Upon drying, the film may be stripped away and dissolved leaving the gold dipoles in suspension in the fluid. This process may be performed continuously using an endless belt of a material such as stainless steel, which is initially provided with active sites for initiation of whisker growth.
Flat crystals
Flakes made from crystalline material such as lead carbonate (pearlescence) may be grown to any desired size by methods well known to the art. These flakes have an index of refraction of about 2.4, and when placed in a fluid having an index of refraction of about 1.5, are readily aligned by an electric field, and in the equivalent of about <sub>gg </sub>15-20 layers almost totally reflect visible ultraviolet and near infrared radiation, when disoriented or oriented in the plane of the cell wall or sheet; while being almost completely transparent when aligned normal to the sheet surface. θθ
Zinc vapor will deposit submicron flat crystals on a substrate, which can be dissolved away as above described, to yield a metal flake suspension having dipolar characteristics.
Graphite forms flat hexagon flakes which when sus- <sub>6g </sub>pended in an oil of small viscosity shows dipolar characteristics.
Antenna effect
The dipole particles of this invention may be described as behaving like minute antennae, exhibiting many of the physical properties associated with the macroscopic antennae used for transmission and reception of radio, television and radar signals and the like. They differ from these primarily in that they are “tuned” to very much 75
876 <sup>30</sup> shorter wavelengths, namely those in the visible and neighboring portions of the electromagnetic spectrum. Despite the difference in dimensions, certain dipole particles of this invention behave toward light rays in a manner very similar to that in which large antennae behave toward radio waves.
To review briefly the theory underlying this concept, light is an electromagnetic wave having three functional attributes, which are (1) amplitude or intensity, (2) wavelength or color, and (3) polarization or the vibration direction at right angles to the direction propagation of the ray. Radio, television and light, which are all electromagnetic waves, share the same fundamental properties.
A half-wave dipole antenna, of the type used for television reception, is responsive to all three attributes, and absorbs and reradiates energy in a manner dependent on all three, depending on its length, thickness, resistivity and angular orientation with respect to the incident wave, In the same way a half-wave dipole turned to visible light is capable of controlling all three attributes of light by varying its length, thickness, resistivity and angular orientation.
The electric power absorbed from the radiation by the half-wave dipole depends upon two orientation angles of the dipole. The first angle, Φ, is that between the length of the dipole and the signal path. The second angle, Θ, is that between the length of the dipole and the direction of polarization of the signal. The direction of polarization of an electromagnetic wave is herein taken as the vibration plane of the electric vector of the wave.
FIG. 24 shows, for a half-wave dipole antenna, a polar graph of absorbed or reflected radiant power versus signal direction φ.
In FIG. 25 the radiation ray path is normal to the plane of the diagram, and there is shown the angle between the dipole length and the polarization direction Θ versus the power absorbed or reflected by the dipole.
Maximum absorbed or reflected radiant power results when the antenna is aligned parallel to the polarized electric vector of the radiation and at right angles to the signal path (¢=0 and 0=90°). The antenna absorbs or reflects no power when it is placed at right angles to the polarized electric vector of the radiation, or arranged parallel to the ray path.
When adjusted for a maximum absorption or reflection of radiant power, a half-wave or λ/2 antenna is then said to become resonant to the particular wavelength λ.
The power absorbed by the dipole from the radiant energy may be reradiated, or absorbed and dissipated as heat, depending on the length and width and the electrical resistance of the half-wave dipole antenna.
If power is to be absorbed from the dipole antenna and utilized in an outside electric circuit, as for example in a television set, a matched or characteristic resistance of about 73 ohms must be inserted at the center of the half-wave dipole antenna, as shown in FIG. 26.
An antenna may be made of such material, thickness and length as to achieve full power absorption, or total reflection.
In FIG. 27 there is also shown a half-wave (λ/2) antenna in which the center resistor is replaced by a single rod 161 having a distributed resistance of approximately 80 ohms, which results in total absorption of radiation in a wavelength range Δλ, centered about the wavelength λ.
Now, if instead of a half-wave antenna with a central resistor or an equivalent distributed resistance, a halfwave antenna of low resistance is employed, then the half-wave dipole antenna becomes reflective for the full wavelength. The radiant power may be said to be absorbed by the half-wave dipole and then reradiated in all directions, with the intensity direction pattern shown in FIG. 24. Thus the resistivity characteristics of the materials, together with the length and width, controls the
3,512,876 <sup>31</sup> distributed resistance of the half-wave antenna, and these factors may be adjusted so that the half-wave dipole antenna has large absorptivity or large reflectivity for incident radiation of a given wavelength band.
FIG. 28 shows another very important property of the half-wave dipole antenna, the “effective cross section.”
FIG. 28 also shows a half-wave dipole antenna having a thickness of (½) its length. Its length is λ/2 and its thickness λ/50. The physical cross section of this halfwave dipole at right angles to the light ray is: (λ/50) (λ/50)=λ<sup>2</sup>/100. However, it is known that the effective cross section of a half-wave dipole antenna is much larger. The cross section from which the half-wave dipole appears to absorb power from a polarized wave with the electric vector parallel to the length of the dipole, is approximately λ<sup>2</sup>/8, or in this example 12.5 times.
Dipole antenna has been employed for the electromagnetic spectrum all the way from long wave radio down through the television range into the microwave and millimeter wave spectrum.
To date, however, no practical method has been suggested for making controlled use of dipole antennae in the visible or adjacent portions of the spectrum.
According to the present invention, visible-light dipoles are readily prepared and methods for readily putting them to controlled, practical use are provided.
Because their effective cross section is much greater than the physical cross section, the dipolar particles may be very sparsely distributed in space. The dipolar particles are sufficiently far apart from each other so as to have no physical interreaction. Each dipolar particle acts independently of the other.
With the resistivity of a metal known (see Table I) the ideal length to width ratio of an absorbing or reflecting dipole particle of various materials have been computed and are shown in Table II.
FIG. 12 shows a cell in the XY plane in which the dipole particles 50 are aligned in the OX direction. Light transmitted along the Z axis into the surface emerges from the other side plane polarized with the electric vector E<sub>y</sub> in the ZY plane. Reflected light, if any, is plane polarized with the electric vector E<sub>x</sub> parallel to the ZX plane. Reflected light is polarized and scattered.
DERIVED RELATIONSHIPS AND RANGES
As used hereinafter: Standard opacity is defined as one minus the transmittance through the effective cross section of a single dipole antenna. All the dipole particles are assumed to be disposed in the plane of a layer with their effective cross sections contiguous, or in a concentration C and layer thickness d<sub>s</sub>*.
The c.g.s. unit system is used throughout.
Table of symbols
A<sub>a</sub>=Cross-sectional area of the dipole antenna.
A<sub>e</sub>=Incident radiation “effective absorption area” of the dipole antenna for polarized light in which the electric vector is parallel to the long direction of the dipole.
A<sub>e</sub>*=Incident Radiation average “effective absorption area” for randomly directed dipole antennae to random polarized for unpolarized light.
A<sub>rz</sub>=Real cross section of dipole particle suspended in a layer of thickness d, when aligned parallel to light beam and normal to such layer.
a=Thickness of the dipole particle.
6=1/tE<sub>z</sub>; a constant.
C=Concentration of dipole particles in suspending fluid, in proportion by weight.
D=Optical density.
D=Minimum optical density corresponding to peak transmittance T.
D<sub>r</sub>=Maximum optical density corresponding to minimum transmittance at random orientation.
D<sub>xx</sub>=Optical density corresponding to electric field E<sub>x</sub>.
D<sub>z</sub>=Optical density corresponding to electric field E<sub>z</sub>.
d=Thickness of a layer of the dipole suspension.
d<sub>5</sub>*=Thickness of a layer of the dipole suspension for standard opacity in the random state.
d<sub>p</sub>=Mean distance between dipole particle centers.
E=Electric field intensity. Subscripts x, y, and z correspond to the electric field direction along the coordinate axes.
F=Electric induction or flux density.
K=ff<sub>rxx</sub>/(q'<sub>rxx</sub>—l)=exponential constant associated with the applied voltage E<sub>x</sub>.
K<sub>o</sub>=0.434/t.
A=Boltzmann’s constant.
k<sub>r</sub>=Randomizing constant for Brownian motion.
L=Length of dipole particle.
M=Mass of dipole particles per unit area of a layer of thickness d.
M<sub>s</sub>=Mass of oriented dipoles per unit area of a layer of thickness d<sub>s</sub> to achieve standard opacity to polarized light with the electric vector parallel to the long direction of the dipoles.
M<sub>s</sub>*=Mass of randomly oriented dipole particles in suspension per unit area to achieve standard opacity to polarized or unpolarized light.
m<sub>L</sub>=Mass of liquid volume containing a single dipole particle.
m<sub>p</sub>=Mass of a dipole particle.
N=Number of dipole particles per unit volume of suspension.
N<sub>s</sub>=Number of oriented dipole particles per unit area required to achieve standard opacity to polarized light in which the electric vector is parallel to the long direction of the dipoles.
N<sub>s</sub>*=Number of randomly oriented dipole particles per unit area to achieve standard opacity to polarized light or unpolarized light.
n=Index of refraction of the suspending fluid.
P=“Electric Polarization” or volume density of electric moment due to a distribution of dipoles.
p=Number of dipoles aligning per unit time, unit volume.
q<sub>rz</sub>==e<sub>r</sub>/e<sub>z</sub>; the random-parallel electrodichroic ratio.
<?<sub>rxx</sub>=e<sub>r</sub>/e<sub>xx</sub>; the random-normal electrodichroic ratio.
q'<sub>r</sub>xx= Maximum asymptotic value of q<sub>rxx</sub> approached at high electric field strengths E<sub>x</sub>.
<f<sub>rz</sub>=Maximum asymptotic value of q<sub>rz</sub> approached at high electric field strengths E<sub>z</sub>.
<y<sub>xy</sub>=e<sub>xy</sub>/e<sub>r</sub>; the cross-normal electrodichroic ratio.
<y<sub>xyr</sub>=e<sub>xy</sub>/e<sub>r</sub>; the cross-random electrodichroic ratio.
<7<sub>xyz</sub>=e<sub>xy</sub>/e<sub>z</sub>; the cross-parallel electrodichroic ratio. R=Resistance of dipole particle.
R<sub>c</sub>=Characteristic resistance of space=376.7 ohms (constant).
R<sub>L</sub>=Radiation resistance of the dipole antenna.
S=Sensitivity.
S<sub>0</sub>=Inherent or standard sensitivity.
S<sub>rxx</sub>=Sensitivity of a dipole suspension operating in the random-normal mode.
S<sub>rz</sub>=Sensitivity of a dipole suspension operating in the random-parallel mode.
T=Transmittance.
T=Peak transmittance at a given electric field strength.
T<sub>r</sub>=Transmittance of a dipole suspension in a random state.
T<sub>rxx</sub>=Transmittance of a dipole suspension initially in a random state operating in the random-normal mode and partially aligned by the applied electric field intensity E<sub>x</sub>..
T<sub>z</sub>=Transmittance of a dipole suspension initially in a random state operating in the random-parallel mode and partially aligned by the applied electric field intensity E<sub>z</sub>.
V<sub>p</sub>= (1/77)= Volume cube occupied by one particle.
a.=d<sub>s</sub>/L
3.512.876 <sup>33</sup> o<sub>L</sub>=Density of the fluid in which the dipole is suspended. 8<sub>p</sub>=Density of the dipole particle.
e<sub>0</sub>=Dielectric constant for free space.
For the random (r) normal (r or y) or parallel (z) orientations the following extinction factors are measured by observing the optical density of a given dipole suspension thickness d; but for the cross orientations, die optical density is observed with two dipole suspension layers each of thickness d/2. The extinction factors re- <sub>1Q </sub>ferred to below and in the reported results are to be multiplied by the density of the suspending liquid in order to obtain the extinction factor normally measured in Beer’s law.
,· <sup>15 </sup>e<sub>r</sub>=Extinction factor for dipoles in random alignment. e<sub>z</sub>=Extinction factor for ordinary or polarized light for dipole particles partially or completely aligned parallel to the OZ axis with an electric field E<sub>z</sub> applied along the Z axis. . . 20 e<sub>xx</sub>=Extinction factor for incident plane polarized light with plane of polarization parallel to the OX axis, and for dipole particles partially or completely aligned by an electric field Εχ parallel to the OX axis, for light rays directed along the OZ axis. 25 e<sub>xy</sub>=Extinction factor for light rays directed along the OZ axis for two layers of dipole particles having equal thickess, d/2. The dipole particles of one layer are partially or completely aligned by an electric field E<sub>x </sub>parallel to the OX axis, and the dipole particles of a 30 second layer are partially or completely aligned by an electric field E<sub>y</sub> parallel to the OY axis; and by definition, in this case, Ε<sub>γ</sub>=Ε.,.
η=Viscosity of the suspending liquid.
g=Absolute temperature. 35
X=Wavelength of incident radiation in a vacuum.
p=Resistivity of the material comprising the dipole particle.
o-<sub>rxx</sub>=Slope of the graph of the random-normal electrodichroic ratio q<sub>rxx</sub> versus electric field strength E<sub>x</sub> at 40 E<sub>x</sub>=0.
<r<sub>rz</sub>=Slope of the graph of the random-parallel electrodichroic ratio q<sub>rz</sub> versus the electric field strength E<sub>z</sub> at E<sub>z</sub>=0.
τ<sub>Γ</sub>=Relaxation time constant. 45 t—Characteristic rise time.
w=L/a; Ratio of dipole length to width.
(I) DERIVATIONS FROM ELECTROMAGNETIC THEORY 50 (1) General discussion
A mathematical study applying the well known principles of the electromagnetic radiation-antenna theory to 55 dipolar conducting particles was made. In accordance with this theory, the radiation absorption area for an antenna is defined by the complex Poynting vector. This vector is directed perpendicular to the plane containing the electric and magnetic vectors of the force between 6θ moving charges in widely separated conductors. It is used to measure the actual flow of radiation per unit area by introducing a fictitious “effective” cross section for the receiving antenna. It is well known that such an “effective” cross section of a dipole antenna having a matched load in the equivalent circuit of the receiver, is:
A<sub>e</sub>=(R<sub>c</sub>/R<sub>L</sub>)(X/2^)<sup>2</sup> (1)
This evidently is not the cross-sectional area of the antenna, nor it is in any way related to it. In fact, if the antenna is taken to be indefinitely thin so that its cross section vanishes, R<sub>L</sub>=73.13 ohms. The effective cross section of a resonant dipole in air or vacuum, when the long 75 direction of the dipole is parallel to the electric vector of polarized light is then given by:
A<sub>e</sub>= (376.7/73.13) (λ/2π)<sup>2</sup>=0.13λ<sup>2</sup> (2) or approximately:
Αθ-λ<sup>2</sup>/8 (3)
For ordinary unpolarized light, or randomly polarized light, the long direction of the dipole makes random directions with the electric vector. Therefore, for ordinary light, the average effective area is given by:
A<sub>e</sub>=X<sup>2</sup>/16 (4)
For example, for an antenna having a length to thickness ratio of 100, the actual antenna cross section A<sub>a</sub> is:
A<sub>a</sub>=(X/?r) (λ/100ττ)=λ<sup>2</sup>/1000 (5)
Then, the ratio of “effective antenna radiation absorption area” to “actual antenna cross-sectional area” for a dipole whose long direction is parallel to the electric vector of polarized light, is:
J<sub>e</sub>/ri<sub>a</sub>=0.13,\<sup>2</sup>/(X<sup>2</sup>/1000)=130 (6)
Consider a dipole antenna for receiving electromagnetic radiation, having a distributed resistivity of between 60 and 80 ohms and tuned to absorb incident radiation of wavelength λ. The length of the antenna is λ/2. This antenna absorbs incident energy from an effective area of approximately (λ<sup>2</sup>/8), for dipoles Whose long direction is in the direction of electric vector of the light of polarization. For ordinary light, or for polarized light incident upon randomly directed dipoles; or for ordinary unpolarized light incident upon dipoles, the effective area is λ<sup>2</sup>/16.
Thus the effective cross section of a half-wave dipole antenna is larger than its actual physical dimensions and this important effect is hereinafter applied to suspensions of dipoles.
The ratio of antenna length to diameter determines the width of the wavelength band that will interact with the antenna. The spectral interaction bands of conducting dipole particles become narrower as the length to diameter ratios increase. The interaction, of course, is for a wavelength band centered about wavelength λ.
If the antenna is relatively thick<sup>-</sup> i.e., the ratio of length to thickness is about 5 to 15, the antenna is capable of absorbing a broad band of incident energy.
If the antenna is relatively thin; i.e., the ratio of length to thickness is large, say 30 or more, the antenna is tuned to accept a narrow band of frequencies.
For the dipole shutter a relatively wide band response is usually desirable, hence dipole antenna length to thickness (L/a) ratios of between 10 and 25 should be used.
Materials with lower resistivities will result in greater L/a ratios for the dipole antenna rods, and thus, a narrower absorption band for radiation absorbed or reflected by the resistive rods.
Suspensions of dipole particles will absorb light from an area of approximately 10 to 100 times their actual cross section, when the dipole particles are arranged with their length normal to the light rays and parallel to the electric vector of the light; or 5 to 50 times their actual cross section for ordinary light incident on randomly directed dipoles.
However, when these dipole particles are oriented with their length parallel to the light rays, then it is shown hereinafter that the cross section presented to the rays is decreased by a factor of (ω<sup>2</sup>/4) or 6 to 2500 times, since 5<ω<100. Consequently, when the dipole particles are oriented normal to the plane of the shutter by the applied electric field, absorbance will equal the cross section of the dipole particles for the maximum transmitting state relative to the shutter aperture which will be between 10<sup>-1</sup> for thick particles, and 10~<sup>4</sup> for -very thin particles. When these same dipole particles are randomly oriented the absorbance will then be substantially total.
3,512,876
Utilizing needle-like conducting dipole particles, the mass concentration to exclude the light is much less than that otherwise required using solid platelets of the same thickness. (4/ω or 8% to 40% for 50>ω>10.)
Thus, for a random-normal dipolar shutter which utilizes needle-like dipole particles in the open state the absorbance is practically zero while in the closed state the absorbance is almost total. The light scattering produced by the particles is negligible since the particle diameter is less than (λ/30).
When the suspended dipole particles are good conductors, for example, comprising metal, antenna theory as ordinarily used in electronic communications can be applied. In applying this theory, light is treated as electromagnetic radiation, and the suspended partciles as discrete antenna elements. By controlling the length, thickness, resistivity, and angular position of these particles, the transmittance, absorbance, reflectivity, wavelength and polarization of the light interacting with such a dipole array can be controlled.
In considering a half-wave dipole suspended in a fluid medium the wavelength of light in the suspending medium must be used. This wavelength is inversely proportional to the index of refraction of the medium. Thus, a halfwave dipole for radiation of 5600 A. as measured in air has a length of 1867 A. in a suspending medium with an index of refraction of 1.5.
The radiation interacting with the dipole depends upon two angles; the angle between the length of the dipole and the ray path, and the angle between the length of the dipole and the direction of the electric vector of polarization of the ray.
When the direction of propagation of the incident light makes an angle of 90° with the length of the dipole, and the angle between dipole length and direction of the electric vector of polarization is 0°, interaction is at a maximum. Conversely, when the respective angles are 0° and/or 90° no dipole interaction occurs.
The resistivity of the dipole element determines whether interaction will result in absorption or reflection. When adjusted for maximum response a half-wave or λ/2 dipole is then said to become resonant to the wavelength λ. Low resistance dipoles reflect resonant radiation while dipoles having a particular high resistance absorb this radiation.
In lieu of metal dipoles needle-like suspensions of herapathite crystals may be employed.
Chemically herapathite is iodoquinone sulphate which forms needle-like crystals exhibiting strong polarizing properties.
The crystal structure is such that it forms flat elongated hexagonal needles having long dimensions approximately 10 to 25 times the width, and a thickness of about Vio the width.
The herapathite crystal contains parallel polyiodide chains within the crystal structure. The polyiodide chains permit electron transfer along the chains. These are conceived to act as conductive dipoles rigidly mounted in parallel array within the crystal structure. The herapathite crystal polarizes light primarily through the visible range and it is, therefore, probable that the polyiodide dipoles are somewhat random in length since a sharp resonance is not obtained. The polyiodide chains which constitute these dipoles are thought to be held in a polymeric cage, or clathrate crystal structure.
Thus the herapathite acts in a manner similar to groups of metallic dipoles held in parallel array and separated by an insulating structure. They exhibit properties similar to those herein set forth for isolated metal dipoles.
Other materials which produce similar polarizing effects are known to the art and may be employed in lieu of herapathite.
Because the dipoles in herapathite are in the form of aggregates, the idealized theory presented for isolated metal dipoles does not apply exactly and, therefore, the empirical approach set forth hereinafter is preferably employed.
The following idealized analysis is for isolated needlelike metal dipoles or their equivalent which have a resonant response to electromagnetic waves in the region of ultraviolet, visible and infrared light, and which are suspended in an insulating fluid.
This analysis can be modified for metal flake-like particles; and for asymmetric high index particles which are insulators, or semiconductors. The results of such similar analysis may be applied to dipolar devices without departing from the scope of this invention.
(2) Concentration of dipole particles
The concentration C or proportion by weight, of dipole particles in the liquid in which they are suspended, in terms of the number of dipole particles per unit volume, the physical dimensions of the dipole, and the densities of the dipole particle, and the suspending liquid may now be derived:
The dimensions of the edge of a cube containing a single dipole particle are:
Wj,=N-i/3
Using (1), the ratio a, or the “length d<sub>p</sub> of edge of cube containing a dipole particle” to the “length L of the dipole particle” is given by:
a=//£=l/L7V<sup>1</sup>/2(8)
The volume of dipole particle, assuming a needle of length L and square cross sections:
U<sub>p</sub>=La<sup>2</sup>(9)
The mass of this dipole particle is:
<sub>p</sub>Z.a<sup>2</sup>(10)
Assuming that the volume of the dipole particle is small compared with the volume of the liquid associated with each dipole particle, then the mass of the liquid associated with each dipole particle is:
OTl=Sl(1/2V)(11)
Then the concentration of the dipole particle is:
C=m<sub>p</sub>/(m<sub>L</sub>-|-m<sub>p</sub>) = l/[l + (7n<sub>L</sub>/m<sub>p</sub>)](12)
From (10) and (11):
(m<sub>L</sub>/m<sub>p</sub>) = (5<sub>L</sub>/5<sub>p</sub>)/NLa<sup>2</sup>(13)
Hence from (6) and (7):
1+(8ι1δ<sub>υ</sub>) (1/NLa<sup>2</sup>)(14)
But from (8):
l/NLa<sup>2</sup>—(l/NL<sup>s</sup>)(L/a)<sup>2</sup>=a<sup>3</sup>u<sup>2</sup>(15)
Hence:
1+(δι,/δρ)α<sup>3</sup>ω<sup>2</sup>(16)
If:
(5<sub>l</sub>/S<sub>p</sub>)A2<sub>>>1()(17)</sub>
Then:
C=(5<sub>p</sub>/o<sub>l</sub>)/m<sup>2</sup>o:<sup>3</sup>(18) (3) Thickness of dipole layer to achieve standard opacity
There will be some transmittance through the effective absorption area A<sub>e</sub>* of each dipole. Standard opacity is defined as this leakage transmittance. Since the leakage transmittance is not known, an arbitrary value can be assigned to it which we have taken as 0.1% transmittance or £><sub>r</sub>=3. This value may be revised subsequently from the empirical data.
3,512,876
To determine the thickness d<sub>s</sub> of a dipole layer and the mass M<sub>s</sub> of suspended dipoles per unit area to achieve standard opacity, we proceed as follows:
M<sub>s</sub>=C«<sub>L</sub>iZ<sub>s</sub> (19)
Hence the thickness <sup>d</sup><sub>s</sub> of the layer of dipole suspension is:
<Z<sub>s</sub>-M<sub>s</sub>/CS<sub>l</sub> (20)
For a dipole particle constituting an antenna of length L=x2/z, and from (10) the mass of each particle is:
Find: The thickness of dipole layer for standard opacity to ordinary unpolarized light.
Solution: Using Equation 30:
d<sub>s</sub>*=2X10<sup>3</sup> X 0.5/1.5=667^ (or 0.667 mm.) (4) Concentration of dipoles
To compute the limits of concentration the following range of the variables are used:
15>(δ<sub>ρ</sub>/δ<sub>Ι</sub>,)>1
10>α>2 (31) τη<sub>ρ</sub>=δ<sub>ρ</sub>(λ/2η)(λ/2πω)<sup>2</sup> (21) ηΐρ=δρλ<sup>3</sup>/8η<sup>3</sup>ω<sup>2</sup> (22)
The effective cross section A<sub>e</sub> of a resonant antenna in a transparent medium having an index of refraction n, for dipole antennae having their strong direction parallel to the electric vector of polarized light is:
A<sub>e</sub>=X<sup>2</sup>/8n<sup>2</sup> (23)
For resonant antennae in transparent medium haying an index of refraction n, and making random directions with respect to the electric vector of incident light, or for randomly directed dipole antennae and ordinary unpolarized light the effective cross section is:
A<sub>e</sub>*=X<sup>2</sup>/16n<sup>2</sup>(24)
Consequently, assuming no overlapping, the corresponding number of dipole particles per unit area required for standard opacity is given by:
JV<sub>s</sub>*=8n<sup>2</sup>A<sup>2</sup>(25)
7V<sub>s</sub>=16n<sup>2</sup>A<sup>2</sup>(26)
The mass of randomly directed dipole particles suspended per unit area containing dipole particles required to achieve standard opacity to ordinary unpolarized light is:
M<sub>s</sub>*=m<sub>v</sub>Nf-(27)
Putting (22) and (26) into (27):
Μ*=δ<sub>ρ</sub> [λ<sup>3</sup>/8η<sup>3</sup>ω<sup>2</sup>]. [ 16η<sup>2</sup>/λ<sup>2</sup>] =2λ<sub>ρ</sub>δ/ηω<sup>2</sup>(28 )
Putting (18) and (27) into (20):
<1<sub>5</sub>* = (2δρλ/ηω<sup>2</sup>) (α<sup>3</sup>ω<sup>2</sup>/δρ)(29) d,*=-2a3x/n(30)
Example 1
Given: α=3, ω=10, (δ<sub>ρ</sub>/δρ,) = 10, λ=0.5μ, n=1.5..
Find: (a) the concentration of dipoles corresponding to these parameters; (b) the thickness for standard opacity to ordinary unpolarized light.
Solution:
(a) Use Equation 18, and substitute given values: 6=(δ<sub>ρ</sub>/δι)/Λ<sup>3</sup>=10/10<sup>2</sup>χ3<sup>3</sup>
C=3.7X10~<sup>3</sup>; or 0.37% (b) Use Equation 30:
^<sub>s</sub>*<sub>=</sub>2x3<sup>3</sup>X0.5/1.5=18 microns, or 1.8X10<sup>-3</sup> cm.
Example 2
Same as Example 1, except ω=25.
Then:
40>ω>5
From (18), the limits of concentration are then to 15 the nearest order:
10-<sup>6</sup>>C>10-<sup>1</sup> (32) (5) Thickness of dipole suspension layer
From (30) the limits of thickness of the dipole suspen<sup>υ</sup> sion layer is:
6<iZ<sub>s</sub>*<667 microns
6X 10“<sup>4</sup> cm.<d<sub>s</sub>* <6.67 X10-<sup>2</sup> cm.
(6) Maximum and minimum transmittance
When the dipolar particles are aligned with their long directions parallel to the light beam, there is substantially no cross section presented to the light beam, and no electrical response hence the medium is substantially entirely transparent.
The number of dipole particles per unit area in a thickness d<sub>s</sub>* to achieve standard opacity to ordinary unpolarized light is bW<sub>s</sub>*. When the dipole particles are aligned parallel to the light beam the real cross section per particle is (λ/2πω)<sup>2</sup>.
The randomly directed dipole particles, which initially had a standard opacity in a thickness d<sub>s</sub>, now show a maximum transmittance when aligned parallel to the light beam and present a total real cross section:
A<sub>IZ</sub>—Nd<sub>s</sub>*(.X/2nu)<sup>2</sup> (33)
From (8):
Α=(1/αΤ)<sup>3</sup>=(2π/αλ)<sup>3</sup> (34)
Putting (30) and (34) into (33):
Α<sub>ΓΖ</sub>=(2η/αλ)<sup>3</sup>(2α<sup>3</sup>λ/η) (λ/2ηω)<sup>2</sup>=4/ω<sup>2</sup> (35)
Assuming that the dipole particle is aligned parallel to the light beam, that it is not resonant, and that the absorbance is proportional to real cross section:
!T=1—A<sub>rz</sub>=l—(4/ω<sup>2</sup>) (36)
For example, for ω<10; 7—96%.
The effective maximum cross section of the dipolar <sub>55</sub> particles when aligned for minimum transmittance (standard opacity) is unity by definition:
AM<sub>s</sub>*A<sub>e</sub>*=l (37)
Example 4 <sup>60</sup> Given: o<sub>L</sub>=l and δ<sub>Ρ</sub>=10 and the parameters of Example 2.
Find: Mass per unit area for randomly directed dipoles
M<sub>s</sub>* to attain standard opacity to ordinary unpolarized 65 <sup>Ught</sup>
Solution: Use Equation 19:
M<sub>s</sub>*=C6<sub>L</sub>d<sub>s</sub>*
C= 10\/25<sup>2</sup>χ3<sup>3</sup>= 10/27 X 625=5.93 X10<sup>-4 </sup>C=5.93X10-<sup>2</sup>%
As above: </<sub>s</sub>=18 microns, or 1.8X10~<sup>3</sup> cm.
Example 3
Given: α=10; λ=0.5μ; ri—1.5.
M<sub>S</sub>*=6X 10~<sup>4</sup>X 1.8X 10-<sup>3</sup>=l.l X10-<sup>6</sup> gms./cm.<sup>2</sup> (7) Relaxation time constant
The random motion of micron-sized particles is known as Brownian motion. Brownian motion is due to random molecular impacts, which is a manifestation of thermal 75 energy, and which is proportional to temperature.
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The Brownian motion randomly disorients previously oriented dipole particles, which is herein termed “relaxation.” Starting with dipole particles aligned normal to the shutter plane in a state of maximum transmittance, the transmittance decreases asymptotically toward minimum transmittance in the random state. For a dipole suspension initially oriented by a field in the Z direction, and relaxing for a time t, the resulting instantaneous extinction factor is the sum of the random extinction factor e<sub>r</sub> of a proportion x of the dipoles in the randomly oriented state, and of the initial absorption factor e'<sub>rz</sub>, of a proportion (1—x) of the dipoles.
The proportion of randomly oriented dipoles increases exponentially with time; that is x-»l. The exponential time constant is r<sub>r</sub>. It follows therefore that:
T==T<sub>t</sub>(TIT<sub>i</sub>y~'<sup>jT</sup>‘ (38)
An equation for the relaxation time constant, τ<sub>Γ</sub>, of elongated colloidal particles in a liquid suspension may be written as follows:
(39)
The electrical forces on the dipolar particle are much greater than the forces caused by random molecular impacts due to thermal energy. Hence the alignment time of dipoles in a strong electric field is very much shorter than the time required to disorient these particles by Brownian motion.
A reduction of the dipole length, L, decreases the time for alignment or disalignment by a factor proportional to L<sup>3</sup>. The smaller the viscosity of the fluid, the shorter the time required to align or dealign.
As an example, with electric field strength of the order of 2χ10<sup>4</sup> volts/mm., and for herapathite dipole particles of length approximately 1 micron and of width 0.1 micron, in a solution having a viscosity of about 5χ10~<sup>3 </sup>newtons/m.<sup>* 2</sup>-sec. (or 5 centipoise), an alignment rise time of t=10~<sup>5</sup> seconds was obtained; while the relaxation time constant, r<sub>r</sub>, was of the order of 10<sup>-1</sup> seconds.
A dipole layer having small spacing between electrodes, of the order of 10~<sup>3</sup> cm. (10μ) electric field strengths of the order of 2χ 10<sup>4</sup> volts per mm. may be obtained using only 200 volts between faces.
Summarizing the data for relaxation in zero electric field:
Ar= 1.38 joules/<sup>0</sup> K.
0=300° K.
i)=5x 10~<sup>3</sup> newtons/m.<sup>2</sup>-sec. (20 centipoise) Tr=10<sup>-1</sup>sec.
L=2x 10<sup>-6</sup> m. (2 microns)
These may be computed from this data, using Equation 37, a value for Α<sub>Γ</sub>=Ο.83χ10<sup>20</sup> in the m.k.s. unit system.
(11) ELECTRODICHROIC RELATIONSHIPS (1) The electrodichroic ratio
The random-normal electrodichroic ratio is hereinafter defined for a dipole shutter which has a minimum (closed) transmittance when the dipole particles have a random orientation, and a maximum (open) transmittance when the dipole particles are oriented parallel to the light path which is normal to the plane of the shutter. In the absence of electric field the dipole particles are oriented at random. As the applied electric field strength is increased from zero, the dipole particles become aligned parallel to the field.
Beer’s law may be utilized for the closed shutter:
7-<sub>r=e</sub>-<<sub>t</sub>M (40)
Beer’s law may be again utilized for the open shutter:
Tz=e—<sup>M</sup> (41)
In (40) and (41), M is given by Equation 19.
Using the definition of optical density we may convert Expressions 40 and 41 as follows:
D<sub>r</sub>=log<sub>10</sub>(l/T<sub>r</sub>) = (log<sub>10</sub>e) -<sub>er</sub>M=0.434e<sub>r</sub>M (42)
D<sub>z</sub>=log<sub>10</sub> (1/T<sub>Z</sub>) = (log<sub>10</sub>e) e<sub>z</sub>M=0.434e<sub>z</sub>M (43)
The electrodichroic ratio q<sub>IZ</sub> is a measure of the shutter effectiveness. By definition, and from (42) and (43), the random-normal electrodichroic ratio may be computed as follows:
9rz=er/<sup>e</sup>i=-Dr/D<sub>z</sub> (44)
In a similar manner, other electrodichroic ratios have been defined in the Table of Symbols.
The significance of the electrodichroic ratio data will be clear from the following discussion.
As an example, the electrodichroic ratio will be calculated for the following shutter performance:
Transmittance Optical density
Opaque state_______________________Ti<0.1% Di>3
Transparent state__________________Tj>60% Dz<0.22
The electrodichroic ratio then must exceed:
aio>D,/ D'2 >3/0.22>13.6
FIG. 48 shows maximum transmittance versus the electrodichroic ratio for constant minimum transmittance of 0.01%, and 1%.
With any given electrodichroic ratio the minimum transmittance is shown for the 3 values: 0.01%, 0.1% and the corresponding maximum transmittance may be read off directly.
For example, with an electrodichroic ratio ^== 15, and 0.1% minimum transmittance, the corresponding maximum transmittance is 63%.
It has previously been shown that for ideal dipoles:
7=96% D<sub>z</sub>=0.02
T<sub>r</sub>=0.1% D<sub>r</sub>=3 <sub>?rz</sub>=D<sub>r</sub>/D<sub>z</sub>= 3/0.02= 150
In practice the minimum and maximum transmittance must be determined empirically. A T of 63% or more with a T<sub>r</sub> of 0.1%; or 7+=0.2, and D<sub>z</sub>—3 respectively, results in a q<sub>rz</sub>=15 which gives highly satisfactory results for most applications, such as electrodichroic photographic shutters or variable density windows.
Thus, for an extremely small dipole particle mass per unit area, about one microgram/cm.<sup>2</sup>, a transmittance of about 96% for the aligned state, and approximately 0.1%) transmittance for the disaligned state, is theoretically possible; while the corresponding transmittances of 63% or more and 0.1%, which are readily attainable as described herein, are usually adequate for most practical applications.
(2) The electrodichroic Sensitivity
Electrodichroic Sensitivity, as hereinafter defined, is useful as a Figure of Merit for comparing the response effectiveness of various electrodichroic systenis.
The random-normal Electrodichroic Sensitivity is defined as:
S<sub>rxx</sub>=(l/M)(AD<sub>xx</sub>/AE<sub>x</sub>) (45)
The random-parallel Electrodichroic Sensitivity may be similarly defined:
5<sub>γζ</sub>=(1/Μ)(ΔΗ<sub>ζ</sub>/ΔΕ<sub>ζ</sub>) (46)
The random-parallel Electrodichroic Sensitivity from Equation 46 may be expressed in a more convenient form in terms of the slope of the curve of the electrodichroic ratio versus the electric field intensity <r<sub>rz</sub>, the mass/unit area M, and the random optical density D<sub>r</sub>.
In Equation 44 differentiate D<sub>z</sub>:
AD<sub>z</sub>=-(D<sub>r</sub>/<sub>fe</sub><sup>2</sup>)A<sub>?rz</sub> (47)
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For E<sub>z</sub>-^0, q<sub>rz</sub>->l. Substitute Equation 47 into Equation 46, and put σ<sub>ΓΖ</sub>=(Δ^<sub>ΓΖ</sub>/ΔΕ<sub>ζ</sub>). A new and useful expression for the random-parallel Electrodichroic Sensitivity is then obtained:
5<sub>rz</sub>=(D<sub>r</sub>/M)a<sub>rz</sub> (48) 5
Similarly, the random-normal Electrodichroic Sensitivity may be expressed as:
(49)
The random-normal Electrodichroic Sensitivity as defined in (45) may also be expressed in terms of the change in transmittance with the electric field intensity.
By the definition of Optical Density, and converting log<sub>10</sub> to· the natural log:25
D=log<sub>10</sub> (1/7)=0.4343 In (1/T)(50)
Differentiating D in Equation 50:
ΔΗ=0.4343 ΔΤ<sub>ΧΧ</sub>/Τ<sub>ΧΧ</sub>(51)
Substituting result (51) into Equation 45:
5<sub>rx</sub>^=[0.434/MT<sub>r</sub>](dT<sub>xx</sub>/dE<sub>x</sub>)(52)
In a similar manner the random-parallel sensitivity may be expressed:25
5<sub>rz</sub>=(D<sub>r</sub>/M)<z<sub>rz</sub>(53) and
5<sub>rz</sub>=(0.434/M7<sub>r</sub>)(dT<sub>z</sub>/dE<sub>z</sub>)(54)
The Electrodichroic Sensitivity is herein expressed in units of change in Optical Density per volt-gms./cm.<sup>3</sup>.
(3) Dimension ratios and the resistivity of materials
If p is the resistivity of a conductor, then the resistance R of a conductor of length L and cross-sectional area A is· /1 lb.
R=p(L/A)(55)
Substituting in (46) the length of a half-wave dipole in a suspending medium, and assuming the dipole to have a square cross-sectional area:40
Κ=ρ(λ/2η)/(λ/2«ω)<sup>2</sup>=2«/>ω<sup>2</sup>/λ(56)
Solving (47) for w:
u=\/R\/2np(57)
Utilizing the known resistivities of metals which are <sup>40 </sup>shown in Table I, the length to width ratio ω of absorbing and reflecting dipoles were calculated using Equation 57. These calculations are summarized in Table II which set forth the length to width ratios ω for absorbing and re- <sub>5</sub>θ fleeting dipoles utilizing specified metals.
In constructing Table II the ideal absorbing dipole was assumed to have a distributed resistance R of about 80 ohms and the ideal reflecting dipole is assumed to have a distributed resistance R of 8 ohms. Values of 1.5 <sub>rr </sub>for n and 0.5 micron for λ were used.
TABLE I.—RESISTIVITIES OF METALS
Element: Resistivity<sup>1</sup>
Aluminum______________________________
Antimony ______________________________
Cadmium ____________________________—
Chromium _____________________________
Copper ________________________________
Gold __________________________________
Indium ________________________________
Iron ___________________________________
Lead __________________________________
Palladium ______________________________
Silver _________________________________
Tantalum ______________________________
Thallium ______________________________
Titanium _______________________________
Zinc __________________________________ pXlO-o ohm-cm. at 20° C. 75
<td> 39.0</td><td> 60</td>
<td> 7.5 2.6 1.69 2.4</td><td></td>
<td> 9.0 10.0 21.9 10.8 1.62</td><td> 65</td>
<td> 13.1 18.1 3.0 6.0</td><td> 70</td>
TABLE 11,—LENGTH TO WIDTH RATIOS (ω) OF METALLIC DIPOLES (ω) Absorbing (ω) Reflecting Dipole Dipole
Metal: Aluminum.......................
Antimony.................-......
Cadmium.-..................—
Chromium.......................
Copper.........................
Gold............................
Indium--------------------------Iron______________________________
Lead........... -......
Palladium............-...........
Silver.............................
Tantalum........................
Thallium.........................
Titanium...................-.....
Zinc..................-...........
23.97.6
6.22.0
14.24.5
24.17.6
29.29.5
25.17.0
12.94.1
12.33.9
8.32.6
11.83.7
30.59.6
10.73.4
9.12.9
22.47.1
15.95.0 (4) Empirical electrodichroic equations (a) Random-normal effect.—This derivation is for the equilibrium condition in which a particular electric field strength has been applied and the transmittance has reached a maximum value for this electric field strength. The alignment of the dipole particles is opposed by forces due to the viscosity and Brownian motion of the suspending liquid.
Tests were made starting with the random transmittance with zero electric field. In this series of tests the electric field was applied normal to the light path, and transmittances were obtained versus applied electric field intensity. For these tests a Herapathite suspension in di-iso-octyl adipate (viscosity of 17.7 cp. at 20° C.) was used. The concentrations of the Herapathite dipoles in the suspending fluid were: C=0.00277 and 0.00692, and the thicknesses of the layer of the dipole suspension were 0.0126, 0.0186, 0.0484 and 0.0816 cm. (126/4 to 816/t).
The observations plotted as the curve in FIG. 29 suggested the exponential relationship:
(?<sub>m</sub>-l) = (s'rxx-l)(l-e-<sup>KE</sup>‘) (58) where <&xx<sup>=e</sup>r/(59)
To obtain the initial slope σ<sub>ΓΧΧ</sub> of the curve q<sub>rxx</sub> versus E<sub>x</sub> according to Equation 58 differentiate with respect to E<sub>x</sub>, and set E<sub>x</sub>=0, obtaining:
<r<sub>r</sub>xx<sup>=</sup> (dg<sub>rxx</sub>/dH<sub>x</sub>)B<sub>x</sub>7=o<sup>==</sup>-K(5 rxx 1) (60)
Using Beer’s law, the transmittance T is related to the exponential factor e<sub>xx</sub> and to the electrodichroic ratio q<sub>rxx </sub>both of which are functions of the electric field applied normal to the light path. Thus:
Trxx=e~<sup>Mi</sup>«=e-<sup>Me</sup>'<sup>/<lr</sup>” (61)
For E<sub>x</sub>=0; e<sub>xx</sub>=e<sub>r</sub>, T=T<sub>r</sub> and q<sub>rxx</sub>=l, and Equation 61 becomes:
T<sub>r</sub>=<sub>e</sub>-M<sub>ir</sub> (62)
Combining Equations 58 and 59 and solving for e<sub>xx</sub> as a function of E<sub>x</sub>, there is obtained:
€xx=e,/ {1+[ (e<sub>r</sub>/e'xx) -1][ 1 - e-^J} (63)
From (61) and (63) an empirical expression for the transmittance T<sub>rxx</sub> as a function of E<sub>x</sub> may be obtained:
J’<sub>r</sub>xx=<sub>e</sub>-M.,<sup>/</sup>{l+[<sup>(</sup>e<sub>t</sub><sup>/</sup>[l-e-<sup>KE</sup>*]) (64)
From (61) and (62) there is obtained:
T<sub>m</sub>=TN^ (65)
From (58) and (60):
?<sub>Γ</sub>χχ=[1 + («·<sub>Γ</sub>χχ/Κ)(1-<sub>β</sub>-^)] (66)
Hence from (55) and (66) there is obtained a useful empirical formula which does not involve M:
7’=2<sup>4 * * 7</sup><sub>γ</sub>ι/[ι+(’γχχ/®(ι-<,-<sup>ΚΕχ</sup>)1 (67)
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The random exponential factor e<sub>r</sub> for zero electric field (E<sub>x</sub>=0) may be computed from Equation 62:
e<sub>r</sub>=ln(l/T<sub>r</sub>)/M (68)
Example 5
Given: C=5x<sup>,</sup>10<sup>-3</sup> parts of dipole particles suspending fluid by weight; SL=0.928 gm./cm.<sup>3</sup> (density of di-isooctyl adipate); </=2χ10<sup>-2</sup> cm. or (0.2 mm.); Tr=0.04 (4%) or D<sub>r</sub>=1.40.
Find: e<sub>r</sub>, e <sub>xx</sub>.
Solution:
Me<sub>r</sub>=ln(l<sub>r</sub>/T<sub>r</sub>) = ln 25=3.22
M=Cd8<sub>v</sub>=5x 10-<sup>3</sup>χ2χ 10-<sup>2</sup>X0.928
M=0.93 X 10~<sup>4</sup> gm./cm.<sup>2</sup> of dipole particles e<sub>r</sub>=ln 25/0.90X10^ e<sub>r</sub>=3.46xl0<sup>4</sup> (gms./cm.<sup>2</sup>)<sup>-1</sup>
The curve through the experimental points in FIG. 29 was computed from the empirical Equation 58 using the assymptotic value for <?'<sub>ΓΧ</sub>χ=10.
From Equation 59:
e'xx=®r/?'rxx=3-46X 104/10 =3.46X10<sup>3</sup> (gms./cm.<sup>2</sup>)<sup>-1</sup> (69)
Using ?'rxx=10 and Equation 60<sup>1</sup> there results:
£=3.33 X10<sup>-4</sup> (volts/cm.)<sup>-1</sup> (70)
Putting these values into Equation 64 there is obtained:
J’<sub>txI</sub> = <sub>e</sub>-3.22/[l+9(l-e“<sup>3</sup>-<sup>33!<1(,</sup>~<sup>4B</sup>n] (71)
Also, putting the same values in Equation 67:
T= TE U+»d- <sup>e</sup>“ <sup>3</sup>-<sup>33xl<r 4e</sup>«)i (72)
Example 6
Find: The random-normal Electrodichroic Sensitivity S<sub>rxx</sub> for <sup>an</sup> herapathite dipole suspension given the following data, from Example 5:
D<sub>r</sub>=1.40
Μ<sub>5</sub>=0.90χ10γ<sup>4</sup> gms./cm.<sup>2</sup> of herapathite dipole particles
Q Γχχ<sup>=</sup>1θ £=3.33 X10<sup>-4</sup> (volts/cm.)<sup>-1</sup>
Solution: From (70):
σ<sub>ΓΧΧ</sub>=(10—1)(3.33 X 10~<sup>4</sup>) σ<sub>ΓΧΧ</sub>=3χ10<sup>-3</sup> (volts/cm.<sup>2</sup>)<sup>-1</sup>
Use this data in Equation 53:
S<sub>IXX</sub>= (1.40/0.93 X 10-<sup>4</sup>)3 χ 10<sup>-3</sup>
5<sub>rxx</sub>=45 (volts-gms./cm.<sup>3</sup>)<sup>-1</sup> (b) Random-parallel effect.—The herapathite suspension described in Example 1 was placed in a cell between transparent electrodes which directly contacted the suspension. The suspension had the following characteristics:
The suspension viscosity was 96 cs. The elongated herapathite crystals were of various lengths from 0.1 to 2μ. The concentration of herapathite dipoles was approximately 0.002, and the layer thickness was 0.070 cm. The suspension was uniform and appeared blue-black by transmitted light. The initial transmittance was about 1% in the random state.
A square 1 millisecond D.C. pulse having a one microsecond rise time was applied. FIG. 31 shows actual curves of transmittance versus time for these pulses. The peak voltage of the pulse was varied from 3,000 to 7,000 volts across the transparent conductive castings. This produced an electric field intensity which varied from 40 to 100 kilovolts/cm. Electric field intensities greater than 100 kv./cm. caused electric spark breakdown through the suspension layer.
With moderate electric field intensities of long duration, dipole suspensions tend to coagulate, and this has limited the electrodichroic ratio attainable. However, I have found that a much greater electrodichroic ratio and a much smaller alignment time is obtained using a short duration pulse of almost maximum electric field intensity, and the coagulation is eliminated or reduced. The maximum electric field intensity is limited by the electric breakdown strength of the dipole suspension layer, which is of the order of 100 kv./cm. Using this principle the herapathite dipole suspension of Example 1 achieved an electrodichroic ratio q<sub>tz</sub> of about 13 and an alignment time r of about 16 /tsec., and could be pulsed repeatedly without coagulation.
Comparing a dipole suspension having a viscosity of 1 c.s., a concentration of 2%, and a dipole length of 0.2μ to the herapathite suspension of Example 1, the viscosity is reduced by a factor of 100, the concentration increased by a factor of 10, and the dipole length decreased by a factor of 5. The alignment time may be calculated for such a dipole suspension, thus:
16/1Οχ1ΟΟχ5<sup>3</sup>=Ο.13χ1Ο-<sup>3</sup><sub>M</sub>sec.
or of the order of 0.2 nanosecond.
TABLE III.—PULSE TESTS ON A HERAPATHITE DIPOLE SUSPENSION OPERATING IN THE RANDOM-PARALLEL MODE
[Initial Transmittance=1% or Optical Density=2]
Transmittance
Peak
Volts/cm. TransE volts: X10 3 mittance Density
<td> 3,500..............</td><td> ........ 50.0</td><td> 58</td><td> 0.237</td><td> 8.45</td>
<td> 5,000..............</td><td> -------- 71.5</td><td> 65</td><td> 0.187</td><td> 10.70</td>
<td> 6,000..............</td><td> ........ 85.7</td><td> 65</td><td> 0.187</td><td> 10.70</td>
<td> 6,500_______________</td><td> ________ 92.8</td><td> 67</td><td> 0.174</td><td> 11.49</td>
<td> 7,000..............</td><td> 100.0</td><td> 69</td><td> 0.161</td><td> 12.40</td>
The tests are summarized in Table III from the curves shown in FIG. 31. The tests were performed at constant viscosity and constant concentration.
An analysis of the curves shown in FIG. 31 shows that the data may be represented by the following equation:
(73)
FIG. 32 shows the random-parallel electrodichroic ratio q<sub>TZ</sub> versus the electric field intensity E<sub>z</sub> plotted from the data of Table III. FIG. 32 shows that the randomparallel electrodichroic ratio is approximately linear with electric field intensity up to a maximum electrodichroic ratio of about 13, before reaching an electrical field strength sufficiently great to cause spark breakdown through the suspension. The slope σ<sub>ΓΖ</sub>=0.13 (kv./cm.)<sup>-1</sup>.
In FIG. 33 there is shown the peak transmittance versus the electric field intensity for the same data.
FIG. 33 shows that the maximum transmittance T of the tests shown in FIG. 31 is a function of the applied electrical field intensity E<sub>z</sub>- The maximum transmittance T and the rise time τ are also functions of the viscosity and concentration.
In FIG. 34 there is shown the inverse rise time τ versus electric field intensity E<sub>z</sub> for the same data.
FIG. 35 shows transmittance versus time for £,=20, 40, 60, 80, 100 kv./cm., utilizing in Equation 73 the value of T and τ versus E<sub>z</sub> determined from the original data.
The electrodichroic sensitivity is also a function of the viscosity of the suspending fluid and a function of the dipole concentration. In general, the smaller the viscosity the greater the electrodichroic sensitivity, and the greater the concentration, the greater the sensitivity. If linear, these relationships may be expressed in terms of an inherent or standard sensitivity S<sub>o</sub>, as follows:
S=(C/„)S<sub>0</sub> (74)
3,5:
Equation 58 has been empirically shown to apply to the random-normal effect. FIG. 36 shows that the operating portion of the <7<sub>rz</sub>—E<sub>z</sub> curve is linear. Equation 58 applies to the random-parallel effect under the condition that:
q'<sub>rz</sub>>l when KE<sub>Z</sub><1 (75)
Equation 58 then reduces to:
qr<sub>Z</sub>—l-|-q’rz-XD<sub>z</sub>=14-<r<sub>rz</sub>E<sub>z</sub> (76)
Although each of the terms q'<sub>rz</sub> and K are individually unknown, the factor a<sub>rz</sub>=q'<sub>rz</sub>K may be computed from the slope of the q<sub>rz</sub> versus E<sub>z</sub> curve. Accordingly, the Equation 76 is a special case of Equation 58 which represents the data for both the random-normal and the random-parallel modes.
An equation for the transmittance as a function of the electric field intensity may then be derived:
p—g—Μί,/Qr,(77)
Substituting Equation 76 into 77:
2’=<sub>e</sub>-M<<sub>t</sub>/(l+a,<sub>I</sub>E<sub>I</sub>)(78) or ψ<sub>=</sub>Γ<sub>ρ</sub>ι/(ΐ+<τ„Β«)(79)
The relationship between the optical density and electric field intensity is then:
2J=D<sub>r</sub>/(l+a<sub>rz</sub>E<sub>z</sub>)(80)
The characteristic rise time τ is also a function of the electric field intensity and may be represented by:
T=l/bE<sub>z</sub>(81)
The Equation 73 leads to a surprising and. unexpected insight into the actual alignment process, as will be understood from the following discussion. The applied electric field induces opposite charges on each end of the dipole. The opposite induced electrical charges on the neighboring ends of the particles produces torques tending to align the particles in the direction of the electric field. It might be thought that when the electrical field is applied, all the dipolar particles which are randomly directed, start to align simultaneously at a rate determined only by their initial direction. However, this does not appear to. be the case. Instead, those particles which are in sufficient proximity to influence each other exert the greatest torque. This results in torques tending to align only the most closely proximate particles first, leaving the remaining dipoles of the suspenson almost randomly directed. Another group of the most closely proximate particles then align and the process then continues until all the dipoles are aligned. Thus the alignment principle may be set <sup>fOrth:</sup> . -11Groups of the most closely proximate particles align first, leaving the remaining particles more or less random in direction· The number of particles aligning per unit, of time is proportional to the remaining number of randomized particles. This may be expressed:
(dp/dt)--=-O/r)p (82)
Where τ is a constant under given conditions, known as the characteristic rise time.
Since p=0 when /=0, there is obtained upon integration:
p=e<sup>-t/T</sup> (83)
The Equation 73 follows from the alignment principle set forth above as may be seen from the following:
The combined absorption factor of a layer of suspension of which a proportion p of particles is aligned and .2,876 a proportion of the particles (1— p) is in the random state may be expressed as:
e<sub>z</sub>p+e<sub>r</sub>(l—p)=e<sub>r</sub>+(e<sub>z</sub>—e<sub>r</sub>)p(84)
Use of the combined extinction factor (84) in Beer’s ® law determines the transmittance:
y<sub>==e</sub>-M[e<sub>r</sub>+(e<sub>a</sub>-<<sub>r</sub>)p](85)
Substituting (83) into (85):
jq J<sup>7</sup> — g—M[er-r(e<sup>z</sup>z—er)e—t/r(86)
However, the minimum transmittance T<sub>r</sub> is given by:
T<sub>r</sub>=e-M.r(87)
The maximum transmittance T is given by:
(88)
Equation 73 is then derived by substituting (87) and (88) into (86).
To compute r from the experimental data of FIG. 35 <sup>2</sup>θ first express the Equation 73 in terms of the optical densities.
log<sub>10</sub>(l/T)-log<sub>10</sub>(l/T) = [log<sub>10</sub>(l/T<sub>r</sub>)-log<sub>10</sub>(l/!T)]e-‘/’· (89) <sup>23</sup> Equation 89 may be expressed in terms of the corresponding optical densities:
(2>-π) = (Ζ><sub>Γ</sub>—TDe-Vr (90)
Taking the log<sub>10</sub> of Equation 90, there is finally ob<sup>30</sup> tained:
logio[U—)/ (D-D) ] = (0.434/t)t=K<sub>o</sub>t (91)
Using linear graph paper, the log<sub>10</sub> of the expression [(D<sub>r</sub>—D)/(D—77)] may be plotted versus the linear time r. The slope of this line is then K<sub>o</sub>, and the characteristic rise time τ may then be calculated by:
t=0.434/K<sub>o</sub> (92)
A plot of the values thus computed for inverse τ versus electric field intensity E<sub>z</sub> is shown in FIG. 34. The straight line obtained confirms the empirical Equation 81 and evaluates 6=6.25χ10<sup>-4</sup> (kv^/zsec./cm.)<sup>1</sup>.
Substituting Equations 78 and 81 into Equation 73 and <sub>45</sub> simplifying, there is obtained:
T = r<sub>r</sub>[(l+<'r,e~<sup>bE</sup>‘‘‘)/(l+<r<sub>ta</sub>E<sub>i</sub>)l(93)
Using the values of σ<sub>ΓΖ</sub> and b evaluated for this particular suspension, Equation 93 becomes:
50.
^=7^((1+0-130<sup>-6</sup>^<sup>10 Elt</sup>)/(l+0.13E,)](94)
Equation 94 summarizes the data shown in FIG. 35 for constant viscosity and constant concentration. However, the slope <r<sub>rz</sub> and the characteristic rise time τ are <sup>33</sup> functions of the viscosity and concentration. In general, if these relationships are linear,the slope σΓΖ increases directly with the concentration and inversely with the viscosity; while the characteristic rise time τ increases directly with the viscosity and inversely with the concentration. <sup>60</sup> By definition the electrodichroic response is the same as the slope of the curve for electrodichroic ratio versus electric field intensity. Thus the random-parallel electrodichroic response is σΓΖ.
Example 7
Find: The random-parallel electrodichroic sensitivity for the data given in Table III:
D<sub>r</sub>=2
Solution: Utilize Equation 49:
(9-1)/60 X 10<sup>3</sup>=1.14x 10-<sup>1</sup> (volts/cm.)<sup>-1 </sup>Μ*=ΟδΕ=2χ10-<sup>3</sup>χ0.94χ7.5χ10-<sup>2</sup>=1.4χΊ0<sup>-4 </sup>gms./cm.<sup>2</sup>
S<sub>rz</sub>= (2/1.4χ10<sup>-4</sup>)1.33 X 10-4=1.63 (volts-gms./cm.<sup>3</sup>)<sup>-1</sup>
3,512,876
Comparing the herapathite suspension referred to above the computed random-normal sensitivity S<sub>rxx</sub>=45 (volts-gms./cm.<sup>3</sup>)<sup>-1</sup>, is small relative to the random-parallel electrodichroic sensitivity 5rx=1.63 (vol-gms./ cm.<sup>3</sup>)-<sup>1</sup>. This is due in part to the viscosity in Example 7 being greater than that in Example 6 by a factor of about 5. Applying this correction, Srz=10, and then S<sub>rz</sub> and S<sub>rxx </sub>agree as to order of magnitude. However, they do differ by a factor of about 4.5. This may be explained by:
(1) The relationships are not linear.
'(2) The two suspensions differed in particle size.
(3) The electric polarization alignment effect may be greater in the random-normal case than in the randomparallel case.
Nevertheless a readily available applied pulse of about 6500 volts enables a large and useful electrodichroic ratio q<sub>tz</sub> of approximately 13 to be achieved.
Example 8
Find: For gold particles, the mass per unit area required for absorbing dipole particles to attain standard opacity with ordinary unpolarized light in a suspending fluid where the index of refraction w=1.5.
Given: λ=5.56χ 10<sup>-5</sup> cm.; o<sub>p</sub>=19 gms./cm.<sup>2</sup> density of gold.
Solution: From Table II:
ω=25
Using Equation 28:
M*<sub>s</sub>=25<sub>p</sub>X/nw<sup>2</sup> _
Μ%=2χ19χ5.65χ10<sup>-5</sup>/1.5χ25<sup>2 </sup>M*<sub>s</sub>=2.28xl0<sup>-6</sup> gms./cm.<sup>2</sup>
Example 9
Find: The length to width ratio ω for an aluminum dipole suspended in a fluid having an index of refraction n=1.5 for: (a) Resonant absorption at 5650 A. (X=5.65 X10<sup>-5</sup> cm.); (b) Resonant reflection at 5650 A.
Solution: From Equation 47:
w=[RX/2/jp]<sup>1/2</sup>
From the data in Table I:
ρ=2.62χ10<sup>-</sup>« ohm-cm. resistivity
In (a) put R=80 ohms __
In (b) put R=8 ohms which causes ω to decrease by \/1θ (a) «= (80 X 5.65 X10-5/2X 1.5 χ 2.62 χ 10~«)<sup>172</sup> ω=24 (b) _ w=24/V10 ω=7.6
Example 10
Find: For an aluminum dipole suspension in silicone oil having a viscosity of 10 cs. in a cell operating in the random-parallel mode:
(a) Concentration (b) Mass per unit area (c) Layer thickness for standard opacity (d) Random-parallel sensitivity
Given:
»=10
3<sub>p</sub>=2.70 gms./cm.<sup>3</sup> density of aluminum
8<sub>l</sub>=0.96 gms./cm.<sup>3</sup> density silicone oil (^ 10 cs. viscosity) σ<sub>ΓΖ</sub>=16χ1Ο<sup>-3</sup> (volt/om.)<sup>-1</sup>—best value from FIG. 36 for ultrathin flakes.
The standard opacity will be taken herein arbitrarily as equivalent to Density 3 or a minimum transmittance of 0.1%.
D<sub>r</sub>=3
Solution:
(a) The proportion by weight of aluminum dipole particles in the suspension may be calculated from Equation 18:
C= (2.70/0.96) / (24<sup>2</sup> χ Ϊ0<sup>3</sup>) =0.49 X 10<sup>-5</sup> (b) From Equation 28 the mass per unit area of dipole particles for standard opacity is:
M*<sub>S</sub>=2X2.7OX5.65X 10^5/1.5 X24<sup>2</sup>
M*s=O.354x 10~« gms./cm.<sup>2</sup> (c) From Equation 30 the layer thickness for standard opacity is:
<Ζ*<sub>ε</sub>=2χΐ0<sup>3</sup>χ5.65χ10-«/1.5=7.6χ10-<sup>2</sup> cm.=0.76 mm.
(d) The random-parallel sensitivity may be computed from:
5<sub>Γ2</sub>=σ<sub>Γ2</sub>Ρ<sub>Γ</sub>/Μ<sub>8</sub>= 16 X10-<sup>3</sup> X 3/0.35 X10“«
S<sub>rz</sub>= 1.5x10« volt-gms./cm.<sup>3</sup>
FIG. 36 shows the results of tests for the random-parallel electrodichroic ratio q<sub>IZ</sub> versus the electric field intensity E<sub>z</sub> for aluminum flake suspensions in silicone oil. The curves Bl and B2 are for the same data, but to scales of 1 and 10 times respectively for an aluminum flake suspension prepared according to Example B. Observation C was taken with an ultrathin flake suspension prepared according to Example C. Comparing FIG. 36 with FIGS. 30 and 32 for the needle-like herapathite dipole suspension, the test results reduced to a unit viscosity, show that the random-parallel electrodichroic sensitivity of the aluminum flake suspension of Example B is S<sub>rz</sub>=7 (voltgms./cm.<sup>3</sup>)<sup>-1</sup>, while the random-parallel electrodichroic sensitivity of the herapathite dipole particle suspension of Example A is S<sub>rz</sub>=192 (volt-gms./cm.<sup>3</sup>)<sup>-1</sup>. Thus this herapathite suspension is about 28 times more sensitive than the aluminum flake suspension; that is for a given viscosity, a smaller mass per unit area of herapathite dipole particles than the aluminum flake suspension in the light path has a greater effect on the change in optical density at a given electric field intensity.
On the other hand the electrodichroic response <r<sub>rz</sub> of the aluminum flake suspension was 9.4 (kv./cm.)<sup>-1</sup> at a viscosity of 23 cs. compared to herapathite suspension 0.13 (kv./cm.)<sup>-1</sup>, at a viscosity of 96 cs. Reduced to a unit viscosity the corresponding values were 216 and 12.5 respectively, or a factor of 17.3 times in favor of the aluminum flake suspension.
The electrodichroic response determines the utility of the dipole particle suspension and is independent of the thickness or mass per unit area of the dipole particles. On the other hand, the electrodichroic sensitivity is a figure of merit for dipole particle suspensions which includes the electrodichroic response, and the maximum density per unit of mass in the light path.
Curve B was plotted on a semi-log linear scale shown on •FIG. 37 and a straight line obtained. This indicates that the relationship between the random parallel electrodichroic ratio q<sub>rz</sub> and the electric field intensity E<sub>z</sub> is given by the following equation:
g<sub>r</sub>z=e<sup>tE</sup>’ (95)
It will thus be observed that the empirical laws describing the random-parallel electrodichroic ratio q<sub>IZ</sub> versus the electric field intensity E<sub>z</sub> appear to be different for aluminum flakes compared to herapathite needles. However, the analytical principles shown herein may be modified to cover this case as well as other possible cases and still fall within the scope of the invention.
3,512,876 (III) ELECTRICAL EFFECTS (1) Variation of capacitance with dipole particle alignment
It has been observed that the electric capacity of the dipolar shutter increases with an increase in the concentration of dipolar material, and increases with the alignment of dipole particles reaching a maximum for dipole particles oriented in the Z direction which is normal to the shutter plane.
Similar effects are known in connection with the augmentation of the capacitance in dipolar dielectrics, as illustrated by the well known formula:
F=eoE+P (96)
With dipole particle suspensions the electric polarization P increases with the dipole concentration C and with the orientation of the dipolar particles parallel to the electric field intensity E<sub>z</sub>. The electric polarization P is expressible as the volume density of electric moment due to oriented dipole particles. According to Formula 96, F, the electric induction of electric flux density through the layer of dipole particles, increases with P.
A step voltage applied to a dipolar particle suspension causes the capacitance of the dipole shutter to increase with time; reaching a maximum capacitance as the particles align parallel to the electric field.
This phenomenon has many uses in electric control circuits; for example, as a simple time delay device; variable frequency source, etc.
(2) Ionic shielding effect
In addition to the dipoles there is usually present in the suspending fluid ions which migrate under the influence of the electrical field. These ions are present in large quantity in a highly conducting fluid and in very low concentration in fluids having low conductivity. However, even a small concentration of ions will show substantial shielding effects which tend to neutralize the field available for orienting the dipoles. As an example, the alignment observed with a herapathite dipole suspension between glass with an A.C. voltage is very much better than with a D.C. voltage.
A very low viscosity herapathite suspension was prepared having the composition given in Example 5.
When a high D.C. field is applied, via electrodes in air momentary light pulse is observed, and then the suspension opaques again. It has been observed that in a D.C. field, ions migrate and gather nearest the faces of the glass and eventually neutralize the field.
However, with an applied A.C. voltage the ions oscillate. The applied field is not neutralized and then dipole particles align. The phenomena of temporary alignment of the dipoles will not occur with transparent conductors which are in contact with the dipole suspension layer.
The dipole suspension agglomerates to a greater extent with a D.C. field.
A test was made using a dipole cell with transparent conductive coatings, separated by two thick glass covers 0.030 cm.
The herapathite suspension layer of Example 5 was about 0.07 cm. thick and had an initial transmittance of about 4%. On applying a 10 kv. D.C. pulse, the transmittance increased only to 20% (c?<sub>rz</sub>=2).
The applied voltage was reduced to about 5500· volts or less across the suspension because of the glass layers, but this does not wholly account for these small values of q. It is probable that the migration of ions partially shielded the field.
An applied 10 kv. 60 cycle A.C. field increased the transmittance from 0.1 to 10% (a<sub>rz</sub>=3+).
One method of obviating the ionic shielding effect is through the use of transparent conductive coatings in direct contact with the dipole suspension. D.C. or A.C. pulses may be used. The ions are discharged as they migrate to the electrodes and values of g<sub>rz</sub>=10 are ob50 tained. Another method uses an applied electric field at a high frequency, and transparent electrodes protected by thin transparent sheets such as glass from actual contact with the dipole suspension. In such case, the ions remain in the dipole layer.
The alignment of the dipoles increases as the voltage pulse passes through and beyond the maximum at each half-cycle. Each time the voltage nears and passes through the minimum, the suspension starts to disalign slightly. The disalignment time is very long compared with the alignment time, hence on each successive half-cycle the orientation of the particles become more nearly parallel to the direction of the applied electric field, and the transmittance increases until substantially maximum alignment is achieved. The alignment is limited by Brownian motion.
Ion migration in the dipole suspension produces separation of positive and negative electric charges setting up a counterfield which more or less completely neutralizes the aligning electric field. With D.C. or low frequency A.C. electric fields, the positive and negative ions migrate to opposite surfaces of the dipole layer, reducing or cancelling the aligning electric field within the dipole layer.
However, with an electric field of a sufficiently high frequency, ion migration and separation of oppositely charged ions is minimized, and the field-neutralizing effect substantially eliminated.
As an example, using a 0.05 to 0.1 mm. thick dipole layer between glass layers each about 0.5 mm. thick, the total separation is about 1 mm. If a potential difference of 150 volts is applied acros this 1 mm. space, then the electric field strength along the Z axis E<sub>z</sub> is 1.5 kv./cm. For frequencies up to a few hundred cycles at 1.5 kv./cm., the transmittance increase of the dipole cell is small. However, at 1.5 kv./cm., the transmittance increases substantially as the frequency increases to the 1 to 25 kc. range. In a suspension according to Example 1 maximum transmittance occurred at a frequency of about 6 kc. This phenomena may be interpreted as follows:
The ions within the dipolar suspension have a certain mobility which is expressed in cm./sec. per volt/cm., or cm.<sup>2</sup>/volt-sec. The ion mobility in the dipole cell was calculated assuming that to neutralize the applied electric field, the ions travel during a half-cycle a distance equal to the length of a dipole. The length of the dipole is 10<sup>-4 </sup>cm. The critical frequency is 5 kc., or a half-cycle time of 10—<sup>4</sup> seconds. The RMS ion velocity is then 10~<sup>4</sup>/10~<sup>4 </sup>or 1 cm./sec. at 1500 volts/cm. Hence the mobility of the ion in the dipole suspension must be 1/1500=6.7χ 10<sup>-4 </sup>cm.<sup>2</sup>/volt-sec. This checks with typical ion mobilities given in the literature, for example:
C1-, 6.9 X10-<sup>4</sup>
OH-, 18.1 X10-<sup>4</sup>
H+, 32.0 X 10-<sup>4</sup>
For the herapathite suspension the ion is probably I<sup></sup>which should have a mobility approximating that of Cl<sup>-</sup>.
At lower frequencies the ions migrate a greater distance, and periodically concentrate near each end of the dipole layer. These charge concentrations counteract the applied electric field, and the dipole alignment is decreased. However, as the frequency increases toward the critical frequency, the ions oscillate only a short distance about a mean position. The phase of the ion oscillation may differ from the phase of the induced charge on the dipole, and hence certain applied electric field frequencies enhance the dipole alignment. This optimum frequency of the applied electric field produces the greatest transmittance of the dipole suspension at a given RMS volts/cm. field intensity.
Thus, for a given high transmittance, a low voltage high frequency field will operate as well as a high voltage low frequency field. As the frequency is increased the ionic shielding effect is diminished or eliminated, and the applied electric field more effectively produces alignment of the dipoles.
3,512,876
A step D.C. voltage is effective to align the dipole particles, but this alignment is only momentary. Shortly after applying the step D.C. voltage, an ionic shielding layer is set up on each face of the dipole layer, counteracting the applied D.C. field. The dipole particles are then shielded from the applied field. The dipole particles then start to disalign under randomizing molecular impacts due to Brownian motion. For the step D.C. voltage to cause an initial alignment, the rise time of the applied step voltage must be very short; for example less than 10 microseconds.
On the other hand, utilizing the high frequency voltage pulse technique, the dipoles continue to align during each half-cycle and, therefore, substantial alignment may be achieved with a low field strength. The alignment persists as long as a high frequency field is applied. The disalignment that occurs between cycles is relatively small compared to the alignment effect occurring during each halfcycle.
There are additional advantages to be gained by utilizing the high frequency technique. The transparent conducting electrodes may be covered with an insulating transparent layer such as glass. This protects the transparent conductive coating from destruction due to electrolytic action, and also prevents the contamination of the dipole solution by the products of electrolytic action.
Herapathite dipole suspensions are particularly sensitive to electrolytic destruction yet, when placed between a dipole cell in which the transparent conducting electrodes were covered with a thin glass layer, these suspensions were stable for over 16 hours at an applied field strength of 1.5 kv./cm. at 25 kc.
The dipole suspension, novel dipole materials and the various embodiments of the apparatus according to this invention provide a new and improved method of controlling visible light and wave energy in adjacent portions of the electromagnetic spectrum. They provide for the first time a practical adaptation of the use of suspensions of oriented dipole particles to the control of light, free of the difficulties which have beset prior attempts to make use of dipole suspensions for such purposes.
Apparatus according to the various embodiments of this invention included devices whose optical properties can be varied at will without requiring the use of mechanical moving parts to effect such variation. Such devices are characterized by improved optical characteristics and speed of response as compared to previously available equipment.
The electro-optical devices of this invention are useful in a variety of ways which their unique characteristics will readily suggest to those skilled in the art. Among the useful applications of such a device may be mentioned photographic exposure control, space vehicle environmental control, and exposure control in non-photographic reproduction and facsimile systems such as electrostatic reproduction and the like. They provide extremely rapid response and relaxation time, without requiring use of mechanical means for accomplishing the same. Such devices employ electrical means to effect relaxation, but require a minimum of insulation, and lend themselves to extremely compact construction, and whose electrodichroic ratio and sensitivity is unusually large.
A novel combination comprising a neutral density filter and an electro-optic shutter may be provided by suitably pulsing the device shown in FIG. 1. For example, referring to FIG. 35, it will be seen that a pulse of 20 kv./cm. will cause the shutter to open to approximately 22% transmittance within approximately 0.3 millisecond, whereas a voltage pulse of 100 kv./cm. will cause the shutter to open to about 70% with the shorter time. Therefore, by utilizing voltage pulses having various peak amplitudes the maximum transmittance of the shutter may be controlled. Moreover, the time duration during which the shutter is open is controlled by the time duration of the applied pulses as previously described herein. Thus is provided a simple neutral density-electro-optic shutter in combination in which the transmittance and time duration is controlled electrically.
While this invention has been described with reference to certain preferred embodiments, illustrated by way of certain drawings, and exemplified by specific examples, these are illustrative only, as many alternatives and equivalents will readily occur to those skilled in the art, without departing from the spirit and scope of the invention. The invention is therefore not to be construed as limited, except as set forth in the appended claims.
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Every citation, both ways
| Document | Relation | Office | Cited during |
|---|---|---|---|
| US10071283B2 | Cited by | United States of America | Applicant |
| JPS5068152A | Cited by | Japan | Search report |
| US3799650A | Cited by | United States of America | Search report |
| US10030961B2 | Cited by | United States of America | Applicant |
| JPS4953057A | Cited by | Japan | Search report |
| US3704060A | Cited by | United States of America | Search report |
| JPS4960751A | Cited by | Japan | Search report |
| US4247175A | Cited by | United States of America | Search report |
| JPS4984642A | Cited by | Japan | Search report |
| JPS4953056A | Cited by | Japan | Search report |
| JPS4953058A | Cited by | Japan | Search report |
| US10258826B2 | Cited by | United States of America | Applicant |
| US9915532B2 | Cited by | United States of America | Applicant |
| US9764216B1 | Cited by | United States of America | Applicant |
| JPS4841756A | Cited by | Japan | Search report |
| US5017007A | Cited by | United States of America | Search report |
| US3841732A | Cited by | United States of America | Search report |
| US6550943B2 | Cited by | United States of America | Applicant |
| US11550033B2 | Cited by | United States of America | Search report |
| US3910687A | Cited by | United States of America | Search report |
| US10357703B2 | Cited by | United States of America | Applicant |
| US10004948B2 | Cited by | United States of America | Applicant |
| US9744429B1 | Cited by | United States of America | Applicant |
| US4212519A | Cited by | United States of America | Search report |
| US8120839B2 | Cited by | United States of America | Search report |
| US6491416B1 | Cited by | United States of America | Applicant |
| WO2013104734A1 | Cited by | World Intellectual Property Organization (WIPO) | International search |
| US6902307B2 | Cited by | United States of America | Applicant |
| US5475043A | Cited by | United States of America | Search report |
| JPS4984669A | Cited by | Japan | Search report |
| US2010149628A1 | Cited by | United States of America | Pre-grant |
| US2003206418A1 | Cited by | United States of America | Pre-grant |
| US3741629A | Cited by | United States of America | Search report |
| US5630877A | Cited by | United States of America | Search report |
| US10130844B2 | Cited by | United States of America | Applicant |
| US9658509B2 | Cited by | United States of America | Applicant |
| US3756700A | Cited by | United States of America | Search report |
| JPS4960938A | Cited by | Japan | Search report |
| US4270841A | Cited by | United States of America | Search report |
| US3883227A | Cited by | United States of America | Search report |
| US9347775B2 | Cited by | United States of America | Search report |
| US4099854A | Cited by | United States of America | Search report |
| US4273422A | Cited by | United States of America | Search report |
| US2010302624A1 | Cited by | United States of America | Pre-grant |
| US8098421B2 | Cited by | United States of America | Applicant |
| JPS4960939A | Cited by | Japan | Search report |
| US7029151B2 | Cited by | United States of America | Applicant |
| US2005185104A1 | Cited by | United States of America | Pre-grant |
| US10258860B2 | Cited by | United States of America | Applicant |
| US10112101B2 | Cited by | United States of America | Applicant |
| US7036966B2 | Cited by | United States of America | Applicant |
| US4442019A | Cited by | United States of America | Search report |
| US10328306B2 | Cited by | United States of America | Applicant |
| US3736046A | Cited by | United States of America | Search report |
| US3900417A | Cited by | United States of America | Search report |
| US4657349A | Cited by | United States of America | Search report |
| US8792154B2 | Cited by | United States of America | Applicant |
| JPS48101948A | Cited by | Japan | Search report |
| US10258827B2 | Cited by | United States of America | Applicant |
| US3655267A | Cited by | United States of America | Search report |
| US10258859B2 | Cited by | United States of America | Applicant |
| JPS4940543A | Cited by | Japan | Search report |
| US6441945B1 | Cited by | United States of America | Search report |
| US10252108B2 | Cited by | United States of America | Applicant |
| US10258825B2 | Cited by | United States of America | Applicant |
| US3876288A | Cited by | United States of America | Search report |
| US3930719A | Cited by | United States of America | Search report |
| US9261752B2 | Cited by | United States of America | Applicant |
| US6907177B2 | Cited by | United States of America | Search report |
| US5364689A | Cited by | United States of America | Search report |
| US6913375B2 | Cited by | United States of America | Applicant |
| US3876287A | Cited by | United States of America | Search report |
| US7724419B1 | Cited by | United States of America | Search report |
| US4714324A | Cited by | United States of America | Search report |
| US10300336B2 | Cited by | United States of America | Applicant |
| US4311361A | Cited by | United States of America | Search report |
| US3891307A | Cited by | United States of America | Search report |
| US4294518A | Cited by | United States of America | Search report |
| US9789381B1 | Cited by | United States of America | Applicant |
| JPS4946753A | Cited by | Japan | Search report |
| US2003185011A1 | Cited by | United States of America | Pre-grant |
| US2021373128A1 | Cited by | United States of America | Search report |
| US7312916B2 | Cited by | United States of America | Search report |
| US6558026B2 | Cited by | United States of America | Applicant |
| US10363474B2 | Cited by | United States of America | Applicant |
| JPS4953059A | Cited by | Japan | Search report |
| JPS519602Y1 | Cited by | Japan | Search report |
| US2003202357A1 | Cited by | United States of America | Pre-grant |
| US10279215B2 | Cited by | United States of America | Applicant |
| US10010751B2 | Cited by | United States of America | Applicant |
| US2010308207A1 | Cited by | United States of America | Pre-grant |
| US10864427B2 | Cited by | United States of America | Applicant |
| US2014157896A1 | Cited by | United States of America | Pre-grant |
| US2004047579A1 | Cited by | United States of America | Pre-grant |
| US9925415B1 | Cited by | United States of America | Applicant |
| US4072411A | Cited by | United States of America | Search report |
| US9855485B1 | Cited by | United States of America | Applicant |
| US10288500B2 | Cited by | United States of America | Applicant |
| JP2018155524A | Cited by | Japan | Search report |
| US1955923A | Cites | United States of America | Search report |
4 priority claims, no other members on record
Priority claims4
| Document | Office | Kind | Date |
|---|---|---|---|
| 37883664 | United States of America | A | |
| 37883664 | United States of America | A | |
| 378836 | – | – | – |
| US19640378836 | – | – | – |
Numbers
- Publication, DOCDB
- 3512876
- Publication, EPODOC
- US3512876
- Application
- 378836
- Application, DOCDB
- 3512876D
- Application, EPODOC
- USD3512876
Titles
- English
- DIPOLAR ELECTRO-OPTIC STRUCTURES
Classification
- CPC, 1
- G02F1/172
- IPC, 1
- G02F1 17
