CN108594618A - A method of expanding the holographic retina image-forming of field angle - Google Patents
A method of expanding the holographic retina image-forming of field angle Download PDFInfo
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- CN108594618A CN108594618A CN201810298149.0A CN201810298149A CN108594618A CN 108594618 A CN108594618 A CN 108594618A CN 201810298149 A CN201810298149 A CN 201810298149A CN 108594618 A CN108594618 A CN 108594618A
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- 238000000034 method Methods 0.000 title claims abstract description 36
- 210000001525 retina Anatomy 0.000 title claims abstract description 16
- 230000003287 optical effect Effects 0.000 claims abstract description 12
- 238000005070 sampling Methods 0.000 claims abstract description 12
- 238000003384 imaging method Methods 0.000 claims description 7
- 238000001228 spectrum Methods 0.000 claims description 4
- 230000015572 biosynthetic process Effects 0.000 claims description 3
- 230000003247 decreasing effect Effects 0.000 claims description 3
- 238000003786 synthesis reaction Methods 0.000 claims description 3
- 239000013598 vector Substances 0.000 claims description 3
- 230000000007 visual effect Effects 0.000 claims description 3
- 230000004075 alteration Effects 0.000 claims 2
- 241000208340 Araliaceae Species 0.000 claims 1
- 235000005035 Panax pseudoginseng ssp. pseudoginseng Nutrition 0.000 claims 1
- 235000003140 Panax quinquefolius Nutrition 0.000 claims 1
- 238000009795 derivation Methods 0.000 claims 1
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- 238000003379 elimination reaction Methods 0.000 claims 1
- 235000008434 ginseng Nutrition 0.000 claims 1
- 238000001093 holography Methods 0.000 abstract description 5
- 238000005516 engineering process Methods 0.000 description 5
- 239000004973 liquid crystal related substance Substances 0.000 description 2
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- 230000003595 spectral effect Effects 0.000 description 2
- 241001323321 Pluto Species 0.000 description 1
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Classifications
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- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
- G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
- G03H1/22—Processes or apparatus for obtaining an optical image from holograms
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- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
- G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
- G03H1/32—Systems for obtaining speckle elimination
Abstract
The invention discloses a kind of methods for the holographic retina image-forming expanding field angle, include the following steps：1) hologram of object is calculated；2) parameter in optical system is determined, if the spacing between doing light source, the sampling interval and resolution ratio of spatial light modulator, the focal length of lens, filter location；3) projection device is laid：By several point light source groups at light source group, spatial light modulator, lens, filter lay successively, spatial light modulator is connected with computer；4) phase hologram is transferred in spatial light modulator by computer, spatial light modulator is recycled to project to phase hologram in observer's eye of designated position；The holography retina image-forming method can effectively expand the field angle of reconstruction image on the basis of ensureing reconstructed image quality.
Description
Technical field
The present invention relates to a kind of methods for the holographic retina image-forming expanding field angle, belong to holographic imaging technical field.
Background technology
Relative to traditional dimension display technologies, holography is a kind of skill that can rebuild object complex amplitude light field
Therefore art is also considered as optimal next-generation dimension display technologies.However traditional holography is by spatial light tune
The limitation of device pel spacing and device size processed, causes field angle smaller.When human eye slightly moves, image space is can deviate from,
Stopped or by other high diffracting grades time interference, can not be seen and clearly rebuild scene, this greatly hinders holography by diaphragm
The application scenarios of retina image-forming technology.To solve this problem, existing research produces smaller picture from device technology
The spatial light modulator of plain spacing can increase field angle, but so, for common liquid crystal type spatial light modulator
For, the crosstalk between liquid crystal will bring new problem again.On the other hand, existing holography mostly does photograph using laser
Mingguang City source, but laser wavelength range is minimum, that is, coherence is very high, this can cause the speckle of reconstruction image serious, shadow
Image quality is rung, therefore, there is an urgent need for a kind of new schemes to solve the technical problem.
Invention content
It is an object of the present invention to provide a kind of holographic retina image-forming methods expanding field angle, and this method is by using several
A point light source groups at light source make the lighting sources of line holographic projections and can both expand regarding for imaging in conjunction with complex amplitude modulation algorithm
Rink corner can guarantee the quality of reconstruction image again.
To achieve the goals above, technical scheme is as follows：A kind of holographic retina image-forming expanding field angle
Method the described method comprises the following steps：
Step 1) calculates the phase-only hologram of object.
First have to calculate the complex amplitude hologram of object, common methods are angular spectrum diffraction, fresnel diffraction or score
The GS iterative algorithms of rank Fourier's diffraction, point cloud method.By taking cloud method as an example, it is as follows：
According to shown in such as formula (1), random two-dimensional complex amplitude light field is indicated with following formula：
Wherein, A indicates the distribution of amplitudes (it is assumed that input is two dimensional image) of object, and z indicates the song of each spherical wave
Rate radius, that is, the object rebuild is to the distance of holographic facet.U indicates the COMPLEX AMPLITUDE of the spherical wave of unit amplitude, by formula
(2) it provides：
Wherein λ indicates wavelength.
The sampling condition of spherical wave light field is provided by formula (3)：
Wherein Δ x is the sampling interval in the directions x.
H (x, y, 0) namely complex amplitude holograms, are now write formula (1) as following form：
Wherein amplitude information A (x, y) and phase information
Using doublephase modulation coding methods, that is, according to the principle of resolution of vectors, (4) are decomposed into：
Wherein, B=Amax/ 2 be a constant, AmaxIt is the maximum value of A (x, y).
θ1(x, y) and θ2(x, y) is obtained by following two formula respectively：
Again by θ1, θ2Sampling synthesis is carried out, a new phase-only hologram is encoded into.
A clinoplain factor can be finally added on calculated phase-only hologram, avoid reconstruction image by
The influence of device zero order wave.
Step 2) determines the parameter in optical system, such as the spacing between point light source, the sampling interval of spatial light modulator,
The focal length of lens, the position of filter；
It can be derived by lens imaging formula：
Wherein d1For point light source groups to spatial light modulator distance, d2For the distance of spatial light modulator to lens, d3It is saturating
For mirror to the distance of filter, f is the focal length of lens.
When a point light source makees lighting source, Observable range d of the human eye to imagew, it is also equal to zero level on frequency plane
Wave is given by a distance from ± 1 order diffraction image：
Its Δ x is the pel spacing of spatial light modulator.
When three point light source groups at light source group make lighting source when, spacing is p two-by-two between light source, can be according to the following formula
It determines：
I.e.：
It is noted that the spacing size between point light source will not increase with point light source quantity and be changed.
If light source group be by n point light source groups at ,-j the grades of 0 grade of wave of i-th of point light source and the i-th+j point light sources are spread out
The j order diffraction waves of ejected wave and the i-th-j point light sources overlap (i>j≥0).Human eye is expanded to nd to the Observable range of image,
That is when observed range s of the human eye away from frequency plane is remained unchanged, visual field becomes larger with being increased according to point light source quantity, has
Body situation is as follows：
Since lighting source is spherical wave and nonplanar wave, therefore filter is located at a distance after the back focal plane of lens,
It is exactly the frequency plane (u, v) of phase-only hologram, frequency plane (u, v) is parallel to input face (x0,y0), and two plane coordinates originals
The line of point is perpendicular to input face (x0,y0) and frequency plane (u, v).The filter range of filter is not fixed value, can be according to frequency
The actual conditions of Spectral structure are suitably increased and decreased.
Step 3) lays projection device：By several point light source groups at point light source groups 1, spatial light modulator 2, lens 3, filter
Wave device 4 is laid successively so that point light source groups 1, spatial light modulator 2, lens 3, filter 4 are on the same line.Point light
Several spherical waves that source group 1 is sent out are incident at different angles in spatial light modulator 2；Spatial light modulator 2 and generation phase
The computer 5 of position hologram is connected by data line.
The phase hologram is transferred in spatial light modulator 1 by step 4) by computer 5, recycles space light modulation
Device projects to phase hologram in observer's eye of designated position, and observer's eyes are observed after filter.
This method makees the lighting source of holographic retina image-forming by using the light source that several points light source forms so that warp
The method that each group level is coincided with certain correspondence after spatial light modulator diffraction, to expand the hole that frequency plane can filter
Diameter area increases observation field angle to realize.
Compared with the existing technology, beneficial effects of the present invention are as follows：
1) technical solution expands the field angle of reconstruction image, using several point light source groups at light source group as holographic throwing
The lighting source of shadow can expand the field angle of reconstruction image；
2) technical solution can homogenize and improve reconstruction image brightness, in imaging optical path, by that will include to rebuild
Effective diffraction time of image information is Chong Die with zero level hot spot, can effectively improve the bright of the reconstruction image observed by human eye
Spend higher evenly.
3) technical solution eliminates reconstruction image speckle, improves picture quality.Due to the coding staff in computed hologram
Used in method complex amplitude modulate method, can simultaneously modulation image amplitude and phase, avoid because use pure phase bit-type
Spatial light modulator and the way for abandoning amplitude information, i.e., modulated complex amplitude information using only spatial light modulator, can disappear
Except reconstruction image speckle, picture quality is substantially increased；
4) the technical solution optical system is simple, to avoid reconstruction image from being influenced by device zero order wave, in hologram
The upper addition slant plane wave factor, the zero order wave of device and the zero level of complex amplitude coded image are also that we need to filter out simultaneously
Spectrum information can be separated in frequency plane.System need not lay polarizing film, and when filtering can directly filter out the level of needs
Information.
Description of the drawings
Fig. 1 be the present invention step 2) in it is single between point light source and spatial light modulator, lens and filter at
As relational graph；
Fig. 2 be the present invention step 2) in the light source group of n composition when illuminating, the position of diffracted waves at different levels shows on frequency plane
It is intended to；
Fig. 3 is the projection device location drawing of the step 3) of the present invention.
Specific implementation mode
Present invention will be further explained below with reference to the attached drawings and examples for a better understanding of the present invention.
Embodiment 1：As shown in Figure 1, Figure 2, Figure 3 shows, a kind of holographic retina image-forming method expanding field angle, including it is following
Step：
Step 1) calculates the phase-only hologram of object, and specific calculating process is as follows：
According to shown in such as formula (1), random two-dimensional complex amplitude light field is indicated with following formula：
Wherein, A indicates the distribution of amplitudes (it is assumed that input is two dimensional image) of object, and z indicates the song of each spherical wave
Rate radius, that is, the object rebuild is to the distance of holographic facet.U indicates the COMPLEX AMPLITUDE of the spherical wave of unit amplitude, by formula
(2) it provides：
Wherein λ indicates wavelength.
The sampling condition of spherical wave light field is provided by formula (3)：
Wherein Δ x is the sampling interval in the directions x.
H (x, y, 0) namely complex amplitude holograms, are now write formula (1) as following form：
Wherein amplitude information A (x, y) and phase information
Using doublephase modulation coding methods, that is, according to the principle of resolution of vectors, (4) are decomposed into：
Wherein, B=Amax/ 2 be a constant, AmaxIt is the maximum value of A (x, y).
θ1(x, y) and θ2(x, y) is obtained by following two formula respectively：
Again by θ1, θ2Sampling synthesis is carried out, a new phase-only hologram is encoded into.
A clinoplain factor can be finally added on calculated phase-only hologram, avoid reconstruction image by
The influence of device zero order wave.
Step 2) determines the parameter in optical system, such as the spacing between point light source, the sampling interval of spatial light modulator,
The focal length of lens, the position of filter；
It can be derived by lens imaging formula：
Wherein d1For point light source groups to spatial light modulator distance, d2For the distance of spatial light modulator to lens, d3It is saturating
For mirror to the distance of filter, f is the focal length of lens.
When a point light source makees lighting source, Observable range d of the human eye to imageW,It is also equal to zero order wave on frequency plane
At a distance from ± 1 order diffraction image, it is given by：
Its Δ x is the pel spacing of spatial light modulator.
When three point light source groups at light source group make lighting source when, spacing is p two-by-two between light source, can be according to the following formula
It determines：
I.e.：
It is noted that the spacing size between point light source will not increase with point light source quantity and be changed.
If light source group be by n point light source groups at ,-j the grades of 0 grade of wave of i-th of point light source and the i-th+j point light sources are spread out
The j order diffraction waves of ejected wave and the i-th-j point light sources overlap (i>j≥0).Human eye is expanded to nd to the Observable range of image,
That is when observed range s of the human eye away from frequency plane is remained unchanged, visual field becomes larger with being increased according to point light source quantity, has
Body situation is as follows：
Since lighting source is spherical wave and nonplanar wave, therefore filter is located at a distance after the back focal plane of lens,
It is exactly the frequency plane (u, v) of phase-only hologram, frequency plane (u, v) is parallel to input face (x0,y0), and two plane coordinates originals
The line of point is perpendicular to input face (x0,y0) and frequency plane (u, v).The filter range of filter is not fixed value, can be according to frequency
The actual conditions of Spectral structure are suitably increased and decreased.
Step 3) lays projection device：By several point light source groups at point light source groups 1, spatial light modulator 2, lens 3, filter
Wave device 4 is laid successively so that point light source groups 1, spatial light modulator 2, lens 3, filter 4 are on the same line.Point light
Several spherical waves that source group 1 is sent out are incident at different angles in spatial light modulator 2；Spatial light modulator 2 and generation phase
The computer 5 of position hologram is connected by data line.
The phase hologram is transferred in spatial light modulator 1 by step 4) by computer 5, recycles space light modulation
Device projects to phase hologram in observer's eye of designated position, and observer's eyes are observed after filter.
In the present invention, encoded phase-only hologram is loaded by computer 5 in spatial light modulator 2, if doing
Several spherical waves that the light source group 1 of light source composition is sent out are incident on spatial light modulator 2 at different angles, and light wave is in spatial light
Phase-modulation outgoing is carried out in modulator 2, converged through lens 3 and then is filtered by filter 4, and rear sight is projected to
On the person's of examining retina.
Application Example：Using 3 led point light source groups at light source group projected, the wavelength model of 3 led point light sources
It is 538 ± 10nm to enclose；The holoeye Pluto Reflective spatials that spatial light modulator is produced using holoeye companies of Germany
Optical modulator, resolution ratio are 1920 × 1080, pel spacing 8um.Spacing is 1.4cm two-by-two between LED light source.LED light source
The distance and Amici prism to spatial light modulator sum of the distance of group to Amici prism are 0.22m, d2It is arrived for spatial light modulator
The distance 0.8m of lens, the distance 0.15m of lens to diaphragm, the focal length 0.1m of lens.The size of rectangular aperture be 2.2cm ×
0.73cm。
According to the parameter of above-mentioned determination, using the method described in step 2), the pure of artwork is obtained with MATLAB program codings
Phase hologram.Phase-only hologram is loaded by computer 5 in spatial light modulator 2 again, last observer is from diaphragm
It can be seen that reconstruction image behind aperture.Due to using three led light source groups at the light source group method of doing illumination light, effectively expand
The field angle of reconstruction image.Simultaneously as the relatively low method with complex amplitude modulation of LED light source coherence, effectively eliminates speckle,
Substantially increase picture quality.
The above is only a preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered
It is considered as protection scope of the present invention.
Claims (5)
1. a kind of method for the holographic retina image-forming expanding field angle, which is characterized in that include the following steps：
Step 1) calculates the hologram of object.Object is calculated first in the complex amplitude optical field distribution of holographic facet, is then utilized multiple
The coding method of amplitude modulation, by complex amplitude light field amplitude and phase information all encode；
Step 2) determines the parameters in optical system.Using lens imaging principle confirm light source group to spatial light modulator away from
From d1, spatial light modulator to lens distance d2, lens to filter distance d3, lens focal length f, spread out in conjunction with grating
Penetrate the position of spacing p and filter that principle is derived between point light source；
Step 3) lays projection device：By several point light source groups at point light source groups (1), spatial light modulator (2), lens (3),
Filter (4) is laid successively so that point light source groups (1), spatial light modulator (2), lens (3), filter (4) are in same
On straight line, several spherical waves that point light source groups (1) are sent out are incident at different angles in spatial light modulator (2)；Spatial light
Modulator (2) is connected with the computer (5) for generating hologram by data line；
The hologram is transferred in spatial light modulator (2) by step 4) by computer (5), recycles spatial light modulator will
Phase hologram projects in observer's eye of designated position, and observer's eyes are observed after filter.
2. a kind of method of holographic retina image-forming expanding field angle according to claim 1, it is characterised in that：It is described
The specific method is as follows for the phase-only hologram of calculating object in step 1)：
First have to calculate the complex amplitude hologram of object, common methods are angular spectrum diffraction, fresnel diffraction or fractional order Fu
In leaf diffraction GS iterative algorithms, point cloud method.By taking cloud method as an example, it is as follows：
According to shown in such as formula (1), random two-dimensional complex amplitude light field is indicated with following formula：
Wherein, A indicates the distribution of amplitudes of object, and z indicates the radius of curvature of each spherical wave, that is, the object rebuild is to holographic
The distance in face, U indicate the COMPLEX AMPLITUDE of the spherical wave of unit amplitude, are provided by formula (2)：
Wherein λ indicates wavelength；
The sampling condition of spherical wave light field is provided by formula (3)：
Wherein Δ x is the sampling interval in the directions x；
H (x, y, 0) namely complex amplitude holograms, are now write formula (1) as following form：
Wherein amplitude information A (x, y) and phase information
Using doublephase modulation coding methods, that is, according to the principle of resolution of vectors, (4) are decomposed into：
Wherein, B=Amax/ 2 be a constant, AmaxIt is the maximum value of A (x, y)；
θ1(x, y) and θ2(x, y) is obtained by following two formula respectively：
Again by θ1, θ2Sampling synthesis is carried out, a new phase-only hologram is encoded into；
A clinoplain factor is finally added on calculated phase-only hologram, avoids reconstruction image by device zero level
The influence of wave.
3. a kind of method of holographic retina image-forming expanding field angle according to claim 1, it is characterised in that：It is described
The parameters in optical system, specific derivation process are determined in step 2)：
It can be derived by lens imaging formula：
Wherein d1For light source group to spatial light modulator distance, d2For the distance of spatial light modulator to lens, d3For lens to filter
The distance of wave device, f are the focal length of lens；
When a point light source makees lighting source, Observable range d of the human eye to imageW,Be also equal on frequency plane zero order wave with ±
The distance of 1 order diffraction image, is given by：
Its Δ x is the pel spacing of spatial light modulator；
When three point light source groups at light source group make lighting source when, spacing is p two-by-two between light source, can according to the following formula really
It is fixed：
I.e.：
If light source group be by n point light source groups at ,-j order diffraction the waves of 0 grade of wave of i-th of point light source and the i-th+j point light sources
(i is overlapped with the j order diffraction waves of the i-th-j point light sources>j≥0)；Human eye is expanded to nd to the Observable range of image, works as human eye
When observed range s away from frequency plane is remained unchanged, visual field becomes larger with being increased according to point light source quantity, and concrete condition is as follows：
Since lighting source is spherical wave and nonplanar wave, therefore filter is located at a distance after the back focal plane of lens, that is,
The frequency plane (u, v) of phase-only hologram, frequency plane (u, v) are parallel to input face (x0,y0), and two plane coordinates origins
Line is perpendicular to input face (x0,y0) and frequency plane (u, v), the filter range of filter is not fixed value, according to spectrum distribution
Actual conditions are suitably increased and decreased.
4. a kind of method of holographic retina image-forming expanding field angle according to claim 1, it is characterised in that：It is described
It is specific as follows in step 3) laying projection device,
Wherein several point light source groups at light source group (1) be set as laser light source either LED light source；
Its spatial light modulator (2) is set as transmission-type or reflective；If it is transmission-type, optical system ginseng
According to described in step 3)；If it is reflective, then by adding beam splitter between point light source groups (1) and spatial light modulator (2)
Equal optical elements are realized in the method for small angle inclination incidence.
5. a kind of method of holographic retina image-forming expanding field angle according to claim 4, it is characterised in that：It is described
It is specific as follows in step 3) laying projection device,
The lens (3) are set as a convex lens, or are set as one with optical distortions functions such as elimination aberration, aberrations
Lens group；
The filter (4) is set as diaphragm or is set as a complicated filter.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109901370A (en) * | 2019-01-22 | 2019-06-18 | 四川大学 | The optical imagery encipher-decipher method of phase-only hologram and single random phase encoding |
| CN110460756A (en) * | 2019-08-12 | 2019-11-15 | 杭州电子科技大学 | A kind of scene removes rain image processing method and device automatically in real time |
| CN111338194A (en) * | 2018-12-18 | 2020-06-26 | 青岛海信激光显示股份有限公司 | Image correction method, display system, and storage medium |
| CN111624785A (en) * | 2019-02-28 | 2020-09-04 | 绍兴图聚光电科技有限公司 | Method for improving backlight illumination uniformity based on backlight three-dimensional display device |
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| Publication number | Priority date | Publication date | Assignee | Title |
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Application publication date: 20180928 |