Double beam systems for forming holograms

, FOR FORMING IMPROVED HOLOGRAMS

TECHNICAL FIELD

This invention relates to a system and method of forming improved holograms and particularly to a system and method that eliminates noise holograms due to spur5 ious reflections from forming in the hologram.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is'related to a patent application, Systems For Forming Improved Diffusion Holograms by 10 James A. Arns, Timothy J. Edwards, Gaylord E. Moss and John E. Wreede; and a patent application, Systems For Forming Improved Reflection Holograms with a Single Beam, by James A. Arns, Timothy J. Edwards, Gaylord E. Moss and John E. Wreede; both ׳ referenced applications being 15 filed concurrently with this application.

BACKGROUND OF THE INVENTION

1. Field of the Invention

One of the problems״associated with holograms is 20 that diffraction optics displays Utilizing a hologram are degraded by the effects of the spurious reflection and transmission hologram recordings that are generated during the holographic exposure process. These spurious hologra,ms have been found to be generated by reflections from 25 surfaces which are interfaces of materials of differing index of refraction such as air to glass Interfaces of the

Μ η . t f . י surfaces of the recording cover plates, the substrate or the optical elements and by these reflections interfering with the main holographic beams and with each other to form both spurious reflection hologram recordings and spurious transmission hologram recordings on the recordIng film. In a display utilizing a hologram the spurious reflection hologram recordings create ghost images and the spurious transmission hologram recordings create rainbow like flare patterns. The purpose of this inven10 tion is to prevent the recording of the unwanted spurious holograms that are caused by reflections and thus to eliminate both ghost and flare images in the final display.

2. Description of the Prior Art

Prior to this Invention there was no known method .15 to reduce the' flare and ghost images of holograms to acceptable levels. The basic approaches that have been utilized in an attempt to minimize the problem are either to anti-reflection coat all surfaces, to embed all optlcal elements in an index matching fluid when forming the 20 holograms.such that no air to glass interface reflections reach the active area, or to form the holograms with the beams impinging the recording medium at the Brewster's angle; The first method has been found to be inadequate because the best known anti-reflection coating provides 25 results that :are many times worse than required. The second method is generally unsuccessful because the striations in large fluid volumes degrade the holographic recording process. The third method is unsatisfactory because of the restriction of the angular placement of 30 the'recording, and hence playback, beams to the recording medium.

According to the present invention there is provided a system for forming during a recording period a hologram from first and second primary beams received from first and second sources while eliminating spurious hologram recordings from being formed, comprising:

a recording structure which has a recording medium and an index matching fluid positioned in spaces between first and second cover plates, and means for varying the phases at said recording medium of rays reflected from at least one of said first and second cover plates.

The hologram forming arrangements in accordance with the principles of the invention prevent the formation of undesired spurious hologram recordings by moving the reflecting surfaces during the recording process or by moving the recording medium during the recording process. The movement may be continuous or a step motion within the scope of the invention. The rays reflected from the reflective surfaces are changed in phase during the recording process so that undesired combinations of reflected and primary rays or two reflected rays continually change their relative phase. Thus, the phase coincldent positions of rays which would provide undesired recordings, continually move along the recording medium and their efficiency is reduced so that they are unable to create spurious recordings of sufficient intensity at any point to adversely effect the final hologram. At the same time, in some arrangements in accordance with the invention, the primary rays are also changed in phase at the recording medium by the movement of the reflecting surfaces or the recording medium. The relative phases of the rays of the primary beams must be maintained constant during the recording period to maintain full efficiency of the primary hologram. To control the phase of the primary beams, one or more Improved phase shifters are provided to vary the phases of the .recording beams so as to maintain full efficiency of the primary hologram. The concepts of the invention include formation of transmis10 sion holograms with all reflecting surfaces being continually moved and the formation, of transmission holograms with the recording medium being continually moved while the reflecting surfaces are maintained stationary. The concepts of the invention also Include formation of reflection holograms with all reflective surfaces being moved and the formation of reflection holograms with the recording medium being moved while the reflecting surfaces are maintained stationary. All of these holographic recording arrangements continually change the phase relationship of the primary beam and the reflected beams at the position of the recording medium so that the principle spurious hologram recordings are effectively smeared along the recording medium and have a minimal intensity. A global phase shifter which may be utilized in the primary beams of the hologram forming systems in accordance with the invention, is provided to correct the phase variations of the primary beams. This phase correction is accurately performed over the entire surface of the recording medium and at the different angles at which the primary rays are applied to the recording medium. A sensing system controls the movement of one surface of the global phase shifter in correspondence to the movement of the reflecting surfaces or the recording medium so that the efficiency of both of the primary beams is maintained at a high level and is

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j.־ ' not effected by the operation to eliminate the spurious hologram recordings. One system in accordance with the principles of the invention, prevents the formation of at least the principle spurious hologram recordings without using the global phase shifters.

BRIEF DESCRIPTION OF THE DRAWINGS

The novel features that are considered characteristlc of this invention are set forth with particularity in the appended claims. The invention itself, both as to its organization and method of operation as well as additional objects and advantages thereof, will best be understood from the following description when read in connection with the accompanying drawings in which like reference numbers refer to like parts and in which:

FIG. 1 is a schematic fragmentary side view of a portion of a transmission hologram forming structure for explaining the reflective beams or rays that are present to form spurious hologram recordings;

FIG. 2 is a schematic diagram showing the principle spurious transmission and reflection holograms formed by the structure of FIG. 1 without using the concepts of the invention;

FIG. 3 is a schematic fragmentary side view of a portion of a reflection hologram forming structure for explaining the reflective beams or rays that are present to form spurious hologram recordings;

FIG. 4 is a schematic diagram showing the principle spurious transmission and reflection holograms formed by the structure of FIG. 3 without using the concepts of the invention;

FIG. 5 is a schematic sectional view of a system for forming a transmission hologram with all reflective surfaces of the hologram recording structure being con35 trolled to move and operating either with or without .

global phase shifters, all in accordance with the principles of the invention;

FIGS. 5a, 5b, and 5c are enlarged sectional views showing portions of the system cf FIG. 5;

FIG. 6 is a sectional view taken at lines 6-6 of

FIG. 5 for further explaining the recording system in accordance with the principles of the invention;

FIG. 7 is a sectional view taken at lines 7-7 of

FIG. 5 for further explaining thestructure of the 10 global phase shifters;

FIG. 8 is a schematic partially fragmentary side view of a global phase shifter operating with one reflectIng surface of the recording structure for further explaining the operation of the global phase shifters in ¹⁵ accordance with the principles of the Invention;

FIG. 9 is a schematic sectional view of a system for forming a reflection hologram with all of the reflective surfaces of the recording structure moving and including global phase shifters, all in accordance with the principles of the invention;

FIGS. 9a, 9b and 9c are enlarged sectional views showing portions of the system of FIG. 9;

FIG. 10 is a schematic top view taken at lines 10-10 of FIG. 9 for further explaining the structure of 25 the recording system;

FIG. 11 is a schematic sectional view of a system for forming a transmission hologram with only the recording medium and substrate moving and including global phase shifters in accordance with the invention;

FIG. 12 is a schematic sectional view of a system for forming a reflection hologram with only the recording medium and substrate moving and utilizing global phase shifters in accordance with the invention;

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FIGS. 12a and 12b are enlarged sectional views of the recording structure and are global phase shifters of FIG. 12; and

FIG. 13 is a schematic sectional view taken at 5 lines 13-13 of FIG. 12.

DETAILED DESCRIPTION OF THE INVENTION

Referring first to FIG. 1 which shows a crosssectional side view of a structure similar to that uti10 lized to provide the transmission holograms in accordance with the invention but having reflective surfaces typical of prior art structures, the spurious hologram recording problem will be explained. The recording structure for forming a transmission hologram includes first and second 15 cover plates 10 and 12 shown flat for convenience of Illustration but which may be curved as is well known in the art. It is to be noted that many conventional hologram forming systems do not utilize cover plates but still have similar reflections from outer surfaces. A 20 substrate 14 is positioned between the cover plates 10 and 12 and has a recording medium 16 fixed thereon which ' may be any suitable recording material such as dichromated gelatin when forming a phase type hologram or may be an amplitude type material. The spaces adjacent to the cover 25 plates 10 and 12 are filled with suitable refractive index matching fluids 20 and 21 so that the rays such as laser rays are not reflected' from the inner surfaces of the cover plates 10 and 12 or when entering the substrate 14 or the recording medium 16. Primary rays A and B of 30 hologram forming beams are applied to the structure and first order reflections A' and B’ result at a surface 22 of the plate 12. Second order reflections A and B are also formed but their intensity is reduced to a relatively low level.

₃₅ Referring now also to FIG. 2, spurious reflection holograms from rays BB', AA', BA’ and AB’ will be formed at the recording medium 16 as a result of the surface reflections shown in FIG. 1. Other low intensity spurious reflection holograms are formed from ray comblnations A'A, B'B, B'A, and A'B. Low Intensity trans5 mission holograms will be formed by rays A'B', AA, BB, BA and BA. It is to be noted that even the intensity of spurious reflection holograms formed from higher order reflections such as A’B’ are typically many times weaker than holograms formed from rays Including a primary ray 10 such as AB', A'B, BB' and AA'. Also the spurious transmission hologram formed from rays such as A'B' are typically many times weaker than, the other holograms which are formed by Interactions with one primary beam. Thus, although one of the systems of an embodiment of FIG. 5 of the invention does not eliminate the spurious holograms formed from the A'B' rays and some other higher order ray combinations, these beams do not substantially affect the hologram clarity. By eliminating all of the spurious holograms or all of the holograms which are combinations 20 including at least one primary ray, only holograms from the desired primary beams A and B have a substantial efficiency.

Referring now to the. sectional view of FIG. 3, the same structure of FIG. 1 is shown having like reference 25 numerals but with the beams directed to form a reflection hologram. The beams A and B are applied to the structure from opposite directions and a reflective beam A' is reflected from the surface 22 with reflective beam B' being reflected from a surface 24^ Also formed are the 30 second order reflections A and B.

Referring now also to FIG. 4, the spurious transmission holograms provided by the structure of FIG. 3 are developed by beams AB' and A'B. Other relatively weak spurious transmission holograms are formed from ray com35 binations AA, BB, A'B, BA and AB. The spurious reflection holograms from the same structure are caused by beams AA', BB' and A'B'. Similar to the discussion relative to FIG. 2, the holograms developed from two reflection beams A'B' are of a low-intensity and have a limited affect on a hologram recording. Other relatively 5 weak spurious reflection holograms are formed from ray combinations A’A, B'B, AB, AB and AB. It is to be noted that all spurious holograms resulting from any ray combinations except the two primary rays are eliminated by the two beam systems in accordance with the invention.

¹⁰ Referring now to FIGS. 5, 5a, 5b and 5c which show a system for forming a transmission hologram with all spurious recordings substantially eliminated by.moving the reflective surfaces, a recording structure 29 includes outer cover plates 30 and 32 which are illustrated as having curved surfaces, the outer surfaces being respective surfaces 3^ and 36. The cover plates 30 and 32 are connected by suitable sealing bellows 38 and 39 for retaining refractive index matching fluid or oil 42 and 43 in the optical path and around a recording medium 48 so that the recording structure is Index matched to prevent reflections from inner surfaces. Mounted fixedly between the cover plates 30 and 32 by a fixed mounting ring 49 is a substrate 46 with the recording medium or film 48 attached to the bottom surface thereof. The

25' recording medium 48 may be any suitable type of recording material such as a dichromated gelatin if a phase hologram is being formed or may be an amplitude type material such as silver halide. The cover plate 30 is solidly attached by methods such as gluing to a mounting ring 55 30 on which suitable transducers such as piezoelectric cylinders 50, 52 and 5^ and a fourth piezoelectric cyllnder 55 (FIG. 6) are attached thereto. The piezoelectric cylinders have their bottom surfaces attached by methods such as gluing to a suitable fixed mounting structure.

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Similarly, the cover plate 32 is fixedly attached to a mounting ring 57 on which four piezoelectric cylinders including-cylinders 56, 58 and 60 are attached thereto.

The piezoelectric cylinders, such as 56, 58 and 60, have their top surfaces attached to the fixed mounting structure 55.' Both of the cover plates 32 and 30 move in opposite directions, respective distances Δχ and Δ2 during the recording of a hologram as Indicated by dotted surfaces 61 and 59. This motion removes spurious hologram recordings Including those from higher order rays.

The laser wavefront applied to the recording structure 29 is provided by a laser 64 which applies a beam to a beam splitter 68 which may be a semi-reflective mirror that transmits one-half of the received energy and reflects one-rhalf of the received energy. The reflected beam is applied from the beam splitter 68 to a mirror 66 and is then reflected to a mirror 70 which reflects the beam to a spatial filter 72 which as 'is well known in the art includes a lens and structure with an opening of a selected size. Suitable optics (not shown) are provided so that the beam has a wave front that may be spherical, for example, to match the curvature of the cover plates 30 and 32. The beam is then applied to a phase shifter

76 which is Illustrated as the global phase shifter in accordance with the principles of the invention. The phase shifter 76 includes two windows 78 and 80 respectively mounted to mounting rings 79 and 83. Four transducers such as piezoelectric cylinders 81, 82 and 84 are attached to the top surface of the mounting ring 83 and , the piezoelectric cylinders have their upper end attached to the mounting ring 79. The mounting ring 83 is mounted to a fixed structure. An index matching fluid 89 is contained between the windows 78 and 80 by a sealing bellows 91. The curvature of window 78 is chosen so that the angle of each ray transmitted through window 78 is equal to the angle of incidence at the outer surface of the cover plate 32. The window 78 simultaneously moves in the opposite direction as the cover plate 32 as Indicated by a dotted surface 88 so as to provide Δ3 movement to correct the phases of the primary beams as a function of the refractive index and distance of movement of the window 78.

The laser beam transmitted through the beam splitter 68 isreflected from the surface of a mirror 102 to a spatial filter 104. It is to be understood that the two laser beam path lengths, in the system of FIG. 5 and in the other illustrated systems, are matched.within the restrictions of the coherence of the source or 'laser. The laser beam is then applied to a phase shifter unit 106 which is similar to the unit 76 except that, in some arrangements, the distance of movement Δ4 may be different than Δ3 and the curvature of the surfaces of the windows may be different than that of the phase shifter 76. The.phase shifter 106 includes windows 108 and.110 shown having curved surfaces that are spherical. The window 110 is fixedly mounted to a mounting ring 109 and the window 108 is attached to a mounting ring 111. Four transducers which may be piezoelectric cylinders including cylinders 112, 114, and 116 are mounted between the mount rings 109 and 111 with the ring 109 being suitably mounted to a‘ fixed structure. An index matching fluid 113 is retained between the windows 108 and 110 by a sealing bellows 115. Laser rays A and B are shown passing from the phase shifter unit 106 to the recording structure 29 and laser rays C and D are shown passing from the phase shifter unit 76 to the recording structure 29. Additional rays of the laser beams are not shown for. convenience and clarity of illustration.

Control of the piezoelectric cylinders attached to the cover plates 30 and 32 Is provided by a ramp generator 120 which applies a ramp voltage signal of a waveform 126 to an amplifier 122 and in turn to a lead 124. It is to be noted that the ramp generator 120 may provide signals with other configurations such as a triangular wavefonrf. Also, the period of.recording may cover a portion or several cycles of phase change. The lead 124 is coupled to the piezoelectric cylinders including cylinders 50, 52, 54, 56, 58 and 60 to simultaneously move the lenses 30 and 32 in opposite, directions. Also, the lead 124 is coupled to the four piezoelectric cylinders including cylinders 112, 114 and 116 of the phase shifter unit 106 to insure that the substrate 48 receives the primary recording beam at a constant phase from one phase shifter. All of the piezoelectric cylinders have a ground or reference voltage connection (not shown).

The phase shifter unit 76 is controlled to insure that the recording medium 48 receives the rays such as C and D corrected for the movement of the cover plate 32 and is slaved to the reference phase variation of the phase shifter 106 by an interferometer system. A beam splitter 130 in a glass structure 13 is mounted between the substrate 46 and the cover 30 to combine beams B and D. Only two rays shown as B and D are.applied to the beam splitter 130 with the two rays splitting and after mixing.being applied to mirrors 132 and 134, each respectively receiving rays D and B' (a reflected ray) and rays B and D’ (a reflected ray). The mixed signals DB׳ and BD’ are respectively applied to detectors 140 and 142 and the output signals of each detector varies with the product of the mixed signals as they vary in phase. A differential amplifier 146 receives the signals from the detectors 140 and 142 and provides a difference signal that follows the phase modulation provided by the phase shifter 76. The difference signal is applied from the differential amplifier 146 through a high-voltage amplifier 148 to a lead 150 which in turn is coupled to the four piezoelectric cylinders of the phase shifter

106 including cylinders 81, 82 and 84. The slaving of the phase shifter unit 76 to the phase shifter unit 106 has the advantage that variations in the characterlstics of the piezoelectric cylinders and the driving ramp voltage received by different cylinders is compensated.

Referring now also to F.IG. 6 which shows a section taken below the recording medium 48, a window 154 is shown through which the mixed beams pass to the detectors 140 and 142. The mounting ring 57 is also changed in con/ figuration at the' window 154 so that the detectors 140 and 142 of FIG. 5 receives the mixed beams.

Referring now also to FIG. 7 which is a sectional view of the phase shifter 76, a piezoelectric cylinder 85 is shown and the phase shifter may utilize the same number of piezoelectric cylinders as is utilized in the 20 recording structure 29«

In the operation of forming a hologram by the system of FIG. 5/ the wavefronts including rays A and C are applied to the recording medium 48. In response to the ramp voltage of the waveform 126, the cover plates 32 and 25 31 move distances Δ]_ and Δ2 ^{one or} more times during the illustrated continuous recording process so that the phases of the primary beams A and C change about one or more one-half wavelengths during the recording period, this period being a function of the sensitivity of the 30 recording medium. The distances Δ!, Δ2, Δ3 and Δ4, are equal in the Illustrated system but the distance Δ2 and rate of motion of plate 30 may be at a different frequency within the scope of the invention. Typical film recording times are between nanoseconds and hours with 35 the ramp voltage of the waveform 126 extending over this period. The reflected waves from a surface 34 have a

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1*1 total phase shift of about 2 ηΔ^ during the recording period if the phase shifters are not present where n is the refractive index of the index matching fluid. Because the continuous shift of the primary rays such as A and C 5 decreases the intensity of the primary hologram recordIngs, the global phase shifters 76 and 106 operate to eliminate the phase shift of the primary beam so that the rays are maintained at a constant relative phase by decreasing or increasing the path length as a result of 10 the movements Δ3 and Δ2ן in the refractive index material while the path length in the recording structure 29 is respectively increasing or decreasing. The net result is to maintain the phase relationship of the rays of the two primary beams while varying the phase of 15 the reflective rays. This continuous change of phase relationships between the primary beams and the beams reflected from the outer surfaces of cover plates 30.and 32 prevents the formation of spurious hologram recordings having sufficient Intensity to affect the final hologram 20 display.

To explain the Δ movements, the Δ! and δ₂ movements during an exposure period may be selected as being equal and the phase shifters from this movement is partly cancelled by the movement of the phase shifters 76 and 25 106. The phase shift of ray A at the surface 108 due to the motion Δ4 is (1.515 - 1.0)Δ1! or . 515Δ1!, where 1.515 is the index of refraction, for example, of a particular glass and 1.0 is the index of refraction of air. The phase shift of ray A at the outer surface of the cover 30 plate 32 to maintain the ray at a constant phase at the film *18 is (I.515 - 1.0)Δ! or .515Δ!. It is to be noted that Δ! is equal to Δ4 and similarly Δ3 is equal to Δρ The phase shift of the reflected ray A' at the surface 34 is approximately (1.515 x 2)δ₂35 or 3.03Δ₂ and this is also the phase shift of the ray C' at the film 48. Thus, it can be seen that if Δ!,. Δ2 and Δ2! are equal the reflected vector A' has a phase shift difference from the fixed phase ray A of approximately 3.03δ2 thus preventing spurious holograms. All of the delta values are the displacement of the respective moving surfaces along the vertical axis of FIG. 5. It is to be noted that the actual phases along the rays is also a function of the ray angle as well as the vertical displacement but, for ease of understanding, this parameter has not been considered in the above discussion. <

The system of FIG. 5 as shown also cancels all spurious holograms that would be formed from all combinations involving any reflective ray or rays because of the movement of the plate 32. The desired hologram in the systems of the invention is the hologram formed by interference between primary rays. If it is desired to only eliminate spurious holograms . from combinations of the primary and any reflection rays, the cover plate 32 may be maintained stationary by disconnecting the lead 124 from the piezoelectric cylinders such as 56, 58 and 60 and by removing the phase shifters 106 and 76. Thus, only cover plate 30 is moving during the exposure period. This simplified arrangement in accordance with the invention provides a transmission hologram that .is satisfactory for many uses. It is to be noted that with the cover plate 32 stationary and the phase shifters removed, the relative phase at the recording medium 48 between the fixed phase ray A and the reflected ray A' varies by

3-03Δ2 when the refractive index is that of glass (typically 1.515).

To further explain the correspondence of angles of each ray between the phase shifter unit and the cover plate 32, reference is now also made to FIG. 8 which is a fragmentary side view of a typical global phase shifter and a portion of the recording structure. In order to lock the phases of the primary exposure beams in the system of FIG. 5, a compensation must be provided for the global variation in path lengths in the entire wavefront. Path length variations occur as a result of the motion of the cover and are a function of the path angle through the moving cover plate 32. A global phase shifter 160 is shown having windows 162 and 164 with an index matching fluid therebetween and with flat surfaces for ease of explanation, but the concept is the same for curved surfaces as shown in FIG. 5. The rays A and C are applied to a flat cover plate 166 and in turn through an index matching fluid 167, substrate 168 and a recording medium or film 170. The two rays A and C pass through the,moving cover plate 166 at different angles θΑ and θρ. In systems in accordance with the invention where the substrate moves the phase shifter angle must equal the angle at the recording medium which is the surface that moves. It is to be.noted that by moving the cover plate 166 a distance Δ, the path length change for each ray is different since it depends inversely on the cosine of θ. Thus, in order to maintain the phases of the main exposure beams locked, the phase shifter ,160 must correct the phases of each ray in the inverse ratio of cosine of θ. The phase shifter 160 is a liquid Index matched structure with a surface and refractive index that substantially matches the cover plate 166. It is to be understood that if a different refraction index were utilized in the phase shifters in the systems of the Invention, the curvatures of the phase shifters and the cover plates would be varied accordingly. Thus, the angle for each ray passing through the phase shifter 160 corresponds to the angle for each ray passing through the moving cover plate 166 or the moving recording medium in systems of the invention where the substrate is controlled to.move. By selecting the surface curvature, the rate of movement of the window 162 and the distance to the focal point at the spatial.filter 104, the phase shifter 160 automatically adjusts each ray in proportion to its own inverse cosine function so that the path length compensation over all of the surface of the cover plate 166 is of the proper amount. Thus, a requirement for designing the phase shifter is that the angles for each ray must be the same at the phase shifter gtnd at the cover plate. Accordingly, the global phase shifter 160, in accordance with the invention, corrects the phase of each of the main beams so that each ray is at a constant phase and so that the two beams maintain their relative phase relationship while the moving cover plate 166 changes the phase of the reflected beams relative to the main or primary beams to prevent formation of spurious hologram recordings. The operation of the phase shifters shown in all of the systems, in accordance with the invention is the same.as explained relative to FIG. 8.

Referring now to FIGS. 9, 9a, 9b, 9c and 10, a system is shown for forming reflection holograms utilizing two laser beams and preventing the formation of all spurious hologram recordings that could be formed from first and higher order reflections by moving both of the cover plates during the recording period. A recording structure 172 includes cover plates 174 and 176 positioned on opposite sides of a substrate 178 having a recording medium or film 180 attached to the lower surface thereof for example. At one position of the substrate 178, a beam splitter prism 179 is attached having a beam splitting coating 181 at the center thereof for providing a mixing action so that one of the phase shifters can be controlled. The substrate 178 is attached to a fixedly positioned mounting ring 182 and the spaces between the cover plate 174 and the recording medium 180 and between the substrate 178 and the cover plate 176 are filled with index matching fluids 184 and 185, being contained by sealing bellows 186 and 188. The cover plate 174 is attached to a ring 200 which in turn is attached to transducers shown as piezoelectric cylinders 202, 204 and 206 and a fourth piezoelectric cylinder (not shown). The bottom of the piezoelectric cylinders attached to the ring 200 are f ixedly attached to a suitable ‘mounting structure. The cover plate 176 is attached to a mounting ring 210 which in turn is attached to transducers shown as piezoelectric cylinders 212, 214, and 216 and a piezoelectric cylinder 220 shown in FIG. 10.

The system Includes global pha-se shifters 224 and 226 which are similar in structure and function as explained relative to FIGS. 5 and 8 except that they are positioned so that the direction of curvature of the windows match the direction of cdrvature of the respectlve cover plates 174 and 176. The laser 64 applies a beam to a beam splitter 230 which reflects the beam to a spatial filter 232, the beam having passed through suitable optics (not shown) for forming a phase front of a desired configuration such as a spherical phase front in the illustrated system. The beam is then applied through the phase shifter 224 through the cover plate 174, the index matching fluid 185, and to the recording medium 180 as one of the primary recording beams.

The beam transmitted through the beam splitter 230 is reflected in turn from the surface of mirrors 234, 236 and 238 to a spatial filter 240. The beam has a wavefront as provided by suitable optics (not shown). The beam then passes through the phase shifter 226 through the cover plate 176, index matching fluid 184, substrate 178 and the recording medium 180 as the second primary recording beam. The phase shifter 224 and 226 have top cover plates that move respective distances Δ4 and Δ3 to the positions of respective dotted lines 251 and 256.

The ramp generator 120 applies a ramp voltage, for example, through the amplifier 122 and through a lead 242 to the piezoelectric cylinders 202, 204, 206, 212, 214 and 216 and to the two cylinders not shown but attached to the rings 200 and 210. Also the lead 242 is coupled to the four piezoelectric cylinders provided in the phase shifter 226. The phase shifters' 226 and 224 move to maintain the phases of the primary beams while the cover plate 176 moves during the recording process.

In order to slave the.phase change of the primary beam passed through the phase shifter 224, beams A and B are applied to the beam splitter prism 179 so that each reflects and passes through the beam splitting coating 181. A window 242 is provided as shown in FIG. 10 to pass two mixed rays to detectors 140 and 142, which in turn applies signals to the differential amplifier 146 and high voltage amplifier 148, which elements were described relative to FIG. 5.

The beam splitter 181 forms a Michelson interfero20 meter that compares the phase of transmitted beam B with a reflected beam A' at the detector 140. The beam splitter 181 also compares transmitted beam A with reflected beam B’ at the detector 142. The output signals of the detectors 140 and 142 are proportional to the difference in phase of the beams A and B in the plane of the substrate 180 and a difference signal is provided at the output of the differential amplifier 146. The signal at the output of the amplifier 148 is applied through a lead 244 to the four piezoelectric cylinders of the phase shifter 224 so that the path length variation is slaved to the path length variation of the phase shifter 226 and the two cover plates. It is to be noted that each piezoelectric cylinder also has a reference voltage connected thereto as is well known in the art. In operation, the cover plates 174 and 176 move during the recording process and the primary beams are maintained with a constant relative phase at the plane of the recording medium 180 so that the primary hologram has a high efficiency. When the cover plate 174.moves upward as indicated by a dotted line 250, the surfaces of the phase shifter 224 moves upward as shown by the dotted line 251 to compensate the path length change of the main beam. Similarly, when the cover plate 176 moves downward as indicated by the dotted line 254, the surface of the phase shifter 226 moves downward as shown by the dotted line 256 to compensate the path length change of the main beams. Thus, a constant relative phase is maintained between the two main holographic forming beams.

The cover plates 17.4 and 176 may be set to move in equal and opposite directions Δ! and Δ2. Rays from the spatial filter 240 represented by A and C experience an approximate phase variation through the phase shifter 226 of (I.515 - 1.0)0^ or .515Δ3 considering that the index of refraction is that of glass or 1.515 for example. The phase shift of these same rays A and C due to motion of the cover plate 176 will be approximately (I.515 -1.0)Δ2 or .515Δ2. When Δ3 is equal to Δ2 the rays A and C from spatial filter 240, will be of constant phase at the film surface. Ray C' reflected from the surface 174 will see a phase variation of approximately Δ! (1.515)2 or 3.020Δ! relative to the constant phase of the primary rays at the film surface. In a similar manner as outlined above, the rays from spatial filter 232 will be of a constant phase at the recording surface when Δ4 is equal to Aj. In addition, the reflection of rays B and D, or B' and D’, will be constantly varying in phase by approximately (1.515)2 Δ3 during the hologram recording. It is to be noted that all the primary rays remain in phase at the film plane while the first and higher order reflections are of constantly varying phase and are therefore eliminated. The system of FIG. 9 cancels spurious holograms that could be formed from all combinations involving any reflective ray or rays.

Referring now to FIG. 11, a system is shown for forming a reflective hologram utilizing two laser beams and moving the substrate and recording film during the recording process so as to eliminate spurious hologram recordings caused by any combinations of the primary ray with .any surface reflections or any combination of surface reflections. A circular mounting structure 260 is provided to hold cover plates 262 and 264 in a fixed position. A substrate 266 is provided with a recording medium 268 on the lower surface thereof with the substrate 266 being attached or glued to a circular mounting structure 270. Tranducers shown as piezoelectric cylinders 272, 274 and 276 and a fourth piezoelectric cylinder (not shown) are attached between the mounting structures 270 and 260. The system of FIG. 11 and other systems of the invention are not limited to using four cylinders or any motion devices but any suitable number may be utilized to move the substrate or the cover plates. An index matching fluid 280 is provided in the enclosure of the mounting structure 260. Global phase shifters 284 and 286, as discussed relative to FIG. 5 are provided to compensate the phase change of the two main beams indicated as rays A and B while the recording medium 268 continually moves during the recording period. The phase shifters in FIG. 11 as well as in FIG. 12 are designed so that the angle of the rays at the recording medium is equal to the angle of the same ray at the global phase shifter. The laser 64 applies a beam to a mirror 288 and in turn to a beam splitter 290 which transmits a beam in turn to a mirror 292, a mirror 29^ and a spatial filter 296.

The beam can be shaped with a desired phase front between the beam splitter 290 and the spatial filter 296 by suitable optics (not shown). The beam having a spherical configuration, for example, is passed through the phase shifter 286, through the cover plate 262 to the recording medium 268 and on through the cover plate 264 as indicated by the ray A. The beam reflected from the beam splitter 290 is applied to a mirror 300 which reflects the beam to a spatial filter 302. The beam after being shaped with the desired phase front passes through the phase shifter 284, passes through the cover plate 262 to the recording medium 268 and then passes on through the cover plate 264 as indicated by the ray B. The substrate 266 moves a distance Δ! to the position of a dotted line 281 and the bottom windows of the phase shifters 286 and 284 moves distances Δ2 and and Δ3. As prevlously discussed, all of the piezoelectric cylinders in the system of FIG. 11 are also coupled to a source of reference potential (not shown).

The ramp generator 120 applies a ramp voltage through the amplifier 122 and a lead 306 and through a voltage divider 307 to the four piezoelectric cylinders 272, 274, 276 and the one not shown to provide the changing phase of the first and higher order reflective rays. Also, the lead 306 is directly coupled to the four piezoelectric cylinders of the phase shifter 286. In order to control the phase shifter 284, the ray B is passed to a mirror 308 and reflected to a beam splitter 310 so that beams are applied to both the detectors 140 and 142 , as explained relative to FIG. 5. The ray A is passed from the cover plate 264 directly to the beam splitter 310 to provide beams to both the detectors 140 and 142. The detector 140 compares the phase of transmitted beam B with reflected beam A’ and the detector 142 compares the phase of transmitted beam A with reflected beam B'.

A signal proportional to the difference in phase of rays

A and B is developed in the differential amplifier 146 and applied through the amplifier 148 and through a lead

312 to the four piezoelectric cylinders of the phase shifter 284.

The total phase shift of ray A, for example, at the bottom surface of the phase shifter 286 is approximately (1.515 - 1)Δ2 or .515Δ2 and the total phase shift of the ray A at the recording medium 268 is approximately 1.515Δ!. Thus, Δ2 is approximately equal to 3Δχ, and the total displacement Δ2 of the lower window lower window of the phase shifter 286 must be approximately 3 times the total displacement Δ!. Also, the total displacement Δ3 of the lower window of the phase shifter 284 is approximately 3 times the total displacement Δρ The reflected rays A' and B' have a -3.Ο3Δρ or -Δ2 phase variation at the film 268 relative to the fixed phase of the primary rays A and Β to prevent formation of spCrious holograms. This phase shift discussion does not consider the angle of the rays relative to the vertical axis of the Illustrated system.

In operation, when the recording medium 268 moves downward the distance Δ! during the recording period or a portion of the recording period, as Indicated by the dotted surface 281, the lower cover plates of the phase shifters 286 and 284 move upward to maintain a constant relative phase between the two beams and to maintain each ray at a fixed phase. Thus, by moving three elements a high intensity transmission hologram is formed without spurious hologram recordings being formed from reflections. The system of FIG. 11 eliminates spurious hologram recordings caused by all combinations involving any reflected ray or rays.

Referring now to FIGS. 12, 12a, 12b, 12c and 13, a system is shown for developing a reflective hologram and substantially eliminating all spurious. hologram recordings by moving the substrate and the recording film. The system of FIG. 12 eliminates spurious hologram recordings caused by all combinations involving any reflective ray or rays. A circular mounting structure 320 of a'recordlng structure 321 retains in a fixed position, a cover plate 322 and a cover plate 324 having selected curvatures. A substrate 326 having a recording medium or film 328 on the bottom surface, for example, thereof is movably positioned between the cover plates 322 and 324 and is attached to a circular mounting structure 330 also seen in FIG. 13. An index matching fluid 327 is maintained between the cover plates 322 and 324 by sealing bellows 329 and 331 to provide an index matched structure and prevent reflections from the inner surfaces. Transducers shown as piezoelectric cylinders 334, 336, 338 and 340 as shown in FIG. 13 are attached at the top to the mounting structure 320 and attached at the bottom to the mounting structure 330. The piezoelectric cylinder 334 is positloned as shown in FIG. 13 to avoid a window in the structure 320. Global phase shifters 344 and 346 are provided for varying the.phases of the primary beams and each includes transducers shown as piezoelectric cylinders. The laser 64 applies a beam to a beam splitter 348 which reflects a beam through a spatial filter 349 and through the phase shifter 344 to the cover plate 322, the index matching fluid 327, the recording medium 328 and the cover plate 324. The beam may be shaped by suitable optics (not shown) between the spatial filter 349 and the phase shifter 344 to have a spherical wavefront, for example.

The beam transmitted through the beam splitter 348 is reflected in turn from the surfaces of mirrors 350, 352 and 354 and through a spatial filter 356. The beam may be shaped after the spatial filter 356 by suitable optics (not shown). The beam then passes through the phase shifter 346, the cover plate 324, the index matching fluid 327, the recording medium 328 and the cover plate 322.

For providing movement of the recording medium 328, the ramp generator 120 applies a ramp voltage, for example, through the.amplifier 122 to a lead 360 which is coupled through a voltage divider 361 to the piezoelectrie cylinders 334, 336, 338 and 340 (shown in FIG. 13). Also, the lead 360 is coupled to the four piezoelectric cylinders of the phase shifter 346 to provide a phase correctlon to the beam passing therethrough. Mounted to the end of the substrate 360 is a beam splitter prism 362 having a beam splitting coating 364 positioned in the center thereof. A window 370 is provided at the edge of the mounting structure 320 so that beams A! and Bj after mixing to a first pair of beams A'!B]_ and a second set of beams Aj_B]_’ can reflect to the respective detectors 140 and 142. The generation of a difference voltage on a lead 372 is similar to that explained relative to FIG. 9 and will not be explained in further detail. The lead 372 is coupled to the four piezoelectric cylinders of the phase shifter 344 so that the phase correction thereat is slaved to the correction of the phase shifter 346. The total movements of the substrate 321, the bottom plate of the phase shifter 346 and the top plate of the phase shifter 344 are respectively Δχ, Δ2 and Δ3, and occurs in both directions and several times, for example.

In operation, the movement during the recording period of the recording medium 328 eliminates the recording of spurious holograms due to surface reflections.

The operation of the global phase shifters 344 and 346 maintains the׳ primary beams at a constant relative phase to provide a high efficiency hologram recording. The phase shift of the ray A, for example, not considering the ray angle, at the bottom surface of the phase shifter 346 and with the refractive index being that of a typical glass or 1.515 is (1.515 - 1)Δ2 or •515^2 and the phase shift of the ray A at the recording medium 328 due to its motion Δ! is 1,515^1. Thus, the total displacement Δ2 of the phase shifter 346 must be approximately three times the displacement Δ! of the substrate 326 to keep ray A at a constant phase at the recording medium and.prevent the formation of spurious holograms. Also, the total displacement Δ3 of the phase shifter 344 is approximately three times the displacement of the substrate 326.

It is to be noted that the phase shifters 344 and 346 move in the same direction and :the substrate 326 moves in the opposite direction from that of the phase shifter 344 and 346 so that all spurious holograms are prevented from being recorded.

The systems in accordance with the invention have been illustrated as having continual movement of the cover plates or of the substrate and film combination. The principles of the invention are also equally applicable to step movement such as a double exposure type where the cover plates or the substrate and film are moved a distance such that the phase change is π/2 at the middle of the recording period with the two positions .both providing a phase difference relative to the fixed phase of the primary beams. This step exposure arrangement is applicable to simplified systems which use collimated beams. The systems of the invention are not limited ־ to any particular frequency or type of beam and include all laser frequencies, electromagnetic radiation and acoustical beams. Further, depending on the frequency, the structures such as the cover plates may be suitable materials other than glass, such as semiconductor materlais. Although the'piezoelectric transducers were illustrated as being four In each group, any desired number may be utilized such as three. The principles of the invention are not limited to any particular type'of transducer but include piezoelectric devices such as piezoelectric cylinders and piezoelectric stacks, mechanlcal micrometers, heat controlled units, manual control and electromagnetic transducers. In the illustrated systems, the phase excursions of the reflected beams may be selected to be of any desired amount such as over a portion of a wavelength or several wavelengths. The voltage driving signal of the transducers is not limited to a ramp voltage but may also include other desired waveshapes such as triangular waves. The systems of the invention using shifters are not limited to the illustrated feedback arrangements. Further, the systems of the invention may have both phase shifters controlled by the same driving waveform.

It is to be noted that in the Illustrated systems, the surfaces of the mounting plates of the phase shifters and of the cover plates, have been illustrated as. being similar so that the entire surface of the hologram has equally high intensity. If a special wavefront is generated to correct for optical defects and spherical aberrations, for example, the configuration of the surfaces of the phase shifters may have to be modified accordingly. It is also to be noted that in the illustrated systems, the phase front may be modified to any desired configuration and the phase shifters may be modified accordingly so that the angles of the rays at the moving outer surface of the phase shifters is equal to the angle at the first cover plate. It is to be understood that the inner surfaces of the cover plates do not have to conform to the shape of the substrate or recording medium.

The principles of the invention are not limited to any particular wavelength and are applicable to beams or wavefronts from lasers as well as all electromagnetic radiation emitters and acoustic emitters. Also within the scope of the invention, rays A and B can be from beams resulting from convergent, divergent or collimated sources. The format of the holograms, in accordance with the Invention, can be generated by a single overall exposure, a series of adjacent exposures or a series of overlapping exposures, or any combination thereof.

Thus, there has been described systems for the formation of transmission and reflection holograms with the spurious hologram recordings eliminated. By changing the phase relationship between the primary beam rays and the reflected rays, spurious holograms do not substantially record either in a phase type' recording.medium or in an amplitude type recording medium. The relative movement is selected so that the reflected rays have a greater phase shift than the primary rays and this phase shift difference typically has an excursion of several cycles. In order to compensate the primary beam phases so that they have the same relative phase relationship, phase shifters are provided to cancel the phase shifts of the primary beams. However, the reflected beams still have a varying phase difference relative to the phase of the primary beams with which they would form spurious hologram recordings, so that the spurious recordings are of a very low intensity such that spurious recordings do not appear to be present in the final hologram film after chemical developing. For phase type holographic mediums, the rays that would provide spurious recordings in the systems of the invention only provide a slight decrease of the available index modulation. For amplitude type recording mediums, the rays that would have provided spurious recordings in the systems of the invention only provide a slight darkening of the recording medium or film.