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WO2011150863A1 - Holographic wave guide display and generation method of holographic image thereof - Google Patents

Holographic wave guide display and generation method of holographic image thereof Download PDF

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Publication number
WO2011150863A1
WO2011150863A1 PCT/CN2011/075268 CN2011075268W WO2011150863A1 WO 2011150863 A1 WO2011150863 A1 WO 2011150863A1 CN 2011075268 W CN2011075268 W CN 2011075268W WO 2011150863 A1 WO2011150863 A1 WO 2011150863A1
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Prior art keywords
waveguide
image
holographic
light
hologram
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PCT/CN2011/075268
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French (fr)
Chinese (zh)
Inventor
谈顺毅
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江苏慧光电子科技有限公司
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Publication of WO2011150863A1 publication Critical patent/WO2011150863A1/en

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    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/22Processes or apparatus for obtaining an optical image from holograms
    • G03H1/2202Reconstruction geometries or arrangements
    • G03H1/2205Reconstruction geometries or arrangements using downstream optical component
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/22Processes or apparatus for obtaining an optical image from holograms
    • G03H1/2294Addressing the hologram to an active spatial light modulator
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H2223/00Optical components
    • G03H2223/16Optical waveguide, e.g. optical fibre, rod

Definitions

  • the present invention relates to an image display apparatus and method, and relates to a holographic waveguide display using a planar waveguide as a display screen and a method of generating a holographic image adapted to the holographic waveguide display.
  • Holographic display technology is a technique that converts an image into a diffraction pattern at a particular distance and illuminates the diffraction pattern using one or more monochromatic sources. After a certain distance of propagation, the diffraction pattern can be reduced to the original target image due to the diffraction and interference effects of light. Compared to ordinary projection and liquid crystal display technology, holographic projection has the following advantages:
  • the holographic display modulates and directs light. In theory, all incident light energy will be effectively utilized. According to statistics, the utilization rate of light energy of liquid crystal display is between 10 and 20%, while the holographic display using bin-phase modulation technology has a utilization rate of more than 40%, and multi-phase modulation technology (multi- Phase modulation ) can increase the utilization of light energy to over 90%.
  • the laser source or photodiode source used in holographic projection has a very high energy conversion efficiency compared to the white light bulb used in conventional projection technology.
  • the aberration of the displayed image can be corrected by the computational hologram itself, thereby eliminating the need for a large and complex and expensive lens system for correcting the phase difference.
  • the holographic projector uses three monochromatic sources of red and green baskets, and the chromatic aberration correction is much simpler than the ordinary projection using white light containing all spectra.
  • the traditional display technology displays the correspondence between the image and the projection chip or the display screen and the display image. If there is a dead pixel on the chip or the screen, the display image will have a bad point.
  • the holographic projection shows a specially calculated hologram on the Spatial Light Modulator (SLM).
  • SLM Spatial Light Modulator
  • the basic principle is that the screen will never produce a dead pixel.
  • a pixel point of a holographic image corresponds to a certain spectral information on the screen image instead of a specific pixel point.
  • the spatial light modulator resolves to 1000x1000, a total of 1 million pixel points, the upper one of the dead pixels is caused by the displayed image.
  • the change is 1 in 1 million without corresponding dead pixels, which is invisible to the naked eye, even if there are hundreds of dead pixels on the spatial light modulator. Its effect on the displayed image is only a few thousandths, which is hard to detect by the naked eye.
  • a tapered waveguide display using a conventional projector is reported in the patent CN1217539C, which has the advantage that the optical path required for conventional projection can be omitted, and its thickness is thinner than that of a conventional rear projection display, and can be compared with a liquid crystal plasma.
  • the display is comparable. Since the waveguide can be made of inexpensive optical glass or transparent plastic plate, compared with conventional flat panel display technologies such as liquid crystal and plasma, the cost of producing a large-sized screen will be very low. In addition, since the waveguide itself does not contain any electronic components, the waveguide display is more robust and durable than liquid crystal, plasma, photodiode and the like. However, the conventional waveguide display uses conventional projection. In order to correct the phase difference chromatic aberration, the structure of the waveguide is complicated and not easy to manufacture. In addition, the bulky size of conventional projectors and complex lens systems limit their use in waveguide displays. Summary of invention
  • the technical problem to be solved by the present invention is to provide a holographic waveguide display capable of displaying a holographic image while using a waveguide as a display carrier, which can be manufactured into a large screen, low in cost, energy saving, environmentally friendly, and durable, and the holographic waveguide display A method of generating an adapted holographic image.
  • the holographic waveguide display of the present invention comprises a waveguide as a display screen and a holographic projection system for inputting a holographic image to the waveguide;
  • the waveguide has a light input surface and a light output plane, and the incident light can propagate in the waveguide until it is output from the light
  • the plane leaves the waveguide, and the exit position of the light on the light output plane is determined by the position of the incident point on the incident surface and the incident angle.
  • the initial shape of the side surface of the waveguide is triangular, and the front end apex angle is ⁇ .
  • the unnecessary portion of the front end can be cut off to make it a wedge shape, and the rear end thereof is a light input surface at an angle ⁇ with the front light output plane. .
  • the first half of the waveguide is a display area
  • the second half is an image diffusion area
  • the image diffusion area can be folded to the back of the display area to save space.
  • the holographic projection system includes a light source, a light source modulation module for phase or intensity modulating the light source and outputting a desired image.
  • the holographic projection system also includes a light source expansion correction module located between the light source and the input portion of the light source modulation module.
  • the holographic projection system can also include an image magnification correction module located at an output portion of the light source modulation module.
  • the holographic projection system further includes a control module, the control module controls the switch of the light source and the output strength.
  • the control module can accept the input image and output accordingly. Holographic image to light source modulation module and synchronized with the light source output.
  • the control module can also include a holographic image generation module for synchronously converting normal images into holographic images.
  • a holographic image generation module for synchronously converting normal images into holographic images.
  • the control module includes a holographic image generation module, it can receive a normal image and convert it into a holographic image; when the control module does not include the holographic image generation module, it can directly receive the holographic image generated by the external system.
  • the holographic image generating method of the present invention adapted to the wedge waveguide described above operates in the holographic image generating module or the external system described above, and the holographic image generating module or external system may be a single chip microcomputer, a digital chip (DSP), or a field programmable gate array. Electronic chip or computer such as (FPGA).
  • DSP digital chip
  • FPGA field programmable gate array
  • the holographic image generating method of the present invention adapted to the above wedge waveguide includes an inverse waveguide transform, and the inverse transform of the waveguide includes the following steps:
  • steps (6) to (7) may be replaced by the following steps: a. Calculating and compensating for the effects caused by different interfaces;
  • the holographic image generating method of the present invention may further be: first calculating an hologram by inverse transform of the input image, quantizing the hologram, and then calculating the quantized hologram in the light output plane by using a waveguide transform. Amplitude and phase, take its phase, and add to the original input image; recalculate the hologram; repeat the above steps until the set number of times is satisfied, and then output the obtained hologram to the light source modulation module; The following steps:
  • steps (1) to (2) may be replaced by the following steps:
  • the holographic image is inversely transformed by Fourier transform or Fourier transform to obtain the angular spectrum, and is divided into one or more bands to obtain the angular spectrum of each band;
  • steps (3) and (4) can be interchanged.
  • the holographic image generating method of the present invention can also quickly display the multi-frame nuance image in a short time by using the holographic image outputted to the illuminating module of the light source, and utilize the residual effect of the human eye to make it The superposition on the retina is used to reduce the error.
  • the specific steps are as follows:
  • step (7) judging whether the display of all the sub-frames of the image is completed, if yes, inputting the next frame image, jumping back to step (1); if otherwise, performing the waveguide transformation, comparing the amplitude of the obtained image with the amplitude of the original input image, according to The resulting error modifies the intensity of the original input image and jumps back to step (2).
  • the holographic waveguide display of the invention has the advantages of small volume, low cost, energy saving, stable and not easy to be damaged.
  • the present invention is combined with the waveguide display to make the product have a screen, which eliminates the optical path space required by the projector, and is similar in appearance and use to a conventional flat panel display.
  • the combination of waveguides allows the product to be retrofitted into future applications for touch screens, transparent displays, 3D displays and more.
  • FIG. 1 is a schematic structural view of an embodiment of a holographic waveguide display of the present invention showing a side structure of a waveguide;
  • FIG. 2 is a schematic plan view of the structure of FIG.
  • Figure 3 is a structural schematic view showing another embodiment of the holographic waveguide display of the present invention showing the side structure of the waveguide;
  • Figure 4 is a top plan view of Figure 3;
  • Figure 5 is a schematic diagram of a holographic projection system in accordance with one embodiment of the present invention.
  • FIG. 6 is a schematic diagram of a holographic projection system according to another embodiment of the present invention.
  • Figure 7 is an executable light path diagram of the schematic diagram of Figure 6;
  • Figure 8 is a schematic diagram of holographic image generation of a wedge waveguide
  • Figure 9 is a flow chart of the inverse transform of the waveguide
  • Figure 10 is a flow chart of waveguide conversion
  • Figure 11 is a schematic diagram of a method of reducing holographic image errors.
  • Figure 12 shows a schematic view of an isotherm of a waveguide of the present invention. Detailed description of the invention
  • the holographic waveguide display of the embodiment of the present invention includes a waveguide 11 as a display screen and a holographic projection system 12 for inputting a holographic image to the waveguide.
  • the shape of the waveguide can be as shown in Fig. 1.
  • the initial shape of the side surface is triangular, and the apex angle of the front end is ⁇ . To save material, the useless part of the front end can be cut off to make it a wedge shape.
  • the back end of the waveguide is calculated. It can be designed as a plane at an angle ⁇ with the exit surface. In other words, in this embodiment, the light output plane of the waveguide of the present invention forms a fixed angle with the bottom surface, i.e., 01.
  • the top view can be rectangular, triangular, or other shape that is easy to display.
  • the latter half serves as an image diffusion area 111 (light propagation area), and the front half serves as a display area 112 for displaying an image.
  • the rear half can also be folded to the back of the front half to save space ( Figure 3, Figure 4).
  • the shape of the waveguide display is the same as that of a normal flat panel display.
  • There is an interface between the image diffusion area and the screen which can be air. Or special media to ensure that light is only reflected on this interface without exiting.
  • An anti-reflection coating anti-reflective film
  • the waveguide of the present invention is a wedge-shaped plate in which a thick line is a straight line (broken line shown in Fig. 12).
  • a thick line is a straight line (broken line shown in Fig. 12).
  • the waveguide of the present invention can be applied to a holographic projection system by adopting the above-mentioned wedge-shaped plate having a straight line, and the wedge waveguide having a straight isotropic line does not generate astigmatism and the like, and the shape is different from the conventional tapered waveguide.
  • the holographic projection system includes the following parts:
  • the light source uses a monochromatic light source such as a laser or photodiode. Color images can be obtained by using three monochromatic sources of red, green, and basket.
  • Light source expansion correction module and image magnification correction module are used to expand and correct the laser and to amplify and correct the output image of the light source modulation module.
  • the expanded light source can be corrected for parallel light.
  • the light modulation module is illuminated and a lens system is used to amplify the output hologram.
  • This module is used to phase or intensity the light source and output the desired image. It can be a liquid crystal on silicon system chip (LCOS), a digital micromirror device (DMD), or a hologram, a grating array, or the like. If a liquid crystal system chip (LCOS) or a digital micromirror device (DMD) is used, the hologram displayed thereon can be switched at high speed through the control module, thereby realizing the output of the dynamic video stream.
  • LCOS liquid crystal on silicon system chip
  • DMD digital micromirror device
  • Control module The control module is used to control the switch and output strength of the light source. It can be composed of electronic chips and circuits such as single chip microcomputer, digital chip (DSP), field programmable gate array (FPGA). If the spatial light modulation module uses a liquid crystal on silicon system chip (LCOS), a digital micromirror device (DMD), etc., to convert the device on which the image is displayed, the control module will accept the input image and output the hologram to the spatial light accordingly. Modulate the module and synchronize it with the output of the light source.
  • LCOS liquid crystal on silicon system chip
  • DMD digital micromirror device
  • the control module will include a hologram generating module to realize real-time synchronous conversion of the ordinary video to the hologram, and then output the generated hologram to the spatial light modulation module, and keep the light source synchronized with it (eg Figure 5 ).
  • this module may not contain a hologram conversion module.
  • the control module directly outputs the input holography image to the spatial light modulation module, and keeps the intensity of the light source synchronized with the corresponding image (Fig. 6), and the conversion process of the normal video stream to the hologram video stream can be completed by an external computer.
  • FIG 7 shows a possible specific implementation of the optical path of the schematic shown in Figure 5.
  • the light source uses three kinds of monochromatic lasers of red, green and basket, and the source beam expansion correction and image enlargement correction module are composed of lenses 1 to 5.
  • the lenses 1, 2, and 3 are light source correction lenses, and the corresponding light sources are converted from non-planar waves to plane waves.
  • the lenses 4, 5 form an inverse telescope structure for amplifying the holographic image output by the light source modulation module.
  • the spatial light modulation module enables phase modulation of light by using a liquid crystal on-chip (LCOS) on the silicon to add a polarizer.
  • the control module uses a digital chip (DSP) or a field programmable gate array (FPGA) to realize the function of converting the input ordinary image into a holographic image in real time, and synchronizing the output of the light source and the hologram.
  • DSP digital chip
  • FPGA field programmable gate array
  • FIG. 5 or 6 There are a variety of optical paths that can be used to implement the principles of Figure 5 or 6, and Figure 7 is only one of them.
  • the principle of FIG. 5 or 6 can also be realized by configuring a light source modulation device for each color laser.
  • the entire system contains three silicon liquid crystal system chips (LCOS), respectively modulating red, green, and basket light sources to improve Image Quality.
  • LCOS liquid crystal system chips
  • FIG. 8 is a side view of the wedge waveguide, the surface of which There is a coating, the apex angle of the waveguide is ", the height is, the length is.
  • Fig. 9 is a method of generating a waveguide hologram image, which is referred to as an inverse waveguide transform in the present invention. The steps are as follows:
  • ⁇ ( ⁇ , can be a random phase
  • the whole screen is divided into two areas (the areas can be partially overlapped, that is, the incident light at different angles is emitted at the same point on the screen due to different incident points), respectively
  • Steps 3, 4, 6 can be expressed mathematically as
  • the hologram is inversed by Fourier transform or Fourier transform to obtain the angular spectrum, and is divided into one or more bands to obtain the angular spectrum of each band;
  • the order of the above steps can be adjusted according to the situation.
  • the quantization process will generate errors.
  • the visual residual effect of the human eye and the high refresh rate of the electronic spatial light modulator can be used to achieve fast display of the image to reduce the quantization of the hologram on the electronic spatial light modulator.
  • a liquid crystal system chip (LCOS) with a refresh rate of 1024 Hz per second can display 1024 frames per second.
  • LCOS liquid crystal system chip
  • each frame can be composed of 42 sub-images.
  • phase difference correction used in the present invention is based on a waveguide transform rather than a simple Fourier transform, which is significantly different from its existence.
  • the waveguide hologram correction method of the present invention is shown in Fig. 11:
  • the initial phase factor can take a random phase. Determine the number of iterations N to calculate each sub-frame image.
  • step 4 Perform hologram quantization according to the spatial light modulation device to obtain a quantized hologram that can be displayed thereon. 5. Determine whether the iteration number is reached. If yes, run step 6. If the waveguide transformation is otherwise run, obtain the corresponding image corresponding to the quantized hologram. Amplitude and phase distribution, take the phase distribution, add 2 to the input image, and jump back to step 3
  • step 7 Determine whether to display all the sub-frames of this image. If yes, enter the next frame image and jump back to step 1. If the waveguide transformation is otherwise run, the amplitude of the obtained image is compared with the amplitude of the original input image, and the intensity of the original input image is finely modified according to the obtained error by a special method, and then jumps back to step 2.
  • Steps 2 to 5 are similar to the Gerchberg-Saxton or Liu-Taghizadeh method that can be used to calculate a normal hologram, using phase degrees of freedom to optimize the phase by iteration. Get a higher quality hologram.
  • Step 7 implements feeding back the error generated by the quantization to the input image, and modifying the image displayed in the next sub-frame by a special method, so as to compensate for the error of the current sub-frame image.

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Abstract

A holographic wave guide display taking a planar wave guide as a display screen and a generation method of a holographic image adapting to the holographic wave guide display are disclosed. The holographic wave guide display comprises a wave guide (11) as the display screen and a holographic projection system (12) for inputting the holographic image to the wave guide (11). The wave guide (11) is provided with a light input face and a light output plane, and the incident light can be transmitted in the wave guide (11) until exiting the wave guide (11) from the light output plane. The exiting position of the light on the light output plane is determined by both the position of incident point and the incident angle of the light on the incident face. The holographic wave guide display of the invention adopts the wave guide as a display device, and can display the holographic image and be manufactured as an ultra-large screen.

Description

全息波导显示器及其全息图像的生成方法  Holographic waveguide display and method for generating holographic image thereof
发明领域  Field of invention
本发明属于图像显示装置及方法, 涉及一种以平面波导为显示屏的全息波导 显示器及与该全息波导显示器相适应的全息图像的生成方法。 背景技术  The present invention relates to an image display apparatus and method, and relates to a holographic waveguide display using a planar waveguide as a display screen and a method of generating a holographic image adapted to the holographic waveguide display. Background technique
全息显示技术是一种将图像转换为其在某一特定距离的衍射图案, 并使用一 种或多种单色光源照射衍射图案的技术。在经过特定距离的传播后, 由于光的衍射 及干涉效应,该衍射图案可被还原成原目标图像。相比与普通投影以及液晶显示技 术, 全息投影具有以下优点:  Holographic display technology is a technique that converts an image into a diffraction pattern at a particular distance and illuminates the diffraction pattern using one or more monochromatic sources. After a certain distance of propagation, the diffraction pattern can be reduced to the original target image due to the diffraction and interference effects of light. Compared to ordinary projection and liquid crystal display technology, holographic projection has the following advantages:
1. 节能: 与液晶显示遮挡不需要的光不同, 全息显示调制并引导光, 理论上 所有入射的光能都将被有效利用。据统计液晶显示的光能利用率在 10 - 20 %之间, 而采用二元相位调制技术(binary-phase modulation ) 的全息显示光能利用率在 40 %以上, 而多元相位调制技术( multi-phase modulation )能将光能利用率提高到 90 %以上。 另外, 相比传统投影技术所使用的白光灯泡, 全息投影所使用的激光光源 或光电二极管光源具有非常高的能量转换效率。  1. Energy saving: Unlike the liquid crystal display that blocks unwanted light, the holographic display modulates and directs light. In theory, all incident light energy will be effectively utilized. According to statistics, the utilization rate of light energy of liquid crystal display is between 10 and 20%, while the holographic display using bin-phase modulation technology has a utilization rate of more than 40%, and multi-phase modulation technology (multi- Phase modulation ) can increase the utilization of light energy to over 90%. In addition, the laser source or photodiode source used in holographic projection has a very high energy conversion efficiency compared to the white light bulb used in conventional projection technology.
2. 体积小, 结构简单: 相比于传统投影仪, 显示图像的象差可由计算全息图 本身纠正, 由此省去了为矫正相差的而设置的庞大复杂且昂贵的透镜系统。 此外, 对于彩色图像,全息投影仪使用红绿篮三种单色光源,其色差矫正也远比使用包含 所有光谱的白光的普通投影简便。  2. Small size and simple structure: Compared to conventional projectors, the aberration of the displayed image can be corrected by the computational hologram itself, thereby eliminating the need for a large and complex and expensive lens system for correcting the phase difference. In addition, for color images, the holographic projector uses three monochromatic sources of red and green baskets, and the chromatic aberration correction is much simpler than the ordinary projection using white light containing all spectra.
3. 稳定性高: 传统显示技术显示图像与投影芯片或显示器屏幕与显示影像为 点对点的对应关系, 若芯片或屏幕上有一个坏点, 则显示影像便产生一个坏点。 而 全息投影在空间光调制器( Spatial Light Modulator, SLM )上显示的是经过特殊计 算的全息图,其基本原理保证了屏幕上将永远不会产生坏点。全息图像一个象素点 对应屏幕图像上的某频谱信息而非特定象素点, 假设空间光调制器分辨为 1000x1000, 共计 100万个象素点, 则其上 1个坏点对显示图像造成的变化为 100 万分之 1而无对应坏点, 肉眼根本无法察觉, 即使空间光调制器上有数百个坏点, 其对显示图像的影响也仅为几千分之一, 肉眼不易察觉。 3. High stability: The traditional display technology displays the correspondence between the image and the projection chip or the display screen and the display image. If there is a dead pixel on the chip or the screen, the display image will have a bad point. The holographic projection shows a specially calculated hologram on the Spatial Light Modulator (SLM). The basic principle is that the screen will never produce a dead pixel. A pixel point of a holographic image corresponds to a certain spectral information on the screen image instead of a specific pixel point. Assuming that the spatial light modulator resolves to 1000x1000, a total of 1 million pixel points, the upper one of the dead pixels is caused by the displayed image. The change is 1 in 1 million without corresponding dead pixels, which is invisible to the naked eye, even if there are hundreds of dead pixels on the spatial light modulator. Its effect on the displayed image is only a few thousandths, which is hard to detect by the naked eye.
在专利 CN1217539C 中报道了应用常规投影仪的一种锥形波导显示器, 其优 点在于可以省去常规投影所需的光路,其厚度要比传统背投显示器来的薄, 而可与 液晶等离子等平板显示器相媲美。 由于波导可由便宜的光学玻璃或透明塑料板制 造, 相比与液晶, 等离子等传统平板显示技术, 在制作大尺寸屏幕时, 其成本将会 非常低廉。 此外由于波导本身不含任何电子元器件, 相比液晶, 等离子, 光电二极 管等显示器, 波导显示器更为坚固, 经久耐用。 但现有的这种波导显示器使用常规 投影, 为纠正相差色差, 波导的结构较为复杂而不易制造。 此外常规投影仪庞大的 体积以及复杂的透镜系统也限制了其在波导显示上的应用。 发明概述  A tapered waveguide display using a conventional projector is reported in the patent CN1217539C, which has the advantage that the optical path required for conventional projection can be omitted, and its thickness is thinner than that of a conventional rear projection display, and can be compared with a liquid crystal plasma. The display is comparable. Since the waveguide can be made of inexpensive optical glass or transparent plastic plate, compared with conventional flat panel display technologies such as liquid crystal and plasma, the cost of producing a large-sized screen will be very low. In addition, since the waveguide itself does not contain any electronic components, the waveguide display is more robust and durable than liquid crystal, plasma, photodiode and the like. However, the conventional waveguide display uses conventional projection. In order to correct the phase difference chromatic aberration, the structure of the waveguide is complicated and not easy to manufacture. In addition, the bulky size of conventional projectors and complex lens systems limit their use in waveguide displays. Summary of invention
本发明所要解决的技术问题是, 提供一种可显示全息图像, 同时可采用波导 作为显示载体、 可制造成超大屏幕、 成本低廉、 节能环保、 坚固耐用的全息波导显 示器及与该全息波导显示器相适应的全息图像的生成方法。  The technical problem to be solved by the present invention is to provide a holographic waveguide display capable of displaying a holographic image while using a waveguide as a display carrier, which can be manufactured into a large screen, low in cost, energy saving, environmentally friendly, and durable, and the holographic waveguide display A method of generating an adapted holographic image.
本发明的全息波导显示器包括一个作为显示屏的波导和用来向波导输入全息 图像的全息投影系统; 所述波导具有光输入面及光输出平面,入射光线可在波导中 传播直至其从光输出平面离开波导,光线在光输出平面上的出射位置由其在入射面 上的入射点位置及入射角度共同决定。  The holographic waveguide display of the present invention comprises a waveguide as a display screen and a holographic projection system for inputting a holographic image to the waveguide; the waveguide has a light input surface and a light output plane, and the incident light can propagate in the waveguide until it is output from the light The plane leaves the waveguide, and the exit position of the light on the light output plane is determined by the position of the incident point on the incident surface and the incident angle.
所述波导的侧面初始形状为三角型, 前端顶角为 α , 为节约材料可将前端无 用部分切除,使之成为楔形,其后端为一个与正面的光输出平面成 β角的光输入面。  The initial shape of the side surface of the waveguide is triangular, and the front end apex angle is α. To save material, the unnecessary portion of the front end can be cut off to make it a wedge shape, and the rear end thereof is a light input surface at an angle β with the front light output plane. .
所述波导的前半段为显示区域, 后半段为影像扩散区域, 影像扩散区域可折 叠至显示区域背面以节省空间占用。  The first half of the waveguide is a display area, the second half is an image diffusion area, and the image diffusion area can be folded to the back of the display area to save space.
所述全息投影系统包括有光源、 用来对光源进行相位或强度调制并输出所需 图像的光源调制模块。  The holographic projection system includes a light source, a light source modulation module for phase or intensity modulating the light source and outputting a desired image.
所述全息投影系统还包括有位于光源与光源调制模块输入部分之间的光源扩 束校正模块。  The holographic projection system also includes a light source expansion correction module located between the light source and the input portion of the light source modulation module.
所述全息投影系统还可包括有位于光源调制模块输出部分的图像放大校正模 块。 所述全息投影系统还包括有一个控制模块, 控制模块控制光源的开关及输出 强弱, 当光源调制模块为可变换其上显示影像的器件时, 则控制模块可接受输入影 像, 并相应的输出全息图像至光源调制模块, 且使其与光源输出相同步。 The holographic projection system can also include an image magnification correction module located at an output portion of the light source modulation module. The holographic projection system further includes a control module, the control module controls the switch of the light source and the output strength. When the light source modulation module is a device that can change the image displayed thereon, the control module can accept the input image and output accordingly. Holographic image to light source modulation module and synchronized with the light source output.
所述控制模块还可包括有用来将普通影像同步转换为全息图像的全息图像生 成模块。 当控制模块包含全息图像生成模块时, 其可接收普通影像, 再转换为全息 图像; 当控制模块不包含全息图像生成模块时,其可直接接收由外部系统生成的全 息图像。  The control module can also include a holographic image generation module for synchronously converting normal images into holographic images. When the control module includes a holographic image generation module, it can receive a normal image and convert it into a holographic image; when the control module does not include the holographic image generation module, it can directly receive the holographic image generated by the external system.
本发明的适应于上述楔形波导的全息图像生成方法运行在上述的全息图像生 成模块或外部系统中,所述全息图像生成模块或外部系统可以是单片机、数字芯片 (DSP) 、 场可编程门阵列 (FPGA)等电子芯片或电脑。  The holographic image generating method of the present invention adapted to the wedge waveguide described above operates in the holographic image generating module or the external system described above, and the holographic image generating module or external system may be a single chip microcomputer, a digital chip (DSP), or a field programmable gate array. Electronic chip or computer such as (FPGA).
本发明的适应于上述楔形波导的全息图像生成方法包括一个波导逆变换, 波 导逆变换包括以下步骤:  The holographic image generating method of the present invention adapted to the above wedge waveguide includes an inverse waveguide transform, and the inverse transform of the waveguide includes the following steps:
( 1 ) 对所需显示的影像加入相位因子;  (1) adding a phase factor to the image to be displayed;
( 2 ) 按照不同角度的光在不同区域出射的原则将全屏幕分为一个或多个区 域;  (2) dividing the full screen into one or more regions according to the principle that light from different angles is emitted in different regions;
(3) 将对应区域的影像做傅立叶变换或傅立叶逆变换, 取结果的对应波段, 得到其角频谱;  (3) Perform Fourier transform or inverse Fourier transform on the image of the corresponding region, and take the corresponding band of the result to obtain the angular spectrum;
( 4 ) 逆 传 播 ( 3 ) 的 结 果 f f , 传 播 后 的 角 频 谱 Ux y) = Ux y)xe 其中 A = 2r/l, 为入射光的波长; (4) The result of inverse propagation (3) ff , the angular spectrum of the propagation U x y) = U x y)xe where A = 2r/l, which is the wavelength of the incident light;
(5) 将 4(/"Λ)逆向旋转 r/2-2 ; (由于全息图像对旋转角度并不敏感, 在大多情况下不用旋转也可获得较满意的图像质量, 因此该步骤也可省略) (5) Reverse the rotation of 4 (/"Λ) r / 2 - 2 ; (Because the holographic image is not sensitive to the angle of rotation, in most cases, satisfactory image quality can be obtained without rotation, so this step can also be omitted. )
( 6 ) 计算并补偿由于空气波导界面及透镜系统造成的影响;  (6) Calculating and compensating for the effects due to the air waveguide interface and the lens system;
( 7 ) 对不同频谱分别做傅立叶逆变换或傅立叶变换, 并只取其对应区域的 空间幅度与相位分布。 再将所有区域的空间幅度与相位分布叠加。  (7) Perform inverse Fourier transform or Fourier transform on different spectra, and take only the spatial amplitude and phase distribution of the corresponding region. The spatial amplitude and phase distribution of all regions are superimposed.
上述波导逆变换的步骤中, 可以将步骤(1)和步骤(2) 的次序相交换。 上述波导逆变换的步骤中, 还可以将步骤(6) ~ (7) 由下列步骤替换: a.计算并补偿不同界面造成的影响;  In the step of inverse transform of the above waveguide, the order of step (1) and step (2) can be exchanged. In the step of inverse transform of the above waveguide, steps (6) to (7) may be replaced by the following steps: a. Calculating and compensating for the effects caused by different interfaces;
b.对不同频谱分别做傅立叶逆变换或傅立叶变换,并只取其对应区域的空间幅 度与相位分布。 再将所有区域的空间幅度与相位分布叠加; b. Perform inverse Fourier transform or Fourier transform on different spectra, and take only the spatial extent of the corresponding region Degree and phase distribution. Superimpose the spatial amplitude and phase distribution of all regions;
C.计算并补偿透镜系统造成的影响。  C. Calculate and compensate for the effects of the lens system.
为了提高图像的显示质量, 本发明的全息图像生成方法还可以是: 首先将输 入图像通过波导逆变换计算得出全息图,将其量化,再通过波导变换计算量化后全 息图在光输出平面的幅度与相位, 取其相位, 并加入到原输入图像; 再重新计算全 息图; 重复以上步骤, 直至满足设定的次数后, 再将得到的全息图输出至光源调制 模块; 所述波导变换包括以下步骤:  In order to improve the display quality of the image, the holographic image generating method of the present invention may further be: first calculating an hologram by inverse transform of the input image, quantizing the hologram, and then calculating the quantized hologram in the light output plane by using a waveguide transform. Amplitude and phase, take its phase, and add to the original input image; recalculate the hologram; repeat the above steps until the set number of times is satisfied, and then output the obtained hologram to the light source modulation module; The following steps:
( 1 )对全息图像丈傅立叶逆变换或傅立叶变换得到其角频谱, 并划分成一个 或多个波段, 得到各波段角频谱;  (1) obtaining an angular spectrum of the holographic image by inverse Fourier transform or Fourier transform, and dividing into one or more bands to obtain an angular spectrum of each band;
(2)计算并补偿透镜及不同界面造成的影响;  (2) Calculate and compensate for the effects of the lens and different interfaces;
(3)将(2) 中得到的结果旋转 /2_2 ; (由于全息图像对旋转角度并不 敏感, 在大多情况下不用旋转也可获得较满意的图像质量, 因此该步骤也可省略) ( 4 ) 传 播 ( 3 ) 的 结 果 Ό , 传 播 后 的 角 频 谱 Ux y) = Ux y)xe 其中 A = 2r/ l, 为入射光的波长; (3) Rotate the result obtained in (2) / 2 _ 2 ; (Because the hologram image is not sensitive to the rotation angle, in most cases, satisfactory image quality can be obtained without rotation, so this step can also be omitted) (4) The result of propagation (3) Ό, the angular spectrum of the propagation U x y) = U x y)xe where A = 2r/ l, which is the wavelength of the incident light;
(5)对各波段分别做傅立叶变换或傅立叶逆变换, 并只取其对应区域的幅度 及相位分布;  (5) Perform Fourier transform or inverse Fourier transform on each band, and take only the amplitude and phase distribution of the corresponding region;
( 6 )将各区域幅度及相位分布叠加得到总幅度及相位分布。  (6) Superimposing the amplitude and phase distribution of each region to obtain the total amplitude and phase distribution.
上述波导变换的步骤中, 步骤(1) ~ (2)可由下列步骤替换:  In the above step of transforming the waveguide, steps (1) to (2) may be replaced by the following steps:
a.计算并补偿透镜系统造成的影响;  a. Calculate and compensate for the effects of the lens system;
b.对全息图像丈傅立叶逆变换或傅立叶变换得到其角频谱,并划分成一个或多 个波段, 得到各波段角频谱;  b. The holographic image is inversely transformed by Fourier transform or Fourier transform to obtain the angular spectrum, and is divided into one or more bands to obtain the angular spectrum of each band;
c.计算并补偿不同界面造成的影响。  c. Calculate and compensate for the effects of different interfaces.
上述波导变换的步骤中, 可将步骤(3)和 (4) 的顺序互换。  In the above-described step of waveguide conversion, the order of steps (3) and (4) can be interchanged.
为了进一步提高图像的显示质量, 本发明的全息图像生成方法还可以对上述 输出至光源调制模块的全息图像通过在短时间内快速显示多帧细微差别图像,利用 人眼视觉残留效应, 使其在视网膜上相叠加来减小误差, 其具体步骤如下:  In order to further improve the display quality of the image, the holographic image generating method of the present invention can also quickly display the multi-frame nuance image in a short time by using the holographic image outputted to the illuminating module of the light source, and utilize the residual effect of the human eye to make it The superposition on the retina is used to reduce the error. The specific steps are as follows:
(1) 确定每帧显示图像由多少帧子图像组成, 计为 M;  (1) Determine how many frame sub-images are displayed for each frame of the image, which is counted as M;
(2) 对输入图像加入相位因子, 初始相位因子可取随机相位。 确定每一子 帧图像需迭代的次数 N; (2) Add a phase factor to the input image, and the initial phase factor can take a random phase. Determine each child The number of times the frame image needs to be iterated N;
( 3 ) 进行波导逆变换, 得到所需全息图;  (3) performing inverse transform of the waveguide to obtain a desired hologram;
( 4 ) 根据所使用空间光调制器件对全息图进行量化, 得到可在其上显示的 量化全息图;  (4) Quantizing the hologram according to the spatial light modulation device used to obtain a quantized hologram that can be displayed thereon;
( 5 ) 判断是否达到迭代次数, 若是则运行步骤(6 ) , 若否则运行波导变换, 得到量化全息图对应的显示图像的幅度与相位分布, 取其相位, 加到原输入图像, 并跳回步骤(3 ) ;  (5) judging whether the number of iterations is reached, if yes, running step (6), if otherwise, performing the waveguide transformation, obtaining the amplitude and phase distribution of the display image corresponding to the quantized hologram, taking the phase thereof, adding the original input image, and jumping back Step (3);
( 6 ) 将量化全息图作为一个子帧显示在光源调制模块上;  (6) displaying the quantized hologram as a sub-frame on the light source modulation module;
( 7 ) 判断是否完成此图像所有子帧的显示, 若是则输入下一帧图像, 跳回 步骤(1 ) ; 若否则运行波导变换, 将所得图像的幅度与原输入图像的幅度进行比 较, 根据所得误差对原输入图像的强度进行修改, 再跳回步骤(2 ) 。  (7) judging whether the display of all the sub-frames of the image is completed, if yes, inputting the next frame image, jumping back to step (1); if otherwise, performing the waveguide transformation, comparing the amplitude of the obtained image with the amplitude of the original input image, according to The resulting error modifies the intensity of the original input image and jumps back to step (2).
本发明的全息波导显示器相比与普通投影仪, 具有体积小, 成本低, 节能环 保, 稳定不易损坏等优点。 相比普通全息投影技术, 本发明与波导显示相结合, 使 产品具有了屏幕,省去了投影仪所需的光路空间, 而在外形及使用上与普通平板显 示器无异。 此外与波导相结合可以使产品具有被改造成触摸屏, 透明显示器, 三维 显示器等等未来应用的空间。 附图说明  Compared with the ordinary projector, the holographic waveguide display of the invention has the advantages of small volume, low cost, energy saving, stable and not easy to be damaged. Compared with the conventional holographic projection technology, the present invention is combined with the waveguide display to make the product have a screen, which eliminates the optical path space required by the projector, and is similar in appearance and use to a conventional flat panel display. In addition, the combination of waveguides allows the product to be retrofitted into future applications for touch screens, transparent displays, 3D displays and more. DRAWINGS
图 1是显示了波导侧面结构的本发明的全息波导显示器实施例的结构示意图; 图 2是图 1的俯视结构示意图;  1 is a schematic structural view of an embodiment of a holographic waveguide display of the present invention showing a side structure of a waveguide; FIG. 2 is a schematic plan view of the structure of FIG.
图 3是显示了波导侧面结构的本发明的全息波导显示器另一实施例的结构示 意图;  Figure 3 is a structural schematic view showing another embodiment of the holographic waveguide display of the present invention showing the side structure of the waveguide;
图 4是图 3的俯视结构示意图;  Figure 4 is a top plan view of Figure 3;
图 5是本发明一个实施例的全息投影系统原理图;  Figure 5 is a schematic diagram of a holographic projection system in accordance with one embodiment of the present invention;
图 6是本发明另一实施例的全息投影系统原理图;  6 is a schematic diagram of a holographic projection system according to another embodiment of the present invention;
图 7是图 6所示原理图的一种可实施的光路图;  Figure 7 is an executable light path diagram of the schematic diagram of Figure 6;
图 8是楔形波导的全息图像生成原理图;  Figure 8 is a schematic diagram of holographic image generation of a wedge waveguide;
图 9是波导逆变换的流程图; 图 10是波导变换的流程图; Figure 9 is a flow chart of the inverse transform of the waveguide; Figure 10 is a flow chart of waveguide conversion;
图 11是一种减小全息图像误差的方法的原理图。  Figure 11 is a schematic diagram of a method of reducing holographic image errors.
图 12示出了本发明的波导的等厚线的示意图。 发明的详细说明  Figure 12 shows a schematic view of an isotherm of a waveguide of the present invention. Detailed description of the invention
如图 1、 2所示, 本发明实施例的全息波导显示器包括一个作为显示屏的波导 11和用来向波导输入全息图像的全息投影系统 12。 波导的形状可如图 1所示, 侧 面初始形状为三角型, 其前端顶角为 α , 为节约材料可将前端无用部分切除, 使之 成为楔形, 为便于光入射, 波导后端经计算后可设计成一与出射面成 β角的平面。 换言之,在该实施例中,本发明的波导的光输出平面与底面形成一固定角度,即01。 其俯视图可为长方形, 三角形, 或其它便于显示的形状。 其后半部作为影像扩散区 域 111 (光传播区域) , 前半部作为显示区域 112用来显示影像。 其中后半部也可 折叠到前半部背面从而节省空间 (如图 3、 图 4 ) ) , 使波导显示器形状与普通平 板显示器无异, 其中影像扩散区域与屏幕之间有一层界面, 可为空气或特殊介质, 以确保光在此界面上只反射而不出射。 在屏幕表面可镀上一层增透膜 (抗反射薄 膜) , 以确保光达到出射角度后能全部出射, 消除因二次反射对影像造成的影响。  As shown in Figures 1 and 2, the holographic waveguide display of the embodiment of the present invention includes a waveguide 11 as a display screen and a holographic projection system 12 for inputting a holographic image to the waveguide. The shape of the waveguide can be as shown in Fig. 1. The initial shape of the side surface is triangular, and the apex angle of the front end is α. To save material, the useless part of the front end can be cut off to make it a wedge shape. To facilitate light incidence, the back end of the waveguide is calculated. It can be designed as a plane at an angle β with the exit surface. In other words, in this embodiment, the light output plane of the waveguide of the present invention forms a fixed angle with the bottom surface, i.e., 01. The top view can be rectangular, triangular, or other shape that is easy to display. The latter half serves as an image diffusion area 111 (light propagation area), and the front half serves as a display area 112 for displaying an image. The rear half can also be folded to the back of the front half to save space (Figure 3, Figure 4). The shape of the waveguide display is the same as that of a normal flat panel display. There is an interface between the image diffusion area and the screen, which can be air. Or special media to ensure that light is only reflected on this interface without exiting. An anti-reflection coating (anti-reflective film) can be applied to the surface of the screen to ensure that all of the light will reach the exit angle and eliminate the effects of secondary reflection on the image.
此外, 参考图 12, 本发明的波导为等厚线呈直线(图 12中所示的虚线)的楔 形板。 例如, 可以用等式 t = t0+ a r0, 其中 t0波导顶端的厚度, a为一常数, r0为 波导表面上的点到波导顶端端线的距离, 因等候线为直线,其厚度不随距离中心点 的距离而变化。通过采用上述等厚线呈直线的楔形板,使得本发明的波导能适用于 全息投影系统,相比传统的锥形波导,采用直线等厚线的楔形波导不会产生散光等 像差, 且形状简单易于制造, 成本低廉, 此外结合全息投影系统, 可以消除直线等 厚线的楔形波导中的图像断带问题。 如图 5、 图 6所示, 全息投影系统包括下列部 分: Further, referring to Fig. 12, the waveguide of the present invention is a wedge-shaped plate in which a thick line is a straight line (broken line shown in Fig. 12). For example, the equation t = t 0 + ar 0 can be used, where t 0 is the thickness of the tip of the waveguide, a is a constant, and r 0 is the distance from the point on the surface of the waveguide to the end line of the waveguide, because the waiting line is a straight line, and its thickness Does not change with distance from the center point. The waveguide of the present invention can be applied to a holographic projection system by adopting the above-mentioned wedge-shaped plate having a straight line, and the wedge waveguide having a straight isotropic line does not generate astigmatism and the like, and the shape is different from the conventional tapered waveguide. Simple and easy to manufacture, low cost, combined with the holographic projection system, it can eliminate image breakage problems in wedge-shaped waveguides with straight lines. As shown in Figures 5 and 6, the holographic projection system includes the following parts:
光源: 光源采用单色光源, 例如激光或光电二极管。 通过使用红, 绿, 篮三 种单色光源, 即可得到彩色图像。  Light source: The light source uses a monochromatic light source such as a laser or photodiode. Color images can be obtained by using three monochromatic sources of red, green, and basket.
光源扩束校正模块及图像放大校正模块: 它们用于将激光扩束和校正以及对 光源调制模块的输出影像进行放大和校正。例如可将扩束后的光源校正为平行光用 来照射光调制模块, 并使用透镜系统来放大输出的全息图。 Light source expansion correction module and image magnification correction module: They are used to expand and correct the laser and to amplify and correct the output image of the light source modulation module. For example, the expanded light source can be corrected for parallel light. The light modulation module is illuminated and a lens system is used to amplify the output hologram.
光源调制模块: 此模块用来对光源进行相位或强度调制并输出所需图像。 其 可采用硅上液晶系统芯片 (LCOS ) , 数字微镜元件(DMD ) , 或全息照片, 光栅 阵列等。 若采用硅上液晶系统芯片 (LCOS ) , 数字微镜元件(DMD )等器件, 则 其上显示的全息图可通过控制模块进行高速切换, 从而实现动态视频流的输出。  Light Source Modulation Module: This module is used to phase or intensity the light source and output the desired image. It can be a liquid crystal on silicon system chip (LCOS), a digital micromirror device (DMD), or a hologram, a grating array, or the like. If a liquid crystal system chip (LCOS) or a digital micromirror device (DMD) is used, the hologram displayed thereon can be switched at high speed through the control module, thereby realizing the output of the dynamic video stream.
控制模块: 控制模块用于控制光源的开关及输出强弱, 其可由单片机, 数字 芯片 (DSP ) , 场可编程门阵列 (FPGA ) 等电子芯片及电路构成。 若空间光调制 模块采用硅上液晶系统芯片 (LCOS ) , 数字微镜元件(DMD )等可实现变换其上 显示影像的器件, 则控制模块将接受输入影像,并相应的输出全息图至空间光调制 模块, 且使其与光源输出相同步。 此外, 若输入为普通影像, 则控制模块将包含全 息图生成模块, 实现普通视频至全息图的实时同步转换后,再将生成的全息图输出 至空间光调制模块, 并保持光源与其同步(如图 5 )。 若控制模块的输入为全息影 像, 则此模块可不含有全息图转换模块。控制模块直接将输入全息影像输出到空间 光调制模块, 并使光源强弱与相应影像保持同步(如图 6 ) , 而普通视频流至全息 图视频流的转换过程可由外部的计算机完成。  Control module: The control module is used to control the switch and output strength of the light source. It can be composed of electronic chips and circuits such as single chip microcomputer, digital chip (DSP), field programmable gate array (FPGA). If the spatial light modulation module uses a liquid crystal on silicon system chip (LCOS), a digital micromirror device (DMD), etc., to convert the device on which the image is displayed, the control module will accept the input image and output the hologram to the spatial light accordingly. Modulate the module and synchronize it with the output of the light source. In addition, if the input is a normal image, the control module will include a hologram generating module to realize real-time synchronous conversion of the ordinary video to the hologram, and then output the generated hologram to the spatial light modulation module, and keep the light source synchronized with it (eg Figure 5 ). If the input to the control module is a holographic image, this module may not contain a hologram conversion module. The control module directly outputs the input holography image to the spatial light modulation module, and keeps the intensity of the light source synchronized with the corresponding image (Fig. 6), and the conversion process of the normal video stream to the hologram video stream can be completed by an external computer.
图 7所示为图 5所示原理图的一种可行的具体实现光路。 其中光源使用红、 绿、 篮三种单色激光, 光源扩束校正及图像放大校正模块由透镜 1〜透镜 5构成。 透镜 1、 2、 3为光源校正透镜, 使相应光源由非平面波转换为平面波。 透镜 4, 5 构成反向望远镜结构,用于放大光源调制模块输出的全息影像。 空间光调制模块使 用硅上液晶系统芯片 ( LCOS )加入偏振片后可实现对光的相位调制。 控制模块使 用数字芯片 ( DSP )或场可编程门阵列 ( FPGA ) , 实现将输入的普通影像实时同 步转换为全息图像的功能, 并同步光源与全息图像的输出。  Figure 7 shows a possible specific implementation of the optical path of the schematic shown in Figure 5. The light source uses three kinds of monochromatic lasers of red, green and basket, and the source beam expansion correction and image enlargement correction module are composed of lenses 1 to 5. The lenses 1, 2, and 3 are light source correction lenses, and the corresponding light sources are converted from non-planar waves to plane waves. The lenses 4, 5 form an inverse telescope structure for amplifying the holographic image output by the light source modulation module. The spatial light modulation module enables phase modulation of light by using a liquid crystal on-chip (LCOS) on the silicon to add a polarizer. The control module uses a digital chip (DSP) or a field programmable gate array (FPGA) to realize the function of converting the input ordinary image into a holographic image in real time, and synchronizing the output of the light source and the hologram.
可有多种光路实现图 5或 6的原理, 图 7仅为其中一种方案。 图 5或 6的原 理也可通过每种颜色的激光各配置一个光源调制器件而实现,例如整个系统中含有 3块硅上液晶系统芯片 (LCOS )分别调制红、 绿、 篮三种光源从而提高图像质量。  There are a variety of optical paths that can be used to implement the principles of Figure 5 or 6, and Figure 7 is only one of them. The principle of FIG. 5 or 6 can also be realized by configuring a light source modulation device for each color laser. For example, the entire system contains three silicon liquid crystal system chips (LCOS), respectively modulating red, green, and basket light sources to improve Image Quality.
光在波导中的传播不同于自由空间中的传播方式。 因此波导中的全息图生成 也将区别与自由空间中的生成方法。本发明的楔形结构的波导, 不同角度的入射光 可被等效成投影在旋转不同角度的出射平面上。 图 8为楔形波导的侧视图,其表面 有镀膜, 波导顶角为", 高为 , 长为 。 光进入波导后入射角为^ 经计算, 角 度属于 " + 2 的光的投影可等效于投影在旋转 后的波导表面上, 而角度 属于 (θίη - 2α, θίη ]的光等效于投影在旋转 2 + 1)"后的波导表面上。 图 9为一种生成波导全息图像的方法, 本发明中称为波导逆变换。 其步骤如 下: The propagation of light in a waveguide is different from the mode of propagation in free space. Therefore, hologram generation in the waveguide will also differ from the generation method in free space. In the waveguide of the wedge structure of the present invention, incident light of different angles can be equivalently projected onto an exit plane that rotates at different angles. Figure 8 is a side view of the wedge waveguide, the surface of which There is a coating, the apex angle of the waveguide is ", the height is, the length is. The incident angle of the light after entering the waveguide is calculated, and the projection of the light of the angle "+ 2 " can be equivalent to the projection on the surface of the waveguide after the rotation, and the angle The light belonging to (θ ίη - 2α, θ ίη ] is equivalent to the surface of the waveguide projected after the rotation 2 + 1)". Fig. 9 is a method of generating a waveguide hologram image, which is referred to as an inverse waveguide transform in the present invention. The steps are as follows:
1. 对所需显示的影像 τ(χ, 加入相位因子 τ(χΧβ;'Φ^), 初始相位因子1. For the desired image τ ( χ , add phase factor τ( χ , Χβ; ' Φ ^), initial phase factor
Φ(χ, 可为随机相位; Φ(χ, can be a random phase;
2. 按照不同角度的光在不同区域出射的原则将全屏幕分为 Ν个区域(区域间 可部分重叠, 即不同角度的入射光因入射点不同而在屏幕上同一点出射), 分别对2. According to the principle that light from different angles is emitted in different areas, the whole screen is divided into two areas (the areas can be partially overlapped, that is, the incident light at different angles is emitted at the same point on the screen due to different incident points), respectively
(χ =^ (x^"Rn 应角频谱上 N个波段 "'^ = (Χ ' Χ£;Φ( )χΡ" ' ,其中 " , 0 (χ' ^^起 空间滤波器作用, "为对应的屏幕区域; (χ =^ (x ^" Rn should be in the N bands of the angular spectrum" '^ = (Χ ' Χ £; Φ ( ) χΡ " ' , where " , 0 ( χ ' ^ ^ spatial filter Function, "for the corresponding screen area;
3. 将区域 η的影像做傅立叶变换或傅立叶逆变换, 并只取结果的 η波段, 得 到其角频语,
Figure imgf000010_0001
, 其中 }其中为傅立叶或傅立叶逆
3. Perform the Fourier transform or the inverse Fourier transform on the image of the region η, and take only the η band of the result to obtain the angular frequency.
Figure imgf000010_0001
, where} is the Fourier or Fourier inverse
Qn(fx y) = {1 (fx y)G S" Q n (f xy ) = { 1 (fx y)GS "
变换, 0 、Uy) n , 起角谱滤波器的作用, 为对应的波段; 4.逆传播 4( ' )。传播后的角频谱 A f " f = f " f 乂 一小 (%)2"(¾)其 中 A = L/2r, 为入射光的波长, J是波导入射面与屏幕相交的边到其三角形结构顶 点的 巨离 (如图 8中所示) ; Transform, 0 , Uy) n , the role of the angular spectrum filter, for the corresponding band; 4. inverse propagation 4 ('). The angular spectrum after propagation A f " f = f " f 乂 a small (%) 2 " (3⁄4) where A = L/2r, the wavelength of the incident light, J is the side of the waveguide incident surface intersecting the screen to its triangle The large separation of the vertices of the structure (as shown in Figure 8);
5. 计算 逆向旋转 /2_2 后的结果 (若旋转角度不大, 此步骤也 可省略) ; 5. Calculate the result of reverse rotation / 2 _ 2 (this step can also be omitted if the rotation angle is not large);
6. 计算并补偿空由于空气波导界面及透镜系统造成的影响;  6. Calculate and compensate for the effects of air due to the air waveguide interface and the lens system;
7. 将所有角频谱叠加, 再丈傅立叶逆变换或傅立叶变换, 得到空间的幅度与 相位分布。对不同频谱分别做傅立叶逆变换或傅立叶变换,并只取其对应区域的空 间幅度与相位分布。 再将所有区域的空间幅度与相位分布叠加。  7. Superimpose all the angular spectra, then inverse Fourier transform or Fourier transform to obtain the amplitude and phase distribution of the space. Perform inverse Fourier transform or Fourier transform on different spectra, and take only the spatial amplitude and phase distribution of their corresponding regions. The spatial amplitude and phase distribution of all regions are superimposed.
此方法中步骤的顺序可做出调整, 以适应不同系统。 最后选择幅度或相位之 一并根据所使用的空间光调制器量化生成全息图,例如,对于二元相位调制的空间 光调制器,一种量化方法是采取令所有相位大于 0的点取 ,小于 0的点取 - /2, 从而得到一张二元全息图。 步骤 3, 4, 6在数学上可表示为The order of the steps in this method can be adjusted to suit different systems. Finally, one of the amplitudes or phases is selected and the hologram is generated according to the spatial light modulator used. For example, for a binary phase modulated spatial light modulator, a quantization method is to take all the points whose phase is greater than 0, less than A point of 0 takes - / 2 to get a binary hologram. Steps 3, 4, 6 can be expressed mathematically as
"H {r( , ')xe^(^)xJP„( , ')}x^xe ttsm2"^1"(½)2"(¾)2 "H {r( , ')x e ^ ( ^ ) x J P„( , ')}x^x e ttsm2 "^ 1 " (1⁄2)2 " (3⁄4)2
=
Figure imgf000011_0001
=
Figure imgf000011_0001
:
=
Figure imgf000011_0002
* xe sm2μΛ)2( )2 } 其中 *为卷积运算, 因为 F {S" e }F {Q" e } 与具体图像无关,所以可事先计算并存储,所以可使用一次卷积计算代替两次傅立 叶变换, 从而提高运算速度。 另外上述方法可逆, 只需进行些微修改, 便可得计算全息图在屏幕显示的波 导变换(图 10) :
=
Figure imgf000011_0002
* x e sm2μΛ)2( )2 } where * is a convolution operation, since F {S " e }F {Q " e } is independent of the specific image, so it can be calculated and stored in advance, so one volume can be used. The product calculation replaces the two Fourier transforms to increase the speed of the operation. In addition, the above method is reversible, and only a few minor modifications are needed to calculate the waveguide transformation of the hologram displayed on the screen (Fig. 10):
( 1 )对全息图 丈傅立叶逆变换或傅立叶变换得到其角频谱, 并划分成一个或 多个波段, 得到各波段角频谱;  (1) The hologram is inversed by Fourier transform or Fourier transform to obtain the angular spectrum, and is divided into one or more bands to obtain the angular spectrum of each band;
(2)计算并补偿透镜及不同界面造成的影响;  (2) Calculate and compensate for the effects of the lens and different interfaces;
(3 )将(2) 中得到的结果旋转 τ/2_2"« (若旋转角度不大, 此步骤也可省 略) ; (3) Rotate the result obtained in (2) by τ/ 2 _ 2 "« (if the angle of rotation is not large, this step can also be omitted);
( 4 ) 传 播 ( 3 ) 的 结 果 Ό , 得 角 频 谱 Ux y) = Ux y)xe 其中 A = 2r/ l, 为入射光的波长; (4) The result of propagation (3) Ό , the angular spectrum U x y) = U x y)xe where A = 2r/ l, is the wavelength of the incident light;
( 5 )对各波段分别做傅立叶变换或傅立叶变换, 并只取其对应区域的幅度及 相位分布;  (5) Perform Fourier transform or Fourier transform on each band, and take only the amplitude and phase distribution of the corresponding region;
( 6 )将各区域幅度及相位分布叠加得到总幅度及相位分布。  (6) Superimposing the amplitude and phase distribution of each region to obtain the total amplitude and phase distribution.
上述步骤的顺序可根据情况调整。 量化过程将产生误差, 为提高图像质量, 可利用人眼的视觉残留效应以及电 子空间光调制器的高刷新率来实现图像的快速显示来减小由于全息图在电子空间 光调制器上量化而造成的误差。 例如, 一块刷新率为每秒 1024赫兹的硅上液晶系 统芯片 (LCOS) , 每秒可显示 1024帧图像, 按普通视频一秒 24帧图像记, 则每 帧图像可由 42帧子图像组成, 子图像间存在细微差别以弥补彼此间的误差, 由于 人眼的视觉残留效应, 最后观测到的图像将具有很高的质量。 (专利申请The order of the above steps can be adjusted according to the situation. The quantization process will generate errors. In order to improve the image quality, the visual residual effect of the human eye and the high refresh rate of the electronic spatial light modulator can be used to achieve fast display of the image to reduce the quantization of the hologram on the electronic spatial light modulator. The error caused. For example, a liquid crystal system chip (LCOS) with a refresh rate of 1024 Hz per second can display 1024 frames per second. According to the normal video, 24 frames per second, each frame can be composed of 42 sub-images. There are subtle differences between images to compensate for the error between each other, due to The visual residual effect of the human eye, the resulting image will be of high quality. (patent application
CN101310225A中介绍了一种在自由空间中二维全息投影的象差校正方法。本发明 中所使用的相差校正基于波导变换而非简单的傅立叶变换, 与其存在明显不同) , 本发明的波导全息图校正方法如图 11 : An aberration correction method for two-dimensional holographic projection in free space is described in CN101310225A. The phase difference correction used in the present invention is based on a waveguide transform rather than a simple Fourier transform, which is significantly different from its existence. The waveguide hologram correction method of the present invention is shown in Fig. 11:
1. 输入一帧新图像, 确定其由多少帧子图像组成, 计为 M  1. Enter a new frame of image to determine how many frame sub-images it consists of, counted as M
2. 对输入图像加入相位因子, 初始相位因子可取随机相位。 确定计算每一子 帧图像需迭代的次数 N。  2. Add a phase factor to the input image. The initial phase factor can take a random phase. Determine the number of iterations N to calculate each sub-frame image.
3. 进行波导逆变换, 得到所需全息图  3. Perform inverse waveguide transformation to obtain the desired hologram
4. 根据空间光调制器件进行全息图量化, 得到可在其上显示的量化全息图 5. 判断是否达到迭代次数, 若是则运行步骤 6, 若否则运行波导变换, 得到 量化全息图所对应显示图像的幅度与相位分布, 取相位分布, 加到 2中输入图像, 并跳回步骤 3  4. Perform hologram quantization according to the spatial light modulation device to obtain a quantized hologram that can be displayed thereon. 5. Determine whether the iteration number is reached. If yes, run step 6. If the waveguide transformation is otherwise run, obtain the corresponding image corresponding to the quantized hologram. Amplitude and phase distribution, take the phase distribution, add 2 to the input image, and jump back to step 3
6. 将量化全息图作为一个子帧显示在空间光调制器上  6. Display the quantized hologram as a sub-frame on the spatial light modulator
7. 判断是否完成此图像所有子帧的显示, 若是则输入下一帧图像, 跳回步骤 1。 若否则运行波导变换, 将所得图像的幅度与原输入图像的幅度进行比较, 根据 所得误差通过特殊方法对原输入图像的强度进行细微修改, 再跳回步骤 2。  7. Determine whether to display all the sub-frames of this image. If yes, enter the next frame image and jump back to step 1. If the waveguide transformation is otherwise run, the amplitude of the obtained image is compared with the amplitude of the original input image, and the intensity of the original input image is finely modified according to the obtained error by a special method, and then jumps back to step 2.
步骤 2 至 5 类似计算普通全息图时可采用的盖师贝格 -撒克斯通 (Gerchberg-Saxton) 或刘 -泰( Liu-Taghizadeh )方法, 利用相位自由度, 通过迭代 来优化相位,从而得到质量更高的全息图。 步骤 7实现将量化产生的误差反馈给输 入图像,并通过特殊方法来修改下一子帧所显示的图像, 以期弥补当前子帧图像的 误差。  Steps 2 to 5 are similar to the Gerchberg-Saxton or Liu-Taghizadeh method that can be used to calculate a normal hologram, using phase degrees of freedom to optimize the phase by iteration. Get a higher quality hologram. Step 7 implements feeding back the error generated by the quantization to the input image, and modifying the image displayed in the next sub-frame by a special method, so as to compensate for the error of the current sub-frame image.

Claims

权 利 要 求 书 Claim
1、 一种全息波导显示器, 其特征是: 它包括一个作为显示屏的波导(11 )和 用来向波导输入全息图像的全息投影系统( 12 ); 所述波导具有光输入面及光输出 平面,入射光线可在波导中传播直至其从光输出平面离开波导, 光线在光输出平面 上的出射位置由其在入射面上的入射点位置及入射角度共同决定,其中所述波导的 侧面形状为楔形, 其后端为光输入面, 正面为光输出平面。 A holographic waveguide display, characterized in that it comprises a waveguide (11) as a display screen and a holographic projection system (12) for inputting a holographic image to the waveguide; the waveguide having a light input surface and a light output plane The incident light can propagate in the waveguide until it exits the waveguide from the light output plane. The exit position of the light on the light output plane is determined by the position of the incident point on the incident surface and the incident angle. The side shape of the waveguide is Wedge shape, the rear end is the light input surface, and the front side is the light output plane.
2、 根据权利要求 1所述的全息波导显示器, 其特征是: 所述波导为等厚线呈 直线的楔形板。  2. A holographic waveguide display according to claim 1, wherein: said waveguide is a wedge-shaped plate having a straight line of equal thickness.
3、 根据权利要求 2所述的全息波导显示器, 其特征是: 根据所述波导的前半 段为显示区域( 112 ) , 后半段为影像扩散区域( 111 ) , 影像扩散区域折叠至显示 区域背面。  3. The holographic waveguide display according to claim 2, wherein: the first half of the waveguide is a display area (112), the second half is an image diffusion area (111), and the image diffusion area is folded to the back of the display area. .
4、 根据权利要求 1 ~ 3之一所述的全息波导显示器, 其特征是: 所述全息投 影系统包括有光源、用来对光源进行相位或强度调制并输出所需图像的光源调制模 块。  4. A holographic waveguide display according to any one of claims 1 to 3, wherein: said holographic projection system comprises a light source, a light source modulation module for phase or intensity modulating the light source and outputting a desired image.
5、 根据权利要求 4所述的全息波导显示器, 其特征是: 所述全息投影系统包 括有位于光源与光源调制模块输入部分之间的光源扩束校正模块。  5. A holographic waveguide display according to claim 4, wherein: said holographic projection system includes a source beam expansion correction module located between the source and the input portion of the source modulation module.
6、 根据权利要求 4所述的全息波导显示器, 其特征是: 所述全息投影系统包 括有位于光源调制模块输出部分的图像放大校正模块。  6. A holographic waveguide display according to claim 4, wherein: said holographic projection system includes an image magnification correction module located at an output portion of the light source modulation module.
7、 根据权利要求 4所述的全息波导显示器, 其特征是: 所述全息投影系统还 包括有一个控制模块,控制模块控制光源的开关及输出强弱, 光源调制模块变换其 上显示影像的器件,控制模块接受输入影像,并相应的输出全息图像至光源调制模 块, 且使其与光源输出相同步。  7. The holographic waveguide display according to claim 4, wherein: the holographic projection system further comprises a control module, the control module controls the switch and the output strength of the light source, and the light source modulation module converts the device on which the image is displayed. The control module accepts the input image and correspondingly outputs the holographic image to the light source modulation module and synchronizes it with the light source output.
8、 根据权利要求 7所述的全息波导显示器, 其特征是: 所述控制模块包括有 用来将普通影像同步转换为全息图像的全息图像生成模块。  8. The holographic waveguide display according to claim 7, wherein: said control module comprises a holographic image generating module for synchronously converting a normal image into a holographic image.
9、 一种适应于权利要求 2或 3所述波导显示器的全息图像生成方法, 其特征 是: 它包括一个波导逆变换, 波导逆变换包括以下步骤:  A holographic image generating method adapted to the waveguide display according to claim 2 or 3, characterized in that it comprises an inverse waveguide transform, and the inverse transform of the waveguide comprises the following steps:
( 1 ) 对所需显示的影像加入相位因子;  (1) adding a phase factor to the image to be displayed;
( 2 ) 按照不同角度的光在不同区域出射的原则将全屏幕分为一个或多个区 域; (2) Divide the full screen into one or more zones according to the principle that light from different angles is emitted in different areas area;
(3) 将对应区域的影像做傅立叶变换或傅立叶逆变换, 取结果的对应波段, 得到其角频谱 4(/" ); (3) Perform Fourier transform or inverse Fourier transform on the image of the corresponding region, and take the corresponding band of the result to obtain the angular spectrum 4 (/ ");
( 4 ) 逆传播步骤 ( 3 ) 的 结果 f f , 传播后 的 角 频谱 UX y) = UX y)Xe 其中 A = 2r/ l, 为入射光的波长,其中"为 光线在波导中经历的双全反射次数, L为从楔形波导三角形延长部分顶点到波导末 端的距离, "为楔形波导三角形延长部分的顶角; (4) The result of the inverse propagation step (3), ff , the angular spectrum of the propagation U X y) = U X y)Xe where A = 2r/ l, which is the wavelength of the incident light, where "the light is experienced in the waveguide The number of double total reflections, L is the distance from the apex of the extended portion of the wedge-shaped waveguide triangle to the end of the waveguide, "the apex angle of the extension of the wedge-shaped waveguide triangle;
(5) 将 "( '^)逆向旋转 /2_2w« ;  (5) Reverse the rotation of (( '^) /2_2w« ;
( 6 ) 计算并补偿由于空气波导界面及透镜系统造成的影响;  (6) Calculating and compensating for the effects due to the air waveguide interface and the lens system;
(7) 对不同频谱分别做傅立叶逆变换或傅立叶变换, 并只取其对应区域的 空间幅度与相位分布,再将所有区域的空间幅度与相位分布叠加,以获得全息图像。  (7) Perform inverse Fourier transform or Fourier transform on different spectra, and take only the spatial amplitude and phase distribution of the corresponding regions, and then superimpose the spatial amplitude and phase distribution of all regions to obtain a holographic image.
10、 根据权利要求 9所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导逆变换是在其步骤中将所述的步骤(5)省略。  10. The holographic image generating method according to claim 9, wherein: said inverse waveguide transform is performed by omitting said step (5) in a step thereof. .
11、 根据权利要求 9所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导逆变换是在其步骤中将步骤(1)和步骤(2) 的次序相交换。  11. The holographic image generating method according to claim 9, wherein: said inverse waveguide transform is to perform steps (1) and (2) in the step thereof. The order of the exchanges.
12、 根据权利要求 9所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导逆变换是在其步骤中将步骤(6) ~ (7) 由下 列步骤替换:  12. The holographic image generating method according to claim 9, wherein: said inverse waveguide transform is performed in steps (6) to (7). Replace by the following steps:
a.计算并补偿不同界面造成的影响;  a. Calculate and compensate for the effects of different interfaces;
b.对不同频谱分别做傅立叶逆变换或傅立叶变换,并只取其对应区域的空间幅 度与相位分布。 再将所有区域的空间幅度与相位分布叠加;  b. Perform inverse Fourier transform or Fourier transform on different spectra, and take only the spatial amplitude and phase distribution of the corresponding regions. Superimpose the spatial amplitude and phase distribution of all regions;
c.计算并补偿透镜系统造成的影响。  c. Calculate and compensate for the effects of the lens system.
13、 一种适应于权利要求 2或 3所述波导显示器的全息图像生成方法, 其特 征是: 首先将输入图像按照权利要求 9~12之一所述的波导逆变换计算得出全息 图, 将其量化, 再通过波导变换计算量化后全息图在光输出平面的幅度与相位, 取 其相位, 并加入到原输入图像; 再重新计算全息图; 重复以上步骤, 直至满足设定 的次数后, 再将得到的全息图输出至权利要求 4中所述的光源调制模块; 所述波导变换包括以下步骤: 13. A holographic image generating method adapted to the waveguide display according to claim 2 or 3, wherein: the input image is first calculated by inverse transform of the waveguide according to any one of claims 9 to 12 to obtain a hologram, After quantification, the amplitude and phase of the quantized hologram in the light output plane are calculated by the waveguide transformation, and the phase is taken and added to the original input image; the hologram is recalculated; the above steps are repeated until the set number of times is satisfied. And outputting the obtained hologram to the light source modulation module described in claim 4; The waveguide transformation includes the following steps:
( 1 )对全息图像丈傅立叶逆变换或傅立叶变换得到其角频谱, 并划分成一个 或多个波段, 得到各波段角频谱;  (1) obtaining an angular spectrum of the holographic image by inverse Fourier transform or Fourier transform, and dividing into one or more bands to obtain an angular spectrum of each band;
(2)计算并补偿透镜及不同界面造成的影响;  (2) Calculate and compensate for the effects of the lens and different interfaces;
(3)将(2) 中得到的结果旋转 /2- 2 , 以得到角频率 4( ' );(3) Rotate the result obtained in (2) by / 2 - 2 to obtain the angular frequency 4 ( ');
( 4 ) 传播 步骤 ( 3 ) 的 结 果 Ό , 传播后 的 角 频谱 Ux y) = AUx y)xe 其中 = 2 / , 为入射光的波长,其中"为 光线在波导中经历的双全反射次数, L为从楔形波导三角形延长部分顶点到波导末 端的距离, "为楔形波导三角形延长部分的顶角; (4) The result of propagation step (3) Ό, the angular spectrum of the propagation U xy ) = AU xy )xe where = 2 / , is the wavelength of the incident light, where "the number of double total reflections experienced by the ray in the waveguide, L The distance from the apex of the extended portion of the wedge-shaped waveguide to the end of the waveguide, "the apex angle of the extension of the wedge-shaped waveguide triangle;
(5)对各波段分别做傅立叶变换或傅立叶变换, 并只取其对应区域的幅度及 相位分布;  (5) Perform Fourier transform or Fourier transform on each band, and take only the amplitude and phase distribution of the corresponding region;
( 6 )将各区域幅度及相位分布叠加得到总幅度及相位分布。  (6) Superimposing the amplitude and phase distribution of each region to obtain the total amplitude and phase distribution.
14、 根据权利要求 13所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导变换是在其步骤中将步骤(3)省略。  The hologram generating method according to claim 13, wherein the waveguide conversion is omitted in the step (3).
15、 根据权利要求 13所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导变换是在其步骤中将步骤(1) ~ (2) 由下列 步骤替换:  A holographic image generating method according to claim 13 or 2, wherein: said waveguide transform is performed in steps (1) to (2) Replace the following steps:
a.计算并补偿透镜系统造成的影响;  a. Calculate and compensate for the effects of the lens system;
b.对全息图像丈傅立叶逆变换或傅立叶变换得到其角频谱,并划分成一个或多 个波段, 得到各波段角频谱;  b. The holographic image is inversely transformed by Fourier transform or Fourier transform to obtain the angular spectrum, and is divided into one or more bands to obtain the angular spectrum of each band;
c.计算并补偿不同界面造成的影响。  c. Calculate and compensate for the effects of different interfaces.
16、 根据权利要求 13所述的适应于权利要求 2或 3所述波导显示器的全息图 像生成方法, 其特征是: 所述的波导变换是在其步骤中将步骤(3)和(4)的顺序 互换。  The holographic image generating method according to claim 13, wherein: said waveguide transform is performed in steps (3) and (4) Order interchange.
17、 根据权利要求 13 ~ 16之一所述的全息图像生成方法, 其特征是: 对输出 至光源调制模块的全息图像, 进行如下步骤的处理:  The holographic image generating method according to any one of claims 13 to 16, wherein the holographic image outputted to the light source modulating module is processed as follows:
( 1) 确定每帧显示图像由多少帧子图像组成, 计为 M;  (1) Determine how many frame sub-images are displayed for each frame of the image, which is counted as M;
(2) 对输入图像加入相位因子, 初始相位因子可取随机相位, 确定每一子 帧图像需迭代的次数 N; (2) Add a phase factor to the input image, and the initial phase factor can take a random phase to determine each sub- The number of times the frame image needs to be iterated N;
(3) 进行波导逆变换, 得到所需全息图;  (3) Performing an inverse transform of the waveguide to obtain a desired hologram;
(4) 根据所使用空间光调制器件对全息图进行量化, 得到可在其上显示的 量化全息图;  (4) Quantizing the hologram according to the spatial light modulation device used to obtain a quantized hologram that can be displayed thereon;
(5) 判断是否达到迭代次数, 若是则运行步骤(6) , 若否则运行波导变换, 得到量化全息图对应的显示图像的幅度与相位分布, 取其相位, 加到原输入图像, 并跳回步骤(3 ) ;  (5) Determine whether the number of iterations is reached. If yes, run step (6). If the waveguide transformation is otherwise run, obtain the amplitude and phase distribution of the displayed image corresponding to the quantized hologram, take the phase, add it to the original input image, and jump back. Step (3);
( 6 ) 将量化全息图作为一个子帧显示在光源调制模块上;  (6) displaying the quantized hologram as a sub-frame on the light source modulation module;
(7) 判断是否完成此图像所有子帧的显示, 若是则输入下一帧图像, 跳回 步骤(1) ; 若否则运行波导变换, 将所得图像的幅度与原输入图像的幅度进行比 较, 根据所得误差对原输入图像的强度进行修改, 再跳回步骤(2) 。  (7) Determine whether to complete the display of all the sub-frames of the image, if yes, input the next frame image, and jump back to step (1); if otherwise, run the waveguide transform, compare the amplitude of the obtained image with the amplitude of the original input image, according to The resulting error modifies the strength of the original input image and jumps back to step (2).
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