US 5,124,815 AGrant
Method for Forming Holographic Optical Elements Free of Secondary Fringes
Issue Date:1992-06-23
•26 Claims
•5 Drawing Sheets
Abstract
Holographic optical elements relatively free of unwanted, secondary fringes are produced using light having a limited coherence. A photosensitive material of a predetermined thickness records the interference between two beams of light. The mutual coherence of the two illumination beams is sufficiently great to form high contrast interference fringes within some portion of the photosensitive medium. The mutual coherence is limited to prevent the formation of high contrast interference with reflections from the various parts of the construction optics. The two illumination beams may be incident from opposite sides of the photosensitive medium forming a reflection holographic optical element or from the same side of the photosensitive medium forming a transmission holographic optical element. A laser generates the first illumination beam. Control of the mutual coherence may be by passing the first illumination beam through a moving diffuser plate or by varying the wavelength of the laser during the exposure. The second illumination beam may be formed by a reflector in contact with the photosensitive medium or by a beam splitter.
Metadata
Assignee
- Kaiser Optical Systems
Inventor
- Byung J. Chang
Application Information
Application Number:US 6496741
Filing Date:1991-02-26
Priority Date:1984-05-24
Art Unit:257
Classifications
IPC:
G03H 104
Field of Search:
3503594303.81;3.85;3.8;3.7;3.68;3.69;3.6;3201;10;11;12;15;27;28;32;9001;2
Patent Drawings (5 sheets)
Description
Background of the Invention
1. Field of the Invention
This invention relates to holographic optical elements and methods of forming such elements in such a manner as to make them free of unwanted secondary fringes by use of light beams having short coherence path lengths.
2. Prior Art
Holographic optical elements (HOEs) comprise plates having fine fringe-like structures which are formed by photographic processes involving the record of interference fringe patterns of two mutually coherent light beams. In use, the fringe-like structures diffract light wavefronts incident on the HOEs to act as lenses, filters and the like.
When HOEs are formed by illuminating a photographic emulsion coated on a supporting plate with a pair of coherent light beams to form an interference pattern, it is difficult to prevent various secondary reflections of the incident light beam from interfering to produce unwanted, secondary fringe patterns of a lower intensity than the primary fringes. One source of these secondary reflections is the reflection that occurs when the primary interfering beam, after having passed through the photographic emulsion, enters the immediately contacting media, be it air, a liquid or solid material. Despite the fact that the contacting media is transparent, because of the differences in indices of refraction between the emulsion and this media, some reflections back into the emulsion will occur from the interfaces. These reflections can be minimized using index-matching techniques and anti-reflection coatings, but cannot be completely eliminated. If the primary light beam has sufficient coherence path length, these reflections back into the emulsion will interfere with the primary beam to produce secondary fringes. In many applications of HOEs, the resulting weak, secondary fringe systems will not deleteriously affect the performance of the device, but in certain applications such secondary fringes are highly undesirable. For example, holographic optical elements are used as combiners in head-up display systems in which they act to superimpose instrument displays on the pilot's view through the aircraft windshield. In this application secondary fringe systems may produce undesirable images to the pilot which may interfere with his perception of both the instrument displays and the view through the windshield.
Summary of the Invention
The present invention is accordingly directed toward a method of forming HOEs in such a manner as to achieve a desired fringe pattern without the generation of any undesirable secondary fringes.
The present invention preferably achieves this object by producing an HOE from the interference of two light beams having an extremely limited coherence path length so that they will form extremely localized fringe patterns but their secondary reflections will be incoherent with one another and with the primary incident beams so that no stationary interference or resulting fringes will be produced within the photographic emulsion.
The limited coherence beams used in the present invention have a high degree of either spatial or temporal coherence and a low degree of the other coherence. Thus, when the path length between the two beams is shorter than the coherence path length of the light source, the beams will produce higher contrast stationary fringes at their intersection. If the path lengths between the primary beams and their reflections are longer than the coherence path length, secondary fringe patterns cannot be produced because the secondary reflections become incoherent with respect to the primary beams. The two beam sections are arranged so that they intersect one another, within the media, in the very short coherence path length of the beams. Any reflections produced by the beams as they exit the media will be incoherent with respect to other sections of the primary incident beams and accordingly, will not produce secondary fringes when they intersect such beams.
The limited coherence beam of the present invention may be produced by passing light from a laser having a high degree of both temporal and spatial coherence through a random phase (diffusing) plate which lowers the spatial coherence of the beam but does not appreciably reduce the temporal coherence. If the phase plate is stationary during the time of the exposure stationary interference patterns would occur at random locations between various sections of the beam which illuminate the media, producing what is termed a speckle pattern. This possibility is eliminated by moving the random phase plate during the exposure time so that any random interferences are time-averaged to zero, eliminating the speckle pattern.
Alternatively, the beam could be produced with low temporal coherence and high spatial coherence by the tuning the spectrum of a tunable-dye-laser over the period of the exposure.
One technique for obtaining localized interference in the photographic emulsion with a limited coherence light beam, involves backing up the photographic emulsion with a mirror and illuminating the emulsion with a single limited coherence beam. The mirror is in close contact to the emulsion and its reflections are highly coherent with the incident beam and strongly interfere with them. The single beam illumination technique using a mirror has been employed in the prior art to form white light holograms using beams that are both spatially and temporally coherent. An alternative technique for producing localized interference patterns with a limited coherence beam involves dividing the beam into two beams through use of a beam splitter or the like and passing them through paths of identical length so that they reach the emulsion at angles relative to one another but intersect within their limited coherence path length. They may both reach the emulsion from the same side to produce a transmission hologram or be brought into the emulsion from opposite sides to produce a reflection hologram.
Brief Description of the Drawings
Other objectives, advantages and applications of the present invention will be made apparent by the following detailed description of two alternative embodiments of the invention. The description makes reference to the accompanying which:
FIG. 1 is a diagrammatic illustration of the interference patterns which occur when a photographic emulsion layer, backed by a mirror, is illuminated with coherent light;
FIG. 2 is a diagrammatic illustration of a first method of practice of the present invention wherein a single beam of light of limited spatial coherence illuminates a photographic emulsion layer backed by a mirror to form a reflection HOE;
FIG. 3 is a schematic illustration of a first form of spatial coherence control device for use with the present invention, comprising a rotating random phase plate;
FIG. 4 is a schematic diagram of a form of a temperal coherence control device for use with the present invention, comprising a tunable-dye laser;
FIG. 5 is a schematic diagram of a method for practice of the present invention using two beams to form a transmission hologram; and
FIG. 6 is a schematic diagram of a method of the practice of the present invention using two beams to form a reflection hologram.
Detailed Description
FIG. 1 diagrammatically illustrates the manner in which undesired secondary fringe patterns are generated in the prior art method of forming a reflection HOE using a single coherent beam technique.
A glass plate 10 is coated with a photosensitive layer 12 of the type used to form holograms, preferably a photographic emulsion. Alternatively other photosensitive materials such as thermoplastics or photoresists may be used. A planar mirror 14 is placed with its reflective surface in close proximity to the emulsion layer 12 by an index matching medium 16.
The glass plate 10 is illuminated by a beam 18 of coherent light derived from a laser which is incident on the plate. One ray of the beam R1 will be incident on the glass plate 10, at an angle of .theta. to the normal the photosensitive emulsion 12, the index matching medium 16 and will be reflected by the mirror surface 14 back through the layers at a complimentary angle of .theta. to the normal in the form of a beam R2. As the wavefront of the beam R2 passes through the emulsion 12 in a direction opposite to the wavefronts of R1, stationary interference patterns will occur which are substantially constant over the period of the exposure. The difference in path length between these two beams is very short, typically on the order of 30 microns to several centimeters. The stationary pattern of constructive and destructive interference between these two beams produces latent images in the photosensitive emulsion in the form of a fringe pattern. Upon subsequent photographic development of the emulsion, a fringe pattern of varying optical transmissivity is produced.
As the reflected beam R2 passes through the interface between the glass plate 10 and the ambient media 20, typically air, a reflected ray R3 is produced because of the difference between the indices of refraction of the two medium. Anti-reflective coatings may be used to minimize the reflection but inevitably some reflection will occur. This secondarily reflected beam R3 will move in the same direction as another section of the primary incident beam, R4, and as both move through the emulsion layer 12 a stationary pattern of interference will occur if the difference in path lengths that the two wavefronts travel through to reach this point is within the coherence length of the incident laser beam 18. Measuring from a common wave front point 21 on the two incident beam rays R1 and R4, the difference dp in the path length between the secondary reflected beam R3 and the beam R4 will be approximately S.sub.1 +S.sub.2 +S.sub.3 +S.sub.4 -S.sub.5 -S.sub.6. If this difference is sufficiently greater than the coherence path length of the laser, the instantaneous interference pattern which occurs between the secondary reflective beam and the primary beam will move appreciably during the period of the exposure and accordingly no stationary interference fringes will be produced. If this difference is not greater than the coherence path length of the laser, secondary interference fringes will be formed. In any event, the interference fringes produced between this secondarily reflected beam and the primary beam will be weaker in amplitude than the fringes produced by the primary beam's interference with its own reflection from the mirror 14, but these weak secondary fringes may deleteriously affect the performance of the resulting HOE.
A preferred embodiment of the present invention used to form reflection HOEs with a single beam technique is diagrammatically illustrated in FIG. 2. A collimated beam of laser light 24 is passed through a coherence control device 27 so that the output beam 29 from the coherence control device will have a coherence path length much shorter than the beam path length difference dp (=S.sub.1 +S.sub.2 +S.sub.3 +S.sub.4 -S.sub.5 -S.sub.6). In this case, since the path length difference dp is much longer than the coherence path of the beam there are no stationary fringe patterns formed between the secondary reflective beam R3 and the primary beam R4. In practice of the method illustrated in FIG. 2, proper balance should be achieved between the path length difference dp and the coherence path length of the light source so that a high contrast primary interference pattern is formed but no secondary interference occurs.
A preferred embodiment of the spatial coherence control device 27 is diagrammatically illustrated in FIG. 3. A collimated beam 24 from the laser 25 is passed through beam shaping optics 26 such as a microscope objective to focus the beam at a plane 28. A circular random phase disk 30 of etched or ground glass is rotated in its plane by a motor 32 so that the beam intersects the plate beyond the focal plane 28, thus illuminating an area on the disk. In alternative embodiments the phase plate could be moved randomly or reciprocated linearly. Because of the variations in the thickness of the rotating, random phase plate, the rays of the beam passing through different points of the phase plate will have different phases. Moreover, because of the rotation of the phase plate 30, the phases of any two points on the exiting beam will vary relative to one another during the period of the exposure. Accordingly, the spatial coherence of the beam that exits the rotating random phase plate will be reduced.
In this manner the coherence length of the exiting beam will be decreasing as an angular source size .theta..sub.s 35, which is observed as the recording plane 31, increases. The coherence path length of the beam is approximately in an inverse relationship to the angular source size .theta..sub.s 35.
A preferred embodiment of the temporal coherence control device is diagrammatically illustrated in FIG. 4. A host laser 41 providing its output to a tunable-dye laser 40 is operative to generate a collimated output beam 24. A suitable tunable-dye laser is Coherent Radiation Corporation, Model CR599-01. Using a coumarin-7 dye, the output of the laser may be varied between 505 and 565 nanometers. A bandwidth controller 42 is connected to the laser to vary its output during the period of the exposure. The nature of the bandwidth controller depends upon the specific tunable-dye laser being used and may constitute a drive motor which varies the position of the cavity mirror during the period of the exposure or alternatively may simply provide a varying electrical signal which changes the output of the laser.
The coherence length of the laser beam is inversely proportional to the bandwidth of the laser and if the bandwidth of a fixed output laser is sufficiently broad it may be unnecessary to change the tuning of the laser during the exposure time and accordingly the need for a tunable-dye laser is eliminated.
The output beam 29 of the temporal coherence control of FIG. 4 is used in the manner illustrated in FIG. 2 to form an HOE without secondary fringes.
FIG. 5 illustrates the manner in which a limited coherence beam, such as the type produced by the systems of FIGS. 3 or 4, is used to form a transmission HOE. The output beam from a laser 19 is passed through a spacial or temporal coherence control device 27 to produce a limited coherence output beam 29. A beam forming optical system 50, such as a microscope objective, pinhole, or the like provides a collimated output beam which is incident upon a beam splitter 52. One beam section is reflected by a mirror 54 through another suitable beam forming optical system 58 and the output beam is incident upon a photosensitive emulsion 62 formed on a substrate 64.
The other beam from the splitter 52 is reflected by a mirror 56 through a beam forming optical system 60 and the output beam is incident upon the emulsion 62 at an angle relative to the first beam. The path lengths of the two beams from the beam splitter to the substrate are carefully controlled so as to be substantially identical. Accordingly, when the two beams intersect within the emulsion stationary interference patterns are formed during the period of the exposure despite variations in the input beam that may be produced by the coherence control unit 27. Reflections which occur when the incident beams reach the interface between the substrate 64 and the ambient media 66 are relatively incoherent with respect to the primary incident beams so that no stationary fringe patterns are formed when they intersect with these beams within the emulsion.
The photosensitive emulsion is then developed by suitable means to provide the desired HOE.
FIG. 6 illustrates essentially the same apparatus used to form a reflection HOE. The emulsion 62 and supporting substrate are supported relative to the two limited coherence beams, of equal path length, so that the beams enter the emulsion from opposite sides. A cover plate 70 of substantially the same constitution as the substrate 64 matches the path length of the two beams to compensate for the refraction that occurs by passage of one of the beams through the substrate 64. A index matching medium 68 interfaces the abutting surface of the cover plate 68 and the emulsion 62.
Claims
I claim:
1. The method of constructing a reflection holographic optical element free of secondary interference fringes comprising: forming a transparent supporting substrate having a predetermined thickness and first and second surfaces; disposing a layer of transparent photosensitive material on said second surface of said transparent supporting substrate, said layer of photosensitive material having a first surface in contact with said second surface of said transparent supporting substrate and a second surface; forming a first light beam having limited effective coherence; illuminating said transparent supporting substrate and said layer of photosensitive material through said first surface of said transparent supporting substrate with said first light beam; reflecting said first light beam after it passes through said layer of photosensitive material from a reflecting surface disposed in immediate proximity to said second surface of said layer of photosensitive material to form a second light beam which passes through said layer of photosensitive material and said transparent supporting substrate; developing said layer of photosensitive material; and controlling said limited effective coherence of said first light beam to be so limited that the intersection of said first light beam and a third light beam formed by the reflection of said second light beam from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material.
2. The method of constructing a reflection holographic optical element as claimed in claim 1 wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam from a wavelength tunable laser; and said step of controlling said limited effective coherence of said first beam of light consists of producing a predetermined spectral bandwidth by varying the wavelength of said wavelength tunable laser during said step of illuminating with said first light beam, said limited effective coherence being inversely proportional to said predetermined spectral bandwidth.
3. The method of constructing a reflection holographic optical element as claimed in claim 2, wherein: said step of controlling said limited effective coherence of said first beam of light further consists of producing said predetermined spectral bandwidth whereby said first light beam has an effective coherence length less than the optical path length along the light bath from said second surface of said photosensitive material to said reflecting surface, reflected to said first surface of said transparent supporting substrate and further reflected to said second surface of said photosensitive material.
4. The method of constructing a reflection holographic optical element as claimed in claim 1, wherein: said step of forming a first light beam having limited effective coherence consists of forming a light beam from a monochromatic point source, illuminating a diffuser plate with diverging light from said monochromatic point source to form an extended source with a predetermined size, and moving said diffuser plate during said step of illuminating said diffuser plate to form said first light beam having limited effective coherence; and said step of controlling said limited effective coherence of said first beam of light consists of selecting the distance between said monochromatic point source and said diffuser plate, thereby forming a predetermined angular source size, said limited effective coherence being inversely proportional to said predetermined angular source size.
5. The method of constructing a reflection holographic optical element as claimed in claim 4, wherein: said step of controlling said limited effective coherence of said first beam of light further consists of selecting the distance between said monochromatic point source and said diffuser plate whereby said first light beam has an effective coherence length less than the optical path length along the light path from said second surface of said photosensitive material to said reflecting surface, reflected to said first surface of said transparent supporting substrate and further reflected to said second surface of said photosensitive material.
6. The method of constructing a reflection holographic optical element as claimed in claim 1, wherein: said step of reflecting said first light beam consists disposing a reflecting surface in close proximity to said second surface of said layer of photosensitive material and filling the space between said layer of photosensitive material and said reflecting surface with an index matching fluid having an index of refraction substantially equal to the index of refraction of said layer of photosensitive material.
7. The method of constructing a reflection holographic optical element as claimed in claim 1, wherein: said step of forming a transparent supporting substrate consists of forming a planar transparent supporting substrate.
8. The two beam method of constructing a transmission holographic optical element free of secondary interference fringes comprising the steps of: forming a transparent supporting substrate having a first predetermined thickness and first and second surfaces; disposing a layer of photosensitive material on said second surface of said transparent supporting substrate, said layer of photosensitive material having a first surface in contact with said second surface of said transparent supporting substrate and a second surface; forming a first light beam having limited effective coherence; forming a second light beam to interfere with said first light beam to construct the transmission holographic optical element; simultaneously illuminating said layer of photosensitive material through said second surface of said layer of photosensitive material with said first and second light beams; developing said layer of photosensitive material; and controlling said limited effective coherence of said first light beam to be so limited that any intersection of said first light beam reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate with either said first light beam or said second light beam does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material, and any intersection of said second light beam reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate with either said first light beam or said second light beam does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material.
9. The two beam method of constructing a transmission holographic optical element as claimed in claim 8, wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam from a wavelength tunable laser; and said step of controlling said limited effective coherence of said first beam of light consists of producing a predetermined spectral bandwidth by varying the wavelength of said wavelength tunable laser during said step of illuminating with said first light beam, said limited effective coherence being inversely proportional to said predetermined spectral bandwidth.
10. The two beam method of constructing a transmission holographic optical element as claimed in claim 8, wherein: said step of forming a first light beam having limited effective coherence consists of forming a light beam from a monochromatic point source, illuminating a diffuser plate with diverging light from said monochromatic point source to form an extended source with a predetermined size, and moving said diffuser plate during said step of illuminating said diffuser plate to form said first light beam having limited effective coherence; and said step of controlling said limited effective coherence of said first beam of light consists of selecting the distance between said monochromatic point source and said diffuser plate, thereby forming a predetermined angular source size, said limited effective coherence being inversely proportional to said predetermined angular source size.
11. The two beam method of constructing a transmission holographic optical element as claimed in claim 8, wherein: said step of forming a second light beam includes splitting said second light beam from said first light beam using a beam splitter.
12. The two beam method of constructing a transmission holographic optical element as claimed in claim 11, wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam from a wavelength tunable laser; and said step of controlling said limited effective coherence of said first beam of light consists of producing a predetermined spectral bandwidth by varying the wavelength of said wavelength tunable laser during said step of simultaneously illuminating with said first and second light beams, said limited effective coherence being inversely proportional to said predetermined spectral bandwidth, whereby said first light beam has an effective coherence length which is (a) less than the difference between the optical path length along the light path of said first light beam from the beam splitter through said layer of photosensitive material and said transparent supporting substrate, reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate back through said transparent supporting substrate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material, and (b) less than the difference between the optical path length along the light path of said second light beam from the beam splitter through said layer of photosensitive materials and said transparent supporting substrate, reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate back through said transparent supporting substrate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material.
13. The two beam method of constructing a transmission holographic optical element as claimed in claim 11, wherein: said step of forming a first light beam having limited effective coherence consists of forming a light beam from a monochromatic point source, illuminating a diffuser plate with diverging light from said monochromatic point source to form an extended source with a predetermined size, and moving said diffuser plate during said step of illuminating said diffuser plate to form said first light beam having limited effective coherence; and said step of controlling said limited effective coherence of said first beam of light consists of selecting the distance between said monochromatic point source and said diffuser plate, thereby forming a predetermined angular source size, said limited effective coherence being inversely proportional to said predetermined angular source size, whereby said first light beam has an effective coherence length which is (a) less than the difference between the optical path length along the light path of said first light beam from the beam splitter through said layer of photosensitive material and said transparent supporting substrate, reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate back through said transparent supporting substrate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material, and (b) less than the difference between the optical path length along the light path of said second light beam from the beam splitter through said layer of photosensitive material and said transparent supporting substrate, reflected from said first surface of said transparent supporting substrate due to the difference in index of refraction between said transparent supporting substrate and the ambient medium beyond said first surface of said transparent supporting substrate back through said transparent supporting substrate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second surface of said layer of photosensitive material to said particular point of said photosensitive material.
14. The two beam method of constructing a transmission holographic optical element as claimed in claim 11, wherein: said step of simultaneously illuminating said layer of photosensitive material with said first and second light beams provides substantially equal optical path lengths of said first light beam from said beam splitter through said second surface of said layer of photosensitive material to any particular point within said layer of photosensitive material and of said second light beam from said beam splitter through said second surface of said layer of photosensitive material to said particular point within said layer of photosensitive material.
15. The two beam method of constructing a transmission holographic optical element as claimed in claim 8, wherein: said step of forming a transparent supporting substrate consists of forming a planar transparent supporting substrate.
16. The two beam method of constructing a transmission holographic optical element free of secondary interference fringes comprising the steps of: forming a first transparent plate having a first predetermined thickness and first and second surfaces; disposing a layer of photosensitive material on said second surface of said first transparent plate, said layer of photosensitive material having a first surface in contact with said second surface of said first transparent plate and a second surface; forming a second transparent plate having a second predetermined thickness and first and second surfaces; disposing said second surface of said second transparent plate in contact with said second surface of said layer of photosensitive material, thereby forming a three layer structure including said first transparent plate, said layer of photosensitive material and said second transparent plate; forming a first light beam having limited effective coherence; forming a second light beam, by splitting said second light beam from said first light beam using a beam splitter, to interfere with said first light beam to construct the transmission holographic optical element; simultaneously illuminating said layer of photosensitive material through said first surface of said first transparent plate with said first and second light beams; developing said layer of photosensitive material; and controlling said limited effective coherence of said first light beam to be so limited that any intersection of said first light beam reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate with either said first light beam or said second light beam does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material, and any intersection of said second light beam reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate with either said first light beam or said second light beam does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material.
17. The two beam method of constructing a transmission holographic optical element as claimed in claim 16, wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam having an effective coherence length which is (a) less than the difference between the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate, said layer of photosensitive material and said second transparent plate, reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate back through said second transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate and said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said first transparent plate sand said layer of photosensitive material to said particular point of said photosensitive material, and (b) less than the difference between the optical path length along the light path of said second light beam from the beam splitter through said first transparent plate, said layer of photosensitive material and said second transparent plate, reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate back through said second transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate and said layer of photosensitive material to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said first transparent plate and said layer of photosensitive material to said particular point of said photosensitive material.
18. A two beam method of constructing a reflection holographic optical element free of secondary interference fringes comprising: forming a three layer structure including a first transparent plate having first and second surfaces, a second transparent plate having first and second surfaces, and a layer of photosensitive material having a first surface disposed adjacent to said second surface of said first transparent plate and a second surface disposed adjacent to said second surface of said second transparent plate; forming a first light beam having limited effective coherence; forming a second light beam to interfere with said first light beam to construct the reflection holographic optical element; simultaneously illuminating said layer of photosensitive material through said first surface of said first transparent plate with said first light beam and through said first surface of said second transparent plate with said second light beam; developing said layer of photosensitive material; and controlling said limited effective coherence of said first light beam to be so limited that any intersection of said first light beam with said second light beam reflected from said first surface of said first transparent plate due to the difference in index of refraction between said first transparent plate and the ambient medium beyond said first surface of said first transparent plate does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material, and any intersection of said first light beam reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate with said second light beam does not form stationary interference fringes of high contrast anywhere within said layer of photosensitive material.
19. The two beam method of constructing a reflection holographic optical element as claimed in claim 18, wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam from a wavelength tunable laser; and said step of controlling said limited effective coherence of said first beam of light consists of producing a predetermined spectral bandwidth by varying the wavelength of said wavelength tunable laser during said step of illuminating with said first light beam, said limited effective coherence being inversely proportional to said predetermined spectral bandwidth.
20. The two beam method of constructing a reflection holographic optical element as claimed in claim 18, wherein: said step of forming a first light beam having limited effective coherence consists of forming a light beam from a monochromatic point source, illuminating a diffuser plate with diverging light from said monochromatic point source to form an extended source with a predetermined size, and moving said diffuser plate during said step of illuminating said diffuser plate to form said first light beam having limited effective coherence; and said step of controlling said limited effective coherence of said first beam of light consists of selecting the distance between said monochromatic point source and said diffuser plate, thereby forming a predetermined angular source size, said limited effective coherence being inversely proportional to said predetermined angular source size.
21. The two beam method of constructing a reflection holographic optical element as claimed in claim 18, wherein: said step of forming a second light beam includes splitting said second light beam from said first light beam using a beam splitter.
22. The two beam method of constructing a reflection holographic optical element as claimed in claim 21 wherein: said step of forming a first light beam having limited effective coherence consists of forming said first light beam from a wavelength tunable laser; and said step of controlling said limited effective coherence of said first beam of light consists of producing a predetermined spectral bandwidth by varying the wavelength of said wavelength tunable laser during said step of simultaneously illuminating said layer of photosensitive material with said first and second light beams, said limited effective coherence being inversely proportional to said predetermined spectral bandwidth, whereby said first light beam has an effective coherence length which is (a) less than the difference between the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate, said layer of photosensitive material and said second transparent plate, reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate back through said second transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second transparent plate to said particular point of said photosensitive material, and (b) less than the difference between the optical path length along the light path of said second light beam from the beam splitter through said second transparent plate, said layer of photosensitive material and said first transparent plate, reflected from said first surface of said first transparent plate back through said first transparent plate due to the difference in index of refraction between said first transparent plate and the ambient medium beyond said first surface of said first transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate to said particular point of said photosensitive material or the spectral path length along the light path of said second light beam from the beam splitter through said second transparent plate to said particular point of said photosensitive material.
23. The two beam method of constructing a reflection holographic optical element as claimed in claim 21, wherein: said step of forming a first light beam having limited effective coherence consists of forming a light beam from a monochromatic point source, illuminating a diffuser plate with diverging light from said monochromatic point source to form an extended source with a predetermined size, and moving said diffuser plate during said step of illuminating said diffuser plate to form said first light beam having limited effective coherence; and said step of controlling said limited effective coherence of said first beam of light consists of selecting the distance between said monochromatic point source and said diffuser plate, thereby controlling said predetermined size, said effective coherence length being inversely proportional to said predetermined angular source size, whereby said effective coherence length is: (a) less than the difference between the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate, said layer of photosensitive material and said second transparent plate, reflected from said first surface of said second transparent plate due to the difference in index of refraction between said second transparent plate and the ambient medium beyond said first surface of said second transparent plate back through said second transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate to said particular point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second transparent plate to said particular point of said photosensitive material, and (b) less than the difference between the optical path length along the light path of said second light beam from the beam splitter through said second transparent plate, said layer of photosensitive material and said first transparent plate, reflected from said first surface of said first transparent plate back through said first transparent plate due to the difference in index of refraction between said first transparent plate and the ambient medium beyond said first surface of said first transparent plate to any particular point of said photosensitive material and either the optical path length along the light path of said first light beam from the beam splitter through said first transparent plate to said particular point of said photosensitive material or the optical point of said photosensitive material or the optical path length along the light path of said second light beam from the beam splitter through said second transparent plate to said particular point of said photosensitive material.
24. The two beam method of constructing a reflection holographic optical element as claimed in claim 21 wherein: said step of simultaneously illuminating said layer of photosensitive material with said first and second light beams provides substantially equal path lengths of said first light beam from said beam splitter through said first transparent plate to any particular point within said layer of photosensitive material and of said second light beam from said beam splitter through said second transparent plate to said particular point within said layer of photosensitive material.
25. The two beam method of constructing a reflection holographic optical element as claimed in claim 18, wherein: said step of forming said first transparent plate consists of forming a planar first transparent plate; and said step of forming said second transparent plate consists of forming a planar second transparent plate.
26. The two beam method of constructing a reflection holographic optical element as claimed in claim 18, wherein: said step of forming a three layer structure including said first transparent plate, said layer of photosensitive material and said second transparent plate includes the steps of forming a first transparent plate having a predetermined thickness and first and second surfaces; disposing a layer of transparent photosensitive material on said second surface of said first transparent plate, said layer of photosensitive material having a first surface to contact with said second surface of said first transparent plate and a second surface; forming a second transparent plate having said predetermined thickness and first and second surfaces; disposing an index matching medium between said second surface of said second transparent plate and said second surface of said layer of photosensitive material, thereby forming said three layer structure.
Patent Citations (4)
Non-Patent Literature (2)
- Siebert, L. D., "Holographic Coherence Length of a Pulse Laser", Applied Optics, vol. 10, No. 3, Mar. 1971 pp. 632-637.
- Leith, E. M. and Leon, S., "Construction and Evaluation of HOEs Made in LiIght of Reduced Coherence", Applied Optics, vol. 23, No. 6, pp. 942-947, Mar. 15, 1984.