Multi-view 3D display system based on translation reconstruction metasurface

Abstract

The invention discloses a multi-viewpoint 3D display system based on a translation reconstruction metasurface, and the system comprises a display which provides images, corresponding to different viewpoints, of a three-dimensional object according to a time sequence; the double-layer metasurface device translates according to a time sequence to change the relative position of the two devices so as to reconstruct a light field, and then the viewpoint position is regulated and controlled; the driving device is used for driving the metasurface device in a one-dimensional or two-dimensional direction; and the synchronous control system is used for synchronously processing the image loading signal and the displacement driving signal. Through translation regulation and control of the metasurface device, a series of images with horizontal parallax or full parallax are projected to different viewpoints according to a time sequence to realize multi-viewpoint 3D display, and the problem that in a traditional multi-viewpoint 3D display technical scheme, image resolution, viewpoint density and a viewing field angle are mutually restricted is hopefully solved.

Description

Technical Field

[0001] The present invention relates to the field of 3D display technology, and more specifically, to a method for realizing multi-viewpoint 3D display by utilizing the translation of a metasurface device to project parallax images to different viewpoints in time sequence. Background Art

[0002] People mainly perceive and understand the world through vision, and three-dimensional display can bring a more realistic visual experience and richer information acquisition. Multi-viewpoint 3D display technology is one of the current mainstream naked-eye 3D display technologies. It is achieved by projecting 2D images of three-dimensional objects from different perspectives at different viewpoints in space, forming binocular parallax and motion parallax through the human eye and fusing them in the brain to perceive the 3D effect. Today's multi-viewpoint 3D display technology is divided into two categories: geometric optics and diffraction optics according to the light field modulation devices used. The former includes: cylindrical lens array technology, parallax barrier technology, microlens array technology, etc.; the latter includes: pixelated grating structure technology, harmonic diffraction lens array technology, etc.

[0003] In traditional technical solutions, people choose to design a higher viewpoint density to alleviate the convergence adjustment contradiction, and design more viewpoints to expand the viewable field of view. However, the display loads a synthetic image each time, that is, the images projected to all viewpoints at the same time are encoded and synthesized into one. Considering that the resolution of the display is fixed after selection, this leads to the mutual restriction of image resolution, viewpoint density and viewing field of view. In view of this, the present invention provides a multi-viewpoint 3D display method based on translational reconstruction of a metasurface, in which the display only projects the corresponding image to a single viewpoint at a single moment, and the translation of the metasurface device cooperates with the change of the display refresh rate to adjust the viewpoint density, and the viewpoint movement range depends on the displacement range of the metasurface. Therefore, the present invention can solve the problem of mutual restriction among image resolution, viewpoint density and viewing field of view. Furthermore, under the same viewpoint density and viewing field of view as the traditional solution, the display resolution can be fully utilized to improve the image resolution. Summary of the invention

[0004] The present invention aims to provide a multi-viewpoint 3D display system and method based on translational reconstruction metasurface, which can overcome the defects existing in the prior art and solve the problem of mutual constraints among image resolution, viewpoint density and viewing field angle. Under the condition of the same viewpoint density and viewing field angle as the traditional solution, the display resolution can be fully utilized to improve the image resolution.

[0005] In order to achieve the above object, the technical solution of the present invention is as follows:

[0006] A multi-viewpoint 3D display system based on a translational reconstruction metasurface, the system comprising a display, a double-layer metasurface device, a driving device and a synchronous control system; the display is used to provide images corresponding to each viewpoint displayed in time sequence; the double-layer metasurface device is composed of two parallel metasurfaces A and B, which are used to reconstruct the light field to achieve viewpoint control; the driving device is used to drive the double-layer metasurface device, wherein the metasurface A is driven to translate along the z-axis direction, and the metasurface B is driven to translate in the xy plane; the synchronous control system provides a core device FPGA for sending an image loading signal and a displacement driving signal, controls the image projection sequence to be consistent with the double-layer metasurface driving sequence, and provides a memory for storing each image data and related computer programs;

[0007] The double-layer metasurface device is passed through by light emitted by the display in sequence, wherein the first piece through which the light passes is metasurface A, and the second piece through which the light passes is metasurface B; the double-layer metasurface device is a combination of positive and negative lenses, and according to the theory of geometric optics zoom, the focal length of the entire double-layer metasurface device is changed by changing the distance between metasurfaces A and B.

[0008] Furthermore, the display comprises a pixel array and an optical collimation structure; the pixel array includes but is not limited to a Micro-LED pixel array; a single pixel in the Micro-LED pixel array comprises R, G, and B three-color sub-pixels;

[0009] The metasurface B is driven in a horizontal direction or a two-dimensional direction to generate horizontally distributed viewpoints or two-dimensionally distributed viewpoints, providing a 3D display effect with horizontal parallax or full parallax.

[0010] Furthermore, the Micro-LED pixel array requires a high refresh rate in order to load enough images within the visual persistence time of the human eye; the image acquisition is carried out through three-dimensional modeling of software such as 3D Studio Max to capture different images, and the three-dimensional objects can also be photographed from different perspectives in reality through a camera.

[0011] Furthermore, the driving device provides high-speed continuous linear displacement to the metasurfaces A and B, and has high repeatability, a driving stroke in the mm range, an adjustable driving speed and a known driving displacement, including but not limited to a servo motor drive.

[0012] In another aspect, the present invention proposes a multi-view 3D display method based on a translational reconstruction hypersurface, based on the multi-view 3D display system based on a translational reconstruction hypersurface, comprising the following steps:

[0013] S1: collecting and storing disparity image data about three-dimensional objects and storing related computer programs;

[0014] S2: Identify the image loading sequence through a computer program and set the driving sequence, driving speed and displacement stroke of each driving device;

[0015] S3: FPGA module sends image loading signal and displacement driving signal;

[0016] S4: The display emits collimated light carrying image information, which is modulated by metasurface A and provides incident surface B for metasurface B. i Light Field;

[0017] S5: Metasurface B transforms incident surface B i Light field modulation into phase The output surface B modulated by the displacement of the metasurface B t Light Field;

[0018] S6: Exit surface B t The light field is propagated and converges to the initial viewpoint, at which the first image is projected;

[0019] S7: The driving device drives the metasurface A along the z-axis direction according to the timing, and drives the metasurface B along the x- and y-axis directions to modulate the output surface B t Light Field Phase Then the viewpoint position is adjusted, and the next image is projected at the corresponding viewpoint at the next moment;

[0020] S8: Projecting parallax images to all viewpoints within the persistence of human vision, wherein the viewpoint density satisfies that the left and right eyes of a person see at least one image each to form binocular parallax. When a person walks around the system, he or she can see images corresponding to different perspectives to form motion parallax. Finally, the human brain perceives the 3D image corresponding to the three-dimensional object through parallax fusion.

[0021] Furthermore, by adjusting the viewpoint position by translating the metasurface device, a series of images with horizontal parallax or full parallax are projected to different viewpoints in time sequence to achieve a multi-viewpoint 3D display effect; achieving the metasurface B and its incident surface B i , exit surface B t The light field phase distribution can be but is not limited to:

[0022]

[0023] in, is the light field phase distribution of metasurface B, is the incident surface B of the metasurface B i The phase distribution of the light field, is the exit surface B of the metasurface B t The phase distribution of the light field, x, y represents B i Side, B-Side and B tThe coordinates of each point in the surface light field corresponding to the xy plane, a and b are B i The quadratic coefficient of the phase expression of the surface A and surface B, the size of a is affected by the displacement s of the metasurface A. z Regulation x and y They correspond to the displacement of the metasurface B along the x and y axes, respectively, and are provided by the driving device in a time sequence; c does not contain x and y and does not participate in Phase modulation term; when s x and y When it is a positive number, the metasurface B is driven along the positive direction of the x and y axes.

[0024] Furthermore, the hypersurface B is driven to shift by ρ, and the corresponding shift of the viewpoint in the direction perpendicular to the z-axis is calculated as:

[0025]

[0026] Where N is the displacement magnification of the viewpoint.

[0027] Compared with the prior art, the present invention has the following advantages: (1) The present invention uses a translational reconstruction metasurface to adjust the viewpoint in time sequence and project a single image at a single moment, which can solve the problem of the mutual constraints among image resolution, viewpoint density and viewing angle. Under the same viewpoint density and viewing angle as the traditional solution, the display resolution can be fully utilized to improve the image resolution; (2) The translation of the double-layer metasurface device can freely adjust the viewpoint position, and compared with the multi-viewpoint 3D display technology based on geometric optical elements, it has more accurate and free light field control capabilities; (3) Compared with the multi-viewpoint 3D display technology based on diffractive optical elements, the metasurfaces A and B do not need to be designed in array form, nor do they need to be aligned with the display panel with high precision. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 A system schematic diagram of a multi-view 3D display system based on a translational reconstruction metasurface provided by the present invention;

[0029] Figure 2 A schematic flow chart of a multi-view 3D display method based on translational reconstruction of a hypersurface provided by the present invention;

[0030] Figure 3 This is a working principle diagram of the double-layer metasurface device freely controlling the x-direction movement of the viewpoint according to the embodiment of the present invention;

[0031] Figure 4 This is a working principle diagram of the double-layer metasurface device freely controlling the y-direction movement of the viewpoint according to the embodiment of the present invention;

[0032] Figure 5This is a working principle diagram of the double-layer metasurface device freely controlling the movement of the viewpoint in the z direction according to the embodiment of the present invention;

[0033] Figure 6 This is a working principle diagram of a double-layer metasurface device for freely controlling the multi-directional movement of viewpoints according to an embodiment of the present invention;

[0034] Figure 7 : is a phase distribution design diagram of metasurfaces A and B according to an embodiment of the present invention;

[0035] Figure 8 This is a simulation diagram of Zemax using a binary surface to simulate a metasurface device to achieve viewpoint control in an embodiment of the present invention;

[0036] Fig. 9 for Figure 8 The observation surface simulation image obtained by loading the horizontal parallax image under the constructed simulation model. DETAILED DESCRIPTION

[0037] In order to make the purpose, technical solution and advantages of the embodiments of the present invention clearer, the technical solution in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0038] In combination with the background technology, the present invention provides a multi-viewpoint 3D display system and method based on translational reconstruction metasurface, aiming to solve the problem of mutual constraints among image resolution, viewpoint density and viewing field angle in the existing multi-viewpoint 3D display technology.

[0039] Specifically, Figure 1 A system schematic diagram of a multi-view 3D display system based on a translation reconstruction metasurface provided by the present invention is shown, comprising:

[0040] The display 101 may specifically provide collimated light 102 through a Micro-LED pixel array with a collimated optical structure, and the collimated light 102 carries the image information loaded at the current moment;

[0041] A double-layer metasurface device 103, wherein metasurface A is 103(a) and metasurface B is 103(b), the two metasurfaces are placed parallel to each other and are used to reconstruct a light field to achieve viewpoint control;

[0042] The collimated light 102 is modulated by the metasurface 103(a) to obtain the light 104, and the light 104 is modulated by the metasurface 103(b) to obtain the light 105, wherein the light 105(a)-(c) respectively correspond to the convergent light emitted at different times within the visual persistence time of the human eye;

[0043] 106(a)-106(c) correspond to viewpoints formed at different moments during the visual persistence time of human eyes;

[0044] A driving device 107, used to drive the double-layer metasurface device 103, wherein the metasurface 103(a) is driven to translate along the z-axis direction, and the metasurface 103(b) is driven to translate in the xy plane;

[0045] The synchronous control system 108 provides a core device FPGA for sending image loading signals and displacement driving signals, controls the image delivery sequence to be consistent with the double-layer metasurface driving sequence, and provides a memory for storing each image data and related computer programs;

[0046] The image data 109 to be loaded is a series of images with horizontal parallax or full parallax of a three-dimensional object, which can be captured from different perspectives by three-dimensional modeling software such as 3D Studio Max, or can be taken by a camera from different perspectives in reality;

[0047] Figure 1 (b) describes the relationship between the driving displacement of the metasurface 103 (b) along the x-axis and time in one cycle; Figure 1 (c) describes the relationship between the electrical signal applied to the driving device 107 and the time variation.

[0048] Figure 2 A flow chart of a multi-viewpoint 3D display method based on a translational reconstruction metasurface provided by the present invention comprises: firstly, collecting parallax image data of a three-dimensional object requiring 3D display; after starting the whole system, identifying the image loading sequence and setting the driver program through a pre-written computer program; synchronously controlling the system by using an FPGA to send an image loading signal and a displacement driving signal; the display projects collimated light onto a double-layer metasurface device; metasurfaces A and B respectively modulate the collimated light into outgoing light that can converge in different directions with the displacement in the z-axis and x- and y-axis directions as the control freedom; projecting a single image to the corresponding viewpoint at a single moment, and projecting images to all viewpoints within the visual persistence time of the human eye, to form a multi-viewpoint 3D display effect.

[0049] The working principle of the double-layer metasurface device in the embodiment of the present invention to freely control the viewpoint is as follows Figures 3 to 6 As shown. Due to the thin and light nature of the metasurface itself, the present invention uses the driving displacement of the metasurface as an adjustable degree of freedom. Specifically, Figure 3 and Figure 4 In the figure, metasurface 301, i.e., metasurface A, is stationary and not driven, and metasurface 302, i.e., metasurface B, is driven. Figure 3 , the super surface 302(a) at the previous moment is translated along the positive direction of the x-axis to the position of the super surface 302(b) at the current moment, and the viewpoint accordingly moves from the convergence position of the outgoing light 303(a) at the previous moment along the negative direction of the x-axis to the convergence position of 303(b). The translation control of the super surface 302 along the positive direction of the y-axis is shown in Figure 4 As shown. Figure 5 In the figure, the metasurface 302, i.e., the metasurface B, is stationary and not driven, while the metasurface 301, i.e., the metasurface A, is driven. The metasurface 301(a) at the previous moment is translated along the positive direction of the z-axis to the position of the metasurface 301(b) at the current moment, and the viewpoint accordingly moves from the convergence position of the outgoing light 303(e) at the previous moment along the positive direction of the z-axis to the convergence position of 303(f).

[0050] Figure 6 The figure shows a scene where the hypersurfaces 301 and 302 are driven along the z-axis and the x- and y-axis directions respectively, and a curved viewpoint distribution 304 is formed. 305 is the viewpoint corresponding to the current moment. The corresponding driving process is: (1) drive the hypersurface 302 along the x-axis and drive the hypersurface 301 along the z-axis direction at the same time, so that the viewpoint scans along an arc in the horizontal direction; (2) drive the hypersurface 302 along the y-axis to make the viewpoint wrap; (3) repeat the above (1) (2) process.

[0051] In the embodiment of the present invention, the light field phase distribution design may refer to the parabolic phase type:

[0052]

[0053] Where f is the focal length and k is the modulus of the incident light wave vector. Here is an example of a light field phase distribution design:

[0054]

[0055] Where a and b are respectively the incident surface B of the metasurface 302, i.e., the metasurface B. i , the quadratic term coefficient of the phase expression of the self-plane B, the magnitude of a is affected by the displacement s of the metasurface 301, i.e., the metasurface A z Regulation; x, y represent B i Side, B-Side and B t The coordinates of each point in the surface light field corresponding to the xy plane; s x 、s y Corresponding to the displacement of the hypersurface B along the x and y axes respectively, when s x 、s y When it is a positive number, the metasurface B is driven along the positive direction of the x and y axes; c does not contain x and y and does not participate in The term of phase modulation; is the exit surface A of metasurface A t The complex amplitude distribution of A t Amplitude distribution of the surface; is the incident surface B of the metasurface B i The amplitude distribution of the incident surface B of the metasurface can be obtained by using the diffraction inversion algorithm. i The light field is used to infer the output surface A of the metasurface A. t Light field, where Indicates B i noodle, Indicates B i The normal vector of the plane in the direction of light propagation, R represents A t Point on the surface to B i The distance of the infinitesimal element dσ on the surface, * indicates taking the conjugate of the formula; the display emits collimated light, that is, A i Face Phase is a constant.

[0056] From the above B t Face Phase From the expression, it can be seen that the hypersurface B is driven to move ρ, and the corresponding movement of the viewpoint in the direction perpendicular to the z-axis Nρ is calculated as follows:

[0057]

[0058] In a specific embodiment of the present invention, the displacement magnification N is -20, the optimal viewing distance is 40 cm, and the metasurfaces A and B work in the visible light band with a central wavelength of 0.55 μm. The metasurfaces A and B are placed parallel and 1 cm apart. In the initial state, the displacement s of the metasurface A z is 0 and the displacement s of the metasurface B x 、s y When it is 0, it can be calculated that a=-2.97×10 4 rad / cm 2 , b = 2.83 × 10 4 rad / cm 2 , since c does not participate in phase modulation and can be ignored, the phase distributions of metasurface A and B can be finally calculated.

[0059] In the above specific embodiment, the phase distribution of metasurfaces A and B is as follows: Figure 7 shown. Figure 7 (a) is a three-dimensional diagram of the phase distribution of metasurfaces A and B after phase unwrapping, where the phase surface corresponding to metasurface A has an opening facing downward, which has the effect of converging the light beam. On the contrary, the phase surface corresponding to metasurface B has an opening facing upward, which has the effect of diverging the light beam. Figure 7 (b) is to take Figure 7 The phase curve at y=0 in (a) is displayed in two dimensions.

[0060] Figure 8 This is a simulation diagram of Zemax simulation software using binary surfaces to simulate metasurface devices to achieve viewpoint control. Figure 8 The model parameters constructed in the paper include: the positive direction of the z-axis is the direction of light propagation, the central wavelength is 0.55 μm, and the distance from the object plane to the aperture plane is infinite ( Figure 8 The object plane is not shown in the figure), the distance from the aperture surface to the first binary surface is 10 mm, and the distance from the first binary surface to the second binary surface is 10 mm (corresponding to the initial state: s x =0,s y =0,s z =0), the distance from the second binary surface to the image plane is 400mm, the entrance pupil diameter is 30mm, and the quadratic term coefficient of the first binary surface phase expression is -1.96×10 4 rad / cm 2 , the coefficient of the second binary phase expression is 2.83×10 4 rad / cm 2 .

[0061] in, Figure 8 (a) and (d) correspond to the convergence of the outgoing light in the initial state, which can be well converged at the center of the image plane, and the root mean square radius of the obtained diffuse spot is 22.19μm; Figure 8 (b) Corresponding state: s x =-4mm,s y =0,s z = 0, when the convergence point of the outgoing light moves 84.87 mm from the center of the image plane along the positive direction of the x-axis; Figure 8 (c) Corresponding state: s x =0,s y =4mm,s z = 0, when the convergence point of the outgoing light moves 84.86 mm from the center of the image plane along the negative direction of the y-axis; Figure 8 (e) Corresponding state: s x =0,s y =0,s z =-0.2mm, that is, the metasurface A is translated by 0.2mm along the negative direction of the z-axis and the metasurface B is stationary. At this time, the convergence point of the outgoing light moves 77.5mm along the negative direction of the z-axis from the center of the image plane in the initial state; Figure 8 (f) Corresponding state: s x =0,s y =0,s z =-0.5mm, that is, the metasurface A is translated by 0.5mm along the negative direction of the z-axis and the metasurface B is stationary. At this time, the convergence viewpoint of the outgoing light moves 151.7mm along the negative direction of the z-axis from the center of the image plane in the initial state.

[0062] According to the above ray tracing simulation results, it can be seen that the regulation relationship between the displacement of the two binary surfaces and the corresponding viewpoint displacement is in good agreement with the theoretical design situation.

[0063] Fig. 9 for Figure 8 The observation surface simulation image obtained by loading the horizontal parallax image under the constructed simulation model. Among them, Fig. 9 (a) is a top view of a 3D object model created in 3D Studio Max software, including a ring, a sphere, and a pyramid. The three objects are staggered and have different depths from the camera placed directly in front of them. The camera field of view is set to 45°. With the sphere as the center, an image is taken at -20°, -10°, 0°, 10°, and 20° viewing angles. The images are then used in Zemax software to generate the images. Figure 8 The constructed simulation model loads the image to the object plane, and obtains the corresponding image at the image plane of each observation angle 400 mm away around the binary surface, that is, Fig. 9 (b)-(f).

[0064] Combining the above simulation results with Figure 8 It can be seen from the simulation results that the multi-viewpoint 3D display system based on translational reconstruction metasurface proposed in the present invention is capable of projecting images with horizontal parallax or full parallax to the corresponding viewpoint positions and forming a multi-viewpoint 3D display effect within the visual persistence time of the human eye.

[0065] In summary, the present invention discloses a multi-viewpoint 3D display system and method based on translational reconstruction metasurface. In the present invention, the double-layer metasurface device can be replaced by other optical elements, such as Fresnel lens, etc. The diffraction mode of the double-layer metasurface device can be two types: transmissive diffraction and reflective diffraction.

Claims

1. A multi-viewpoint 3D display system based on a translation reconstruction metasurface, the system comprising a display, a double-layer metasurface device, a driving device and a synchronous control system; the display is used to provide images corresponding to each viewpoint displayed in time sequence; the double-layer metasurface device is composed of two parallel metasurfaces A and B, which are used to reconstruct the light field to achieve viewpoint control; the driving device is used to drive the double-layer metasurface device, wherein the metasurface A is driven to translate along the z-axis direction, and the metasurface B is driven to translate in the xy plane; the synchronous control system provides a core device FPGA for sending image loading signals and displacement driving signals, controlling the image delivery sequence to be consistent with the double-layer metasurface driving sequence, and providing a memory for storing each image data and related computer programs; The double-layer metasurface device is passed through by light emitted by the display in sequence, wherein the first piece through which the light passes is metasurface A, and the second piece through which the light passes is metasurface B; the double-layer metasurface device is a combination of positive and negative lenses, and according to the theory of geometric optics zoom, the focal length of the entire double-layer metasurface device is changed by changing the distance between metasurfaces A and B.

2. A multi-view 3D display system based on translational reconstruction metasurface according to claim 1, characterized in that: The display comprises a pixel array and an optical collimation structure; the pixel array includes but is not limited to a Micro-LED pixel array; a single pixel in the Micro-LED pixel array comprises R, G, and B three-color sub-pixels; The metasurface B is driven in a horizontal direction or a two-dimensional direction to generate horizontally distributed viewpoints or two-dimensionally distributed viewpoints, providing a 3D display effect with horizontal parallax or full parallax.

3. A multi-view 3D display system based on translational reconstruction metasurface according to claim 1, characterized in that: The driving device provides high-speed continuous linear displacement to the metasurfaces A and B, and has high repeatability, a driving stroke in the mm range, an adjustable driving speed and a known driving displacement, including but not limited to a servo motor drive.

4. A display method of a multi-view 3D display system based on a translational reconstruction metasurface as claimed in claim 1, the method comprising the following steps: S1: collecting and storing disparity image data about three-dimensional objects and storing related computer programs; S2: Identify the image loading sequence through a computer program and set the driving sequence, driving speed and displacement stroke of each driving device; S3: FPGA module sends image loading signal and displacement driving signal; S4: The display emits collimated light carrying image information, which is modulated by metasurface A and provides incident surface B for metasurface B. i Light Field; S5: Metasurface B transforms incident surface B i Light field modulation into phase The output surface B modulated by the displacement of the metasurface B t Light Field; S6: Exit surface B t The light field is propagated and converges to the initial viewpoint, at which the first image is projected; S7: The driving device drives the metasurface A along the z-axis direction and drives the metasurface B along the x- and y-axis directions to modulate the output surface B according to the timing. t Light Field Phase Then the viewpoint position is adjusted, and the next image is projected at the corresponding viewpoint at the next moment; S8: Projecting parallax images to all viewpoints within the persistence of human vision, wherein the viewpoint density satisfies that the left and right eyes of a person see at least one image each to form binocular parallax. When a person walks around the system, he or she can see images corresponding to different perspectives to form motion parallax. Finally, the human brain perceives the 3D image corresponding to the three-dimensional object through parallax fusion.

5. The display method of the multi-view 3D display system according to claim 4, characterized in that: By adjusting the viewpoint position by translating the metasurface device, a series of images with horizontal parallax or full parallax are projected to different viewpoints in time sequence to achieve multi-viewpoint 3D display effect; to achieve the metasurface B and its incident surface B i , exit surface B t The phase distribution of the light field is: in, is the light field phase distribution of metasurface B, is the incident surface B of the metasurface B i The phase distribution of the light field, is the exit surface B of the metasurface B t The phase distribution of the light field, x, y represents B i Side, B-Side and B t The coordinates of each point in the surface light field corresponding to the xy plane, a and b are B i The quadratic coefficient of the phase expression of the surface A and surface B, the size of a is affected by the displacement s of the metasurface A. z Regulation x and y They correspond to the displacement of the metasurface B along the x and y axes, respectively, and are provided by the driving device in a time sequence; c does not contain x and y and does not participate in Phase modulation term; when s x and y When it is a positive number, the metasurface B is driven along the positive direction of the x and y axes.

6. The display method of the multi-view 3D display system according to claim 4, characterized in that: The hypersurface B is driven to move by ρ, and the corresponding movement of the viewpoint in the direction perpendicular to the z-axis Nρ is calculated as: Where N is the displacement magnification of the viewpoint.

Images