CN106842575B - A kind of augmented reality holography display methods based on complex amplitude modulation - Google Patents
A kind of augmented reality holography display methods based on complex amplitude modulation Download PDFInfo
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Abstract
The invention discloses a kind of augmented reality holography display methods based on complex amplitude modulation, it include: 1) to lay point light source, phase type spatial light modulator, lens and filtering diaphragm, the light wave for issuing point light source successively passes through phase type spatial light modulator, lens and filtering diaphragm；2) parameter of complex amplitude light field is obtained；3) complex amplitude light field is encoded using the complex amplitude modulator approach that quarter-phase is decomposed, obtains encoded phase-only hologram；4) phase-only hologram of coding is transferred in phase type spatial light modulator, the light wave for issuing point light source projects after carrying out phase-modulation in phase type spatial light modulator, and realization reconstruction image is superimposed with reality scene.Method of the invention can modulate the speckle issue avoided in random phase bring holographic imaging by complex amplitude, enhance picture contrast, while by using spot light, can increase the depth of field and the visual angle of imaging.
Description
Technical field
The present invention relates to a kind of holographic display methods, especially a kind of augmented reality holography based on complex amplitude modulation is shown
Method.
Background technique
Augmented reality is by dummy object, scene or the system prompt information superposition of computer generation to real world
In scene, enhance perception of the user to real world.With the continuous development of this project, a series of use have nowadays been had already appeared
The technology and product shown in augmented reality, wherein the Hololens of Microsoft is based on diffraction-type head-up display principle, and use is advanced
Sensor, miniature high-resolution high contrast Minitype digital optical processor project (DLP Pico) technology, realize preferably
Augmented reality display effect.However, very three-dimensional, big visual angle is realized on wearable device due to the limitation of technology and device,
The augmented reality calculated in real time shows that there is also some obstacles.
Holography based on complex amplitude modulation is a kind of technology that can rebuild object complex amplitude light field, by the skill
Art is applied to the depth of field that augmented reality display system can be improved display content, reduces the fatigue that human eye frequently focuses.Meanwhile benefit
It uses point light source that can effectively increase field angle as light source, alleviates traditional small nothing of diffraction-type augmented reality head up display system field angle
The problem of depth of field.Diffraction efficiency can be greatly improved using phase type spatial light modulator, while making imaging system lighter
Just it is suitable for wearable device.
Summary of the invention
Goal of the invention: it is an object of the present invention to provide a kind of augmented reality holography display methods based on complex amplitude modulation, should
Method can modulate the speckle issue avoided in random phase bring holographic imaging by complex amplitude, enhance picture contrast,
The depth of field and the visual angle that by using spot light, can increase imaging simultaneously, are applicable to the holographic imaging calculated in real time.
Technical solution: the augmented reality holography display methods of the present invention based on complex amplitude modulation, including following step
It is rapid:
1) point light source, phase type spatial light modulator, lens and filtering diaphragm are laid, the light wave for issuing point light source is successively
By phase type spatial light modulator, lens and filtering diaphragm；
2) according to final reconstruction image, obtain the complex amplitude light field generated needed for phase type spatial light modulator position,
Amplitude and phase parameter；
3) according to resolution of vectors principle, the light vector of each pixel of complex amplitude light field is decomposed into two pure phase positions
Value, obtains and equal-sized two phase-only holograms of original image；Two phase-only holograms are carried out using gridiron pattern pattern
Sampling synthesis obtains encoded pure phase hologram plus the slant plane wave factor on the phase-only hologram that synthesis obtains
Figure；
4) the encoded phase-only hologram for obtaining step 3) is transferred in phase type spatial light modulator, makes light
The light wave that source issues projects after in phase type spatial light modulator carrying out phase-modulation, realization reconstruction image and reality scene
Superposition.
Wherein, it is equipped with waveguide or the first Amici prism between lens and filtering diaphragm, passes through waveguide or the first Amici prism
Realization reconstruction image is superimposed with reality scene；Phase type spatial light modulator is reflective phase type spatial light modulator, point
The light wave that light source issues reaches reflective phase type spatial light modulator through reflecting mirror or the second Amici prism.
In order to avoid reconstruction image is influenced by device zero order wave, filtering diaphragm is adjusted according to the slant plane wave factor
Position and size make to filter diaphragm rectangular filter diaphragm, and filtering diaphragm is located at the frequency plane (u, v) of phase-only hologram, i.e.,
Imaging surface of the point light source about lens, frequency plane (u, v) are parallel to spatial light modulator plane (x, y) and lens plane, frequency spectrum
On the same line, the straight line is vertical for face (u, v) origin (0,0) and lens centre, spatial light modulator center and point light source
In frequency plane (u, v), the positive direction of (u, v) reference axis and the positive direction of spatial light modulator plane coordinates axle (x, y) are identical；Filter
The position coordinates at glistening light of waves door screen center areThe size of rectangular filter diaphragm is u axis directionv
Axis directiond1For the vertical optical path distance of point light source and phase type spatial light modulator, d2For phase type sky
Between optical modulator at a distance from lens, d3It is filtering diaphragm at a distance from lens, d3By lens imaging formula
It obtains.
In step 2), the method for the position of acquisition complex amplitude light field specifically:
Calculate the diffraction distance l of complex amplitude light field and phase type spatial light modulator1:
Wherein, l2=d1, it is the vertical optical path distance of point light source and phase type spatial light modulator；l3It is obtained by following formula:
Wherein, d2It is phase type spatial light modulator at a distance from lens, f is the focal length of lens, d3For lens to filtering light
The distance of door screen, d3By lens imaging formulaIt obtains, d4It is final reconstruction image at a distance from human eye.
In step 3), gridiron pattern pattern is M1(iΔx0, j Δ y0)、M2(iΔx0, j Δ y0) pattern, M1(iΔx0, j Δ
y0) and M2(iΔx0, j Δ y0) meet:
M1(iΔx0, j Δ y0)+M2(iΔx0, j Δ y0)=1
Wherein, Δ x0、Δy0For the pel spacing of spatial light modulator, i, j are the label of pixel, i ∈ (1, N), j ∈
(1, M), i, j are integer.
Obtaining complex amplitude isOutput face, resolution ratio is the input of M × N after pixelation
The pure phase code formula in face (x, y) are as follows:
φ(iΔx0, j Δ y0)=M1(iΔx0, j Δ y0)θ1(iΔx0, j Δ y0)
+M2(iΔx0, j Δ y0)θ2(iΔx0, j Δ y0)+2πiΔx0sinα/λ
Wherein, A (x, y) indicates the amplitude of complex amplitude light field,Indicate the phase of complex amplitude light field；φ(iΔx0, j
Δy0) it is the phase value for being input to spatial light modulator, Δ x0、Δy0For the pel spacing of spatial light modulator, 2 π i Δ x0sin
α/λ is the slant plane wave factor to tilt,λ is the label that optical wavelength i, j are pixel, i
∈ (1, N), j ∈ (1, M), i, j are integer, θ1(iΔx0, j Δ y0) and θ2(iΔx0, j Δ y0) obtained by following two formula:
AmaxFor the maximum value of A (x, y).
The utility model has the advantages that method of the present invention has the advantages that
1, reconstruction image speckle is eliminated.Present invention uses complex amplitude modulation method, can simultaneously modulation image vibration
Width and phase avoid in rebuilding light field compared with traditional GS iterative algorithm that can only rebuild target amplitude due to adjacent
Coherent interference between pixel generates additional intensity pattern, i.e. speckle noise, substantially increases picture quality.
2, avoid reconstruction image by the influence of device zero order wave.Present invention slant plane wave according to added by hologram because
The position of son setting filtering diaphragm and size, after adding the slant plane wave factor, zero order wave and the complex amplitude coding of device are complete
The zero order wave for ceasing figure image can be separated in frequency plane, and when filtering in the zero level information for filtering out hologram while can avoid device
The interference of part zero level noise, system does not need to lay polarizing film, while image is not covered by zero order wave, and picture contrast increases
By force.
3, compared with general resolution of vectors complex amplitude modulator approach, complex amplitude modulator approach of the invention will not change figure
The size in face.According to the principle of resolution of vectors, a vector can always be decomposed into two vectors that amplitude is identical, phase is different
Superposition.Therefore, the reconstruction image that n × n is obtained in traditional resolution of vectors complex amplitude modulator approach just at least needs 2n × n big
Small complex amplitude code pattern, so that image size at least reduces one times.And the chessboard trellis coding that this complex amplitude modulator approach uses
Mode, the size and complex amplitude code pattern size of reconstruction image are identical.
4, it can be improved the depth of field of display content using point light source, reduce the fatigue that human eye frequently focuses, while can have
Effect increases field angle, alleviates the small problem of traditional diffraction-type augmented reality head up display system field angle.
5, compared to the holographic calculation method of conventional iterative optimization, method proposed by the present invention is not necessarily to iteration, greatly shortens
Hologram calculates the time, is applicable to the holographic imaging calculated in real time.
Detailed description of the invention
Fig. 1 is the index path that the light wave that point light source issues injects human eye after phase modulation of spatial light modulators；
Fig. 2 is final reconstruction image (institute is at the virtual image), point light source, spatial light modulator, the meta position of lens and imaging surface
Set relation schematic diagram；
Fig. 3 is the index path using display system when reflective phase type spatial light modulator.
Specific embodiment
Embodiment 1
Augmented reality holography display methods based on complex amplitude modulation, comprising the following steps:
(1) display system is laid.
As shown in Figure 1, point light source 2, phase type spatial light modulator 3, lens 4 and filtering diaphragm 5 are successively laid, light is put
Positional relationship between source 2, lens 4 and filtering diaphragm 5 meets imaging formula, spatial light modulator 3 and generation phase hologram
Computer 1 pass through data line connect.The spherical wave that point light source 2 issues injects phase type spatial light modulator 3, then successively passes through
It crosses lens and filtering diaphragm enters human eye.The location of phase type spatial light modulator 3 forms input plane (x, y), diaphragm
Positioned at frequency plane (u, v).
It is as shown in Figure 3 using the augmented reality display system of reflective phase type spatial light modulator: what point light source 2 issued
Spherical wave enters spatial light modulator 3 by the second Amici prism 7, and the light field through ovennodulation successively passes through the light splitting of lens 4, first
Prism 8 and filtering diaphragm 5 enter human eye, and the reality scene of 8 other side of the first Amici prism also enters by the first Amici prism 8
Human eye realizes the display effect of augmented reality.
(2) light modulation of phase type space is obtained in conjunction with optical system parameter according to the position of final reconstruction image and content
Position, amplitude and the phase parameter of the complex amplitude light field generated needed for device.
Calculate the complex amplitude light field generated needed for phase type spatial light modulator 3 and point light source 2, facies pattern spatial light modulator
3, the distance between lens 4 and plane 6 where final reconstruction image relationship are as shown in Figure 2.Wherein, final reconstruction image tool
Body refers to the complex amplitude light field generated of phase type spatial light modulator 3 by the virtual image formed by lens 4.
Determine diffraction distance method particularly includes:
Assuming that be d apart from human eye distance4The plane 6 at place is at a final reconstruction image, then multiple when computed hologram
The distance l of amplitude Diffraction of Light1Are as follows:
Wherein l2=d1, vertical optical path distance between point light source 2 and phase type spatial light modulator 3, l3It is practical multiple
Diffraction distance between amplitude light field and spatial light modulator, l3It is provided by formula (2)
Wherein d2The vertical optical path distance of lens 4 is arrived for phase type spatial light modulator 3, f is the focal length of lens 4, d3It is saturating
Vertical optical path distance (imaging surface that due to filtering diaphragm 5 is located at point light source, d of the mirror 4 to point light source imaging3Also it is
Vertical optical path distance of the mirror 4 to filtering diaphragm 5), d3By lens imaging formulaIt obtains.
The method of the amplitude and phase parameter that obtain the complex amplitude light field generated needed for phase type spatial light modulator is specific
Are as follows:
If the image that target generates is U (ξ, η)=A (ξ, η) e0, plane is that wherein phase is even phase, can be set as
0.The complex amplitude light field then generated needed for spatial light modulator is by taking fresnel diffraction as an example are as follows:
Wherein z=-l1, k is wave number, and λ is wavelength, and j is imaginary unit, and (ξ, η) is the seat of the corresponding image surface with (x, y)
Mark.
(3) complex amplitude light field is encoded using the complex amplitude modulator approach that quarter-phase is decomposed.
As shown in table 1, according to resolution of vectors principle, the light vector of each pixel of complex amplitude light field is decomposed into two pure phases
Place value, obtain with equal-sized two phase-only holograms of original image, using gridiron pattern pattern to two phase-only holograms into
It is complete to obtain encoded pure phase position plus the slant plane wave factor on the phase-only hologram that synthesis obtains for row sampling synthesis
Breath figure.
Complex amplitude light field is encoded to phase-only hologram, and the specific method is as follows.
Random two-dimensional complex amplitude light field can be indicated with formula (4):
In formula (4), A (x, y) indicates the amplitude of complex amplitude light field,Indicate the phase of complex amplitude light field.According to arrow
The principle decomposed is measured, any one vector can be synthesized by two equal vectors of mould, so as to obtain following formula:
In formula, B=Amax/ 2 be a constant, AmaxIt is the maximum value of A (x, y), θ1(x, y) and θ2(x, y) is respectively by following
Two formulas obtain:
It is assumed that obtain complex amplitude and beOutput face, resolution ratio is M × N's after pixelation
The pure phase code formula of input face (x, y) are as follows:
In formula (8), Δ x0、Δy0For the pel spacing of spatial light modulator, i, j are the label of pixel, i ∈ (1, N), j
∈ (1, M), i, j are integer.The quarter-phase complex amplitude coding method that the present invention uses it can be seen from above-mentioned coding result is not necessarily to
Additional pixel is sacrificed, i.e., the reconstruction image that obtain n × n only needs the complex amplitude code pattern of n × n size.φ(iΔx0, j
Δy0) it is the phase value for being input to spatial light modulator, θ1(iΔx0, j Δ y0) and θ2(iΔx0, j Δ y0) by formula (9) and formula
(10) it determines；M1(iΔx0, j Δ y0) and M2(iΔx0, j Δ y0) determined by formula (11) and formula (12):
M1(iΔx0, j Δ y0) and M2(iΔx0, j Δ y0) meet equation always:
M1(iΔx0, j Δ y0)+M2(iΔx0, j Δ y0)=1 (13)
In general, also by M1(iΔx0, j Δ y0)、M2(iΔx0, j Δ y0) pattern be referred to as gridiron pattern.2πiΔx0 sinα/λ
For the slant plane wave factor to tilt, method is specifically determined are as follows:
The resolution ratio of spatial light modulator is denoted as MM × NN, and the resolution ratio of the phase-only hologram of input face (x, y) is less than
Equal to the resolution ratio of spatial light modulator, region other than the phase-only hologram of coding, spatial light modulator all pixels
Phase value be set as π；The angle of slant plane wave factor wave vector and horizontal direction is α, by adopting for phase type spatial light modulator 3
Sample spacing determines, since α is smaller, so sin α ≈ tan α, usually desirableWherein Δ x0For spatial light
Modulator x-axis direction, that is, horizontal direction pel spacing, λ is optical wavelength.
Table 1
4) computer is transferred to phase type space by the encoded phase-only hologram that data line obtains step 3)
In optical modulator 3, the light wave for issuing point light source 2 projects after carrying out phase-modulation in phase type spatial light modulator 3, realizes
Reconstruction image is superimposed with reality scene.
5) position and the size that filtering diaphragm is adjusted according to the slant plane wave factor, make the zero order wave of hologram through filtering
Diaphragm, while the zero level wave interference of spatial light modulator is blocked, it is imaged on the human eye retina for being close to filtering diaphragm.
The position of diaphragm 5 is filtered by the inclination alpha of the slant plane wave factor, phase type spatial light modulator 3 and point light source 2
Distance d1, phase type spatial light modulator 3 arrive lens 4 distance d2And the focal length f of lens 4 is determined；The light modulation of phase type space
3 size of device is according to sampling thheorem by the x-axis direction (horizontal direction) of phase type spatial light modulator 3 and y-axis direction (vertical side
To) pel spacing Ax0、Δy0, wavelength X and d1, d2, f is determined, specifically determines method are as follows:
Filtering diaphragm is located at the frequency plane (u, v) of phase-only hologram, i.e. imaging surface of the point light source about lens, frequency plane
(u, v) is parallel to spatial light modulator plane (x, y) and lens plane, the origin (0,0) of frequency plane (u, v) and lens centre,
On the same line, the straight line is perpendicular to frequency plane (u, v), (u, v) reference axis for spatial light modulator center and point light source
Positive direction and spatial light modulator plane coordinates axle positive direction (x, y) it is identical；Filtering diaphragm center position coordinates beThe size of rectangular filter diaphragm is u axis directionV axis directiond1For
The vertical optical path distance of point light source and phase type spatial light modulator 3, d2It is vertical with lens for phase type spatial light modulator
Optical path distance, d3For the vertical optical path distance for filtering diaphragm and lens, d3By lens imaging formulaIt obtains.
In the present invention, encoded phase-only hologram is loaded into phase type spatial light modulator 3 by computer 1,
The light emission applying aspect type spatial light modulator 3 that point light source 2 issues, light wave carries out phase-modulation in phase spatial light modulator 3
After project, after lens 4, through filtering diaphragm 5 be filtered, make first-order diffraction through filtering diaphragm 5, human eye be close to filter
Glistening light of waves door screen can see the virtual image of no speckle.
Embodiment 2
Display system is obtained using structure shown in Fig. 3.That is, computer 1 passes through data line and reflective phase type space
Optical modulator 3 is connected, reflective phase type spatial light modulator 3, the second Amici prism 7, lens 4, the first Amici prism 8, filter
Glistening light of waves door screen 5 is set gradually, and point light source 2 is located at 7 top of the second Amici prism.The relative position that above each optical element is arranged makes
The light that point light source 2 issues injects reflective phase type spatial light modulator 3 by the light splitting of the second Amici prism 7, then successively passes through
Second Amici prism 7, lens 4, the first Amici prism 8 and filtering diaphragm 5.
Point light source 2 uses LED point light source, issues the green light that wavelength is about 532 nanometers by LED point light source and is projected；
The phase spatial light modulator Holoeye Pluto that phase type spatial light modulator 3 is produced using Holoeye company of Germany,
Specification is 1920 × 1080 pixels, and pel spacing is 8 microns, i.e. Δ x0=Δ y0=8 μm；The focal length f of lens 4 is 0.1 meter.
Rectangular filter diaphragm is located at the frequency plane (u, v) of phase-only hologram, and frequency plane (u, v) is parallel to space light modulation
Device plane (x, y) and lens plane, the origin (0,0) and lens centre, spatial light modulator center and point of frequency plane (u, v)
On the same line, for the straight line perpendicular to frequency plane (u, v), the positive direction and spatial light modulator of (u, v) reference axis are flat for light source
The positive direction (x, y) of areal coordinate axis is identical；Vertical optical path distance d of the LED point light source apart from phase type spatial light modulator 31For
0.05 meter, the vertical optical path distance d of phase type spatial light modulator 3 and lens 42It is 0.13 meter, then encodes inclination in formula (8)
The tilt angle of plane is sin α ≈ 0.02351.
The coordinate at 5 center of rectangular filter diaphragm is (1.47mm, 0), the size of rectangular filter diaphragm 5 be 1.47mm ×
1.47mm。
In the display system, phase space light modulation is loaded by computer 1 by the phase-only hologram of coding
In device 3, the light that point light source 2 issues injects phase type spatial light modulator 3 by the light splitting of the second Amici prism 7, and light wave is in phase
It is projected after carrying out phase-modulation in type spatial light modulator 3, after lens 4, the first Amici prism 8 is injected, by filtering
Diaphragm 5 is filtered, and human eye is close to filtering diaphragm 5 it can be seen that the virtual image and 8 other side of the first Amici prism without speckle are true
The augmented reality of scene fusion shows result.
If final reconstruction image (i.e. institute is at the virtual image) is 0.625 meter at a distance from human eye, then Diffraction Calculation complex amplitude light field
Distance l apart from phase type spatial light modulator 31It is 0.025 meter.
According to parameter determined above, it is complete that pure phase position is obtained after coding using method described in 1 step of embodiment (3)
Breath figure.Obtained phase-only hologram is loaded into spatial light modulator 3 by computer 1, it will be able to be obtained accordingly in plane 6
The virtual image of reconstruction.Method due to having used complex amplitude to modulate, effectively eliminates speckle, substantially increases picture quality.Meanwhile
Due to having used LED point light source as light source, the image widened depth of field and visual angle simultaneously have been further smoothed.
Claims (8)
1. a kind of augmented reality holography display methods based on complex amplitude modulation, which comprises the following steps:
1) point light source, phase type spatial light modulator, lens and filtering diaphragm, the light wave for issuing point light source is laid successively to pass through
Phase type spatial light modulator, lens and filtering diaphragm；
2) according to final reconstruction image, position, the amplitude of the complex amplitude light field generated needed for phase type spatial light modulator are obtained
And phase parameter；
3) according to resolution of vectors principle, the light vector of each pixel of complex amplitude light field is decomposed into two pure phase place values, is obtained
To with equal-sized two phase-only holograms of original image；Two phase-only holograms are adopted using gridiron pattern pattern
Sample synthesis obtains encoded phase-only hologram plus the slant plane wave factor on the phase-only hologram that synthesis obtains；
4) the encoded phase-only hologram for obtaining step 3) is transferred in phase type spatial light modulator, sends out point light source
Light wave out projects after carrying out phase-modulation in phase type spatial light modulator, realizes the folded of reconstruction image and reality scene
Add；
In step 2), the method that obtains the position of the complex amplitude light field are as follows:
Calculate the diffraction distance l of the complex amplitude light field and phase type spatial light modulator1:
Wherein, l2=d1, it is the vertical optical path distance of point light source and phase type spatial light modulator；l3It is obtained by following formula:
Wherein, d2For the vertical optical path distance of phase type spatial light modulator and lens, f is the focal length of lens, d3For lens to filter
The vertical optical path distance of glistening light of waves door screen, d3By lens imaging formulaIt obtains, d4For final reconstruction image and human eye
Vertical optical path distance.
2. passing through the method according to claim 1, wherein being equipped with waveguide between the lens and filtering diaphragm
The waveguide realization reconstruction image is superimposed with reality scene.
3. the method according to claim 1, wherein the phase type spatial light modulator is reflective phase type
Spatial light modulator, the light wave that point light source issues reach reflective phase type spatial light modulator through reflecting mirror.
4. the method according to claim 1, wherein adjusting the filtering light according to the slant plane wave factor
The position of door screen and size make the zero order wave of hologram through the filtering diaphragm, while blocking the zero order wave of spatial light modulator
Interference is imaged on the human eye retina for being close to the filtering diaphragm.
5. according to the method described in claim 4, it is characterized in that, the filtering diaphragm is rectangular filter diaphragm, filtering diaphragm
Positioned at the frequency plane (u, v) of phase-only hologram, the frequency plane be parallel to phase type spatial light modulator plane (x, y) and thoroughly
Mirror plane, the frequency plane origin (0,0) and lens centre, phase type spatial light modulator center and point light source are the same as always
On line, the straight line is perpendicular to the frequency plane, the positive direction and phase type spatial light modulator plane coordinates of (u, v) reference axis
The positive direction of axis (x, y) is identical.
6. according to the method described in claim 5, it is characterized in that, the position coordinates at the filtering diaphragm center areThe size for filtering diaphragm is u axis directionV axis directiond1For point
The vertical optical path distance of light source and phase type spatial light modulator, d2For the vertical optical path of phase type spatial light modulator and lens
Distance, d3For the vertical optical path distance for filtering diaphragm and lens, d3By lens imaging formulaIt obtains；Wherein,
Δx0、Δy0For the pel spacing of spatial light modulator.
7. the method according to claim 1, wherein the gridiron pattern pattern is M in step 3)1(iΔx0,jΔ
y0)、M2(iΔx0,jΔy0) pattern, M1(iΔx0,jΔy0) and M2(iΔx0,jΔy0) meet:
M1(iΔx0,jΔy0)+M2(iΔx0,jΔy0)=1
Wherein, Δ x0、Δy0For the pel spacing of spatial light modulator, i, j are the label of pixel, i ∈ (1, N), j ∈ (1,
M), i, j are integer.
8. the method according to claim 1, wherein the complex amplitude light field indicates are as follows:
Wherein, A (x, y) indicates the amplitude of complex amplitude light field,Indicate the phase of complex amplitude light field；
Resolution ratio is the pure phase code formula of the input face (x, y) of M × N after pixelation are as follows:
φ(iΔx0,jΔy0)=M1(iΔx0,jΔy0)θ1(iΔx0,jΔy0)
+M2(iΔx0,jΔy0)θ2(iΔx0,jΔy0)+2πiΔx0sinα/λ
Wherein, φ (i Δ x0,jΔy0) it is the phase value for being input to spatial light modulator, Δ x0、Δy0For spatial light modulator
Pel spacing, 2 π i Δ x0Sin α/λ is the slant plane wave factor to tilt,λ is light wave wave
Long, i, j are the label of pixel, and i ∈ (1, N), j ∈ (1, M), i, j are integer, θ1(iΔx0,jΔy0) and θ2(iΔx0,jΔ
y0) obtained by following two formula:
AmaxFor the maximum value of A (x, y).
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| CN113658330B (en) * | 2021-08-17 | 2024-03-19 | 东南大学 | Holographic encoding method based on neural network |
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