CN117666312A - Holographic projection method and device - Google Patents
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Abstract
The application discloses a holographic projection method and device, and relates to the technical field of holographic projection, wherein the method comprises the following steps: utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix; updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed; generating a three-dimensional scattering hologram according to the updated transmission matrix; and performing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed. Therefore, a photon scattering device with known scattering characteristics is introduced, the optical scattering characteristics of the photon scattering device are fully developed, the projection crosstalk in the initial transmission matrix is eliminated, the updated transmission matrix is obtained, a high-density multi-plane cross-talk-free three-dimensional scattering hologram is generated, and a clear light field of any projection plane after cross-talk information among projection light fields is removed is generated.
Description
Technical Field
The present disclosure relates to the field of holographic projection technology, and in particular, to a holographic projection method and apparatus.
Background
The hologram projection technique (Holographic Projection) is a technique for recording and reproducing a true three-dimensional image of an object by utilizing the interference and diffraction principles of light. The hologram can be generated in real time by directly using a computer through the process of recording the light wave information of the object by adopting the holographic projection technology. Subsequently, by loading the hologram on a spatial light modulator (Spatial light modulator, SLM), the spatial light modulator can be caused to reconstruct the light wave information of the object and based on the fast switching capabilities of the spatial light modulator, holographic projection is achieved.
The performance of holographic projection is largely dependent on the number of projection planes and the projected image quality. However, on the one hand, the number of projection planes is limited by the axial resolution of the hologram, and although the axial resolution can be improved by multiplexing a plurality of spatial light modulators in the related art, this greatly increases the complexity and cost of holographic projection and also reduces the efficiency of holographic projection. On the other hand, projected image quality is limited by crosstalk between projection planes. Therefore, the two limiting factors of axial resolution and crosstalk between projection planes are limited, so that holographic projection with high quality and efficiency on an object still cannot be performed at present.
Disclosure of Invention
The application provides a holographic projection method and device, which can carry out holographic projection with higher quality and efficiency on an object.
The application discloses the following technical scheme:
in a first aspect, the present application provides a holographic projection method, the method comprising:
utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix;
updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed;
generating a three-dimensional scattering hologram according to the updated transmission matrix;
and executing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed.
Optionally, the method further comprises:
utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial polarization transmission matrix;
updating the updated polarization transmission matrix to obtain an updated polarization transmission matrix, wherein the updated polarization transmission matrix is the polarization transmission matrix after crosstalk information among projection vector light fields is removed;
generating a three-dimensional scattering vector hologram according to the updated polarization transmission matrix;
and executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram to generate a vector light field after crosstalk information among projection vector light fields is removed.
Optionally, the updating the initial transmission matrix to obtain an updated transmission matrix includes:
and multiplying the initial transmission matrix by the random scattering phase distribution of plane waves penetrating through the scattering medium to obtain an updated transmission matrix.
Optionally, the updated transmission matrix is obtained by the following formula:
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
Optionally, the three-dimensional scattering hologram is obtained by the following formula:
wherein H' K (xi, eta) is a three-dimensional scattering hologram, K is the number of projection planes,representation pair update transmission matrixPerforming complex conjugate transpose operation, U k (x, y) is z k A projected light field of depth.
Optionally, the three-dimensional scattering vector hologram is obtained by the following formula:
wherein H' K (xi, eta) is a three-dimensional scattering vector hologram, K is the number of projection planes,represents the X-ray polarization direction of the emergent light and the z constructed in the H polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->Indicating the Y-linear polarization direction of the emergent light and the z constructed in the H-polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->And->Respectively show the transmission scattering medium z k The projected light fields of the two orthogonal polarization directions X, Y are planar.
In a second aspect, the present application discloses a holographic projection device, the device comprising: the device comprises a matrix acquisition module, a matrix updating module, a hologram generating module and a holographic projection module;
the matrix acquisition module is used for utilizing a photon scattering device to enable incident light to be subjected to optical scattering through a scattering medium so as to obtain an initial transmission matrix;
the matrix updating module is used for updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed;
the hologram generation module is used for generating a three-dimensional scattering hologram according to the updated transmission matrix;
the holographic projection module is used for executing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field after crosstalk information among projection light fields is removed.
Optionally, the apparatus further includes: the device comprises a polarization matrix acquisition module, a polarization matrix updating module, a vector hologram generating module and a vector hologram projection module;
the polarization matrix acquisition module is used for utilizing a photon scattering device to enable incident light to pass through a scattering medium to be subjected to optical scattering so as to obtain an initial polarization transmission matrix;
the polarization matrix updating module is used for updating the updated polarization transmission matrix to obtain an updated polarization transmission matrix, wherein the updated polarization transmission matrix is the polarization transmission matrix after crosstalk information among projection vector light fields is removed;
the vector hologram module is used for generating a three-dimensional scattering vector hologram according to the updated polarization transmission matrix;
the vector holographic projection module is used for executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram to generate a vector light field after crosstalk information among projection vector light fields is removed.
Optionally, the matrix updating module is specifically configured to: and multiplying the initial transmission matrix by the random scattering phase distribution of plane waves penetrating through the scattering medium to obtain an updated transmission matrix.
Optionally, the updated transmission matrix is obtained by the following formula:
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
Optionally, the three-dimensional scattering hologram is obtained by the following formula:
wherein H' K (xi, eta) is a three-dimensional scattering hologram, K is the number of projection planes,representation pair update transmission matrixPerforming complex conjugate transpose operation, U k (x, y) is z k A projected light field of depth.
Optionally, the three-dimensional scattering vector hologram is obtained by the following formula:
wherein H' K (xi, eta) is a three-dimensional scattering vector hologram, K is the number of projection planes,represents the X-ray polarization direction of the emergent light and the z constructed in the H polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->Indicating the Y-linear polarization direction of the emergent light and the z constructed in the H-polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->And->Respectively show the transmission scattering medium z k The projected light fields of the two orthogonal polarization directions X, Y are planar.
Compared with the prior art, the application has the following beneficial effects:
the application provides a holographic projection method and device, wherein the method comprises the following steps: utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix; updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a matrix after crosstalk information among projection light fields is removed; generating a three-dimensional scattering hologram according to the updated transmission matrix; and performing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed. Therefore, a photon scattering device with known scattering characteristics is introduced, the optical scattering characteristics of the photon scattering device are fully developed, the projection crosstalk in the initial transmission matrix is eliminated, the updated transmission matrix is obtained, a high-density multi-plane cross-talk-free three-dimensional scattering hologram is generated, and a clear light field of any projection plane after cross-talk information among projection light fields is removed is generated.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present application, and that other drawings may be obtained according to these drawings without inventive faculty for a person skilled in the art.
FIG. 1 is a flowchart of a holographic projection method according to an embodiment of the present disclosure;
FIG. 2 is a schematic diagram of a system for implementing holographic projection according to an embodiment of the present application;
fig. 3 is a schematic diagram of a holographic projection device according to an embodiment of the present application.
Detailed Description
First, technical terms related to the present application will be explained:
the spatial light modulator is used for modulating a certain parameter of a light field through liquid crystal molecules under active control, for example, modulating the amplitude of the light field, modulating the phase through refractive index, modulating the polarization state through rotation of a polarization plane, or realizing conversion of incoherent-coherent light, so that certain information is written into the light wave, and the purpose of light wave modulation is achieved. The method can conveniently load information into a one-dimensional or two-dimensional light field, and can rapidly process the loaded information by utilizing the advantages of wide bandwidth of light, multichannel parallel processing and the like.
As described above, the hologram projection technique is a technique of recording and reproducing a true three-dimensional image of an object using the interference and diffraction principles of light. The hologram can be generated in real time by directly using a computer through the process of recording the light wave information of the object by adopting the holographic projection technology. Subsequently, by loading the hologram on the spatial light modulator, the spatial light modulator can be made to reconstruct the light wave information of the object and based on the fast switching capability of the spatial light modulator, holographic projection is achieved.
The performance of holographic projection is largely dependent on the number of projection planes and the projected image quality. However, on the one hand, the number of projection planes is limited by the axial resolution of the hologram, which in turn is limited by the maximum diffraction angle of the spatial light modulator. Since the spatial light modulator has a limited number of pixels and a pixel size much larger than the wavelength of visible light, the maximum diffraction angle of the spatial light modulator is usually only a few degrees, and a smaller maximum diffraction angle results in a limited number of projection planes.
At present, although a method of multiplexing a plurality of spatial light modulators can be adopted in the related art, the number of pixels of a hologram is increased, and further the axial resolution is improved, the complexity and the cost of holographic projection are greatly increased, and the efficiency of holographic projection is also reduced.
On the other hand, projected image quality is limited by crosstalk between projection planes. Therefore, the two limiting factors of axial resolution and crosstalk between projection planes are limited, so that holographic projection with high quality and efficiency on an object still cannot be performed at present.
Moreover, the conventional holographic projection technology can only display the external contour information of the three-dimensional object, but cannot display the internal structure information of the three-dimensional object, which also results in poor quality of holographic projection.
In view of this, the present application discloses a holographic projection method and apparatus, the method comprising: utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix; updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a matrix after crosstalk information among projection light fields is removed; generating a three-dimensional scattering hologram according to the updated transmission matrix; and performing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed. Therefore, a photon scattering device with known scattering characteristics is introduced, the optical scattering characteristics of the photon scattering device are fully developed, the projection crosstalk in the initial transmission matrix is eliminated, the updated transmission matrix is obtained, a high-density multi-plane cross-talk-free three-dimensional scattering hologram is generated, and a clear light field of any projection plane after cross-talk information among projection light fields is removed is generated.
In order to make the present application solution better understood by those skilled in the art, the following description will clearly and completely describe the technical solution in the embodiments of the present application with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are only some embodiments of the present application, not all embodiments. All other embodiments, and technical solutions for holographic projection using the same principle of any type of scattering medium, obtained by a person skilled in the art without making any inventive effort, are within the scope of protection of the present application, based on the embodiments in the present application.
Referring to fig. 1, the flowchart of a holographic projection method provided in an embodiment of the present application includes:
s101: and utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, and obtaining an initial transmission matrix according to a light field diffraction propagation theory.
In some examples, the photon scattering device (Scattering optical element, SOE) may be a holographic diffuser that has the advantages of high efficiency, controllable scattering angle, controllable scattering lobe shape, controllable scattering lobe position, etc.
In some examples, the scattering medium refers to a substance capable of scattering incident light, such as ZnO (zinc oxide), tiO 2 (titanium dioxide), and the like.
Firstly, by utilizing photon scattering devices with known scattering characteristics such as light field modulation characteristics, light field diffraction propagation theory and the like, incident light is optically scattered through a scattering medium, and a three-dimensional initial transmission matrix can be directly obtained according to the light field diffraction propagation theoryThe initial transmission matrix->For describing the relationship of the scattered light field to the incident light field in different depth planes.
It should be noted that, in the conventional holographic projection technology, disturbance of scattering on light waves needs to be avoided, and optical scattering is introduced in the holographic projection method disclosed in the application, so as to break through the limitation of the spatial light modulator on the modulating capability of the three-dimensional fresnel holographic light field. The introduction of scattering will cause the original precisely modulated object wave to be thoroughly disturbed, taking on the form of intensity speckles.
S102: updating the original transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed.
To eliminate projected crosstalk, the initial transmission matrix in step S101 is usedUpdating to obtain an updated transmission matrix->
In some specific implementations, a new transmission matrix is constructedIn the specific method of (1) in the initial transmission matrixOn the basis of (a) a random scattering phase distribution of a plane wave transmitted through the scattering medium is superimposed +.>Thus, the update transmission matrix->Can be obtained by the following formula (1):
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
Specifically, the incident plane wave is in z k Depth light field complex amplitude distribution R (x, y, z k ) Can be represented by the following formula (2):
wherein R (x, y, z) k ) In z for incident plane wave k The complex amplitude distribution of the optical field of depth,is z k Initial transmission matrix of plane, H PW (ζ, η) is an incident plane wave, |R (x, y, z) k ) I is the light field R (x, y, z k ) (ζ, η) is the spatial coordinates of the incident light, (x, y) is the spatial coordinates of the scattered light, j is the imaginary unit, φ k (x, y) is a random phase.
S103: and generating a three-dimensional scattering hologram according to the updated transmission matrix.
In some specific implementations, the transmission matrix is updated by updatingGenerating cross-talk canceling multi-planar projectionsThe formula of the three-dimensional scattering hologram of (2) may be as follows:
wherein H' K (xi, eta) is a three-dimensional scattering hologram, K is the number of projection planes,to update the transmission matrix>Performing complex conjugate transpose operation, U k (x, y) is z k A projected light field of depth.
S104: and performing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed.
In some specific implementations, the arbitrary projection plane z is modulated from a three-dimensional scattering hologram i (i.e. depth z i Arbitrary) can be represented by the following formula (4):
wherein W' (x, y, z) i ) Is based on three-dimensional scattering hologram H' K (ζ, η) projection to z i The complex amplitude distribution of the projected light field of depth,to correspond to depth z i Initial transmission matrix of U i (x, y) is z i Depth projection light field, < >>For random phase distribution, K is the number of projection planes, ">To update the transmission matrix>Performing complex conjugate transpose operation, U k (x, y) is z k Planar projected light field.
In other specific implementations, a photon scattering device may be used first to make incident light optically scatter through a scattering medium to obtain an initial polarization transmission matrix.
Secondly, updating the polarization transmission matrix to obtain an updated polarization transmission matrixAnd->The updated polarization transmission matrixAnd->In order to remove the polarized transmission matrix after the crosstalk information between the projection vector light fields, the polarized transmission matrix is updated>And->Crosstalk information in the projection vector light field may be removed.
It will be appreciated that updating the transmission matrixIs to update the polarization transmission matrix irrespective of the polarization direction of the incident light and the emergent light>And->The H in (a) represents that the polarization direction of incident light is horizontal polarization direction, and X, Y represents two orthogonal polarization directions of outgoing light transmitted through the scattering medium, respectively. Thus->Indicating that the emergent light is in the X-ray polarization direction and the incident light is z constructed in the H polarization direction k Planar update polarization transmission matrix,/->Indicating that the emergent light is in the Y-linear polarization direction and the incident light is z constructed in the H-polarization direction k The planar updated polarization transmission matrix.
Subsequently, the polarization transmission matrix is updated according to the aboveAnd->Generating a cross-talk-canceling multi-planar projected three-dimensional scattering vector hologram for simultaneously modulating the intensity of a three-dimensional spatial light field transmitted through a scattering medium and the distribution of polarized light.
In some specific implementations, the above formula for obtaining the crosstalk-reducing multi-plane projection three-dimensional scattering vector hologram may be shown in the following formula (5):
wherein H' K (xi, eta) is a three-dimensional scattering vector hologram, K is the number of projection planes,for the emergent light to be in the X-ray polarization direction, the incident light is z constructed in the H polarization direction k Planar update polarization transmission matrix,/->For emergent light in Y-line polarization direction, incident light is z constructed in H polarization direction k Planar update polarization transmission matrix,/->And->Respectively show the transmission scattering medium z k Plane of the projected light field of two orthogonal polarization directions X, Y, -/-, and>the symbol representation performs complex conjugate transpose operations.
And finally, executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram, and generating a vector light field after crosstalk information among projection vector light fields is removed.
Referring to fig. 2, a schematic diagram of a system for implementing holographic projection according to an embodiment of the present application is provided. After the Laser emits light source, the beam expanding system composed of the lens L1 and the lens L2 expands the light spot size of the Laser light source. Wherein, the focal length of the lens L1 may be 25mm (millimeters), and the focal length of the lens L2 may be 500mm. The reflector M is used for changing the transmission direction of the beam after the beam expansion, reflecting the beam and filling the effective target surface of the digital micromirror array DMD.
The lens L3, the aperture F and the lens L4 assist the DMD to regulate the amplitude and phase distribution of the incident light field, so that the lens L3, the aperture F and the lens L4 mainly achieve the function of filtering treatment. Wherein, the focal length of the lens L3 may be 300mm (millimeters), and the focal length of the lens L4 may be 50mm.
The photon scattering device SOE is used for completely disturbing the amplitude phase and polarization information of an incident light field, so that the purpose of full-depth regulated three-dimensional dynamic vector holographic projection with high density, large visual angle, large size and polarization multiplexing is realized. The polarizer P is used to extract information of different polarization directions of the projected light field. The camera CCD is used to detect intensity information. The One-dimensional displacement table (One-dimensional translation stage,1 DTS) is used for collecting intensity information of the photon scattering device SOM in different planes and in different polarization directions by changing the position of the camera CCD. The Computer is used for dynamically controlling the micro-digital micro-lens array DMD to regulate and control the complex amplitude distribution of different target light fields, and the camera CCD and the digital micro-lens array DMD are enabled to acquire signals synchronously and process information in a software triggering mode, so that a multi-plane projection three-dimensional vector hologram capable of eliminating crosstalk is generated.
In summary, the present application discloses a holographic projection method, which includes: utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix; updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed; generating a three-dimensional scattering hologram according to the updated transmission matrix; and performing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed. Therefore, a photon scattering device with known scattering characteristics is introduced, the optical scattering characteristics of the photon scattering device are fully developed, the projection crosstalk in the initial transmission matrix is eliminated, the updated transmission matrix is obtained, a high-density multi-plane cross-talk-free three-dimensional scattering hologram is generated, and a clear light field of any projection plane after cross-talk information among projection light fields is removed is generated. And further, by eliminating projection crosstalk in the original polarization transmission matrix, the updated polarization transmission matrix is obtained to generate a high-density, multi-plane and crosstalk-free three-dimensional scattering vector hologram, and further a clear vector light field of any projection plane is generated for three-dimensional vector holographic projection.
Referring to fig. 3, which is a holographic projection device provided in an embodiment of the present application, the holographic projection device 300 includes: a matrix acquisition module 301, a matrix update module 302, a hologram generation module 303 and a holographic projection module 304.
Specifically, the matrix acquisition module 301 is configured to utilize a photon scattering device to make incident light pass through a scattering medium to perform optical scattering, so as to obtain an initial transmission matrix; the matrix updating module 302 is configured to update an initial transmission matrix to obtain an updated transmission matrix, where the updated transmission matrix is a transmission matrix after crosstalk information between projection light fields is removed; a hologram generating module 303, configured to generate a three-dimensional scattering hologram according to the updated transmission matrix; the holographic projection module 304 is configured to perform three-dimensional holographic projection according to the three-dimensional scattering hologram, and generate a light field from which crosstalk information between the projected light fields is removed.
In some specific implementations, the holographic projection device 300 further includes: the device comprises a polarization matrix acquisition module, a polarization matrix updating module, a vector hologram generating module and a vector hologram projection module;
specifically, the polarization matrix acquisition module is used for utilizing the photon scattering device to enable incident light to pass through a scattering medium to be subjected to optical scattering so as to obtain an initial polarization transmission matrix; the polarization matrix updating module is used for updating the updated polarization transmission matrix to obtain an updated polarization transmission matrix, wherein the updated polarization transmission matrix is the polarization transmission matrix after crosstalk information among projection vector light fields is removed; the vector hologram module is used for generating a three-dimensional scattering vector hologram according to the updated polarization transmission matrix; and the vector holographic projection module is used for executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram to generate a vector light field after the crosstalk information among the projected vector light fields is removed.
In some specific implementations, the matrix update module is specifically configured to: the updated transmission matrix is obtained by multiplying the initial transmission matrix with the random scattering phase distribution of the plane wave through the scattering medium.
In some specific implementations, the updated transmission matrix is obtained by the following equation (6):
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
In some specific implementations, the three-dimensional scattering hologram is obtained by the following equation (7):
wherein H' K (xi, eta) is a three-dimensional scattering hologram, K is the number of projection planes,representation pair update transmission matrixPerforming complex conjugate transpose operation, U k (x, y) is z k A projected light field of depth.
In some specific implementations, the three-dimensional scatter vector hologram is obtained by the following equation (8):
wherein H' K (xi, eta) is a three-dimensional scattering vector hologram, K is the number of projection planes,represents the X-ray polarization direction of the emergent light and the z constructed in the H polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->Indicating the Y-linear polarization direction of the emergent light and the z constructed in the H-polarization direction of the incident light k Update transmission matrix of plane->Performing complex conjugate transpose operation to obtain->And->Respectively show the transmission scattering medium z k The projected light fields of the two orthogonal polarization directions X, Y are planar.
In summary, the application discloses a holographic projection device, which introduces a photon scattering device with known scattering characteristics, fully develops the optical scattering characteristics of the photon scattering device, obtains an updated transmission matrix by eliminating projection crosstalk in an initial transmission matrix, generates a high-density, multi-plane and crosstalk-free three-dimensional scattering hologram, and further generates a clear light field of any projection plane after crosstalk information among projection light fields is removed. And further, by eliminating projection crosstalk in the original polarization transmission matrix, the updated polarization transmission matrix is obtained to generate a high-density, multi-plane and crosstalk-free three-dimensional scattering vector hologram, and further a clear vector light field of any projection plane is generated for three-dimensional vector holographic projection.
It is to be understood that, although the subject matter has been described in language specific to structural features and/or methodological acts, it is to be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or acts described above. Rather, the specific features and acts described above are example forms of implementing the claims.
While several specific implementation details are included in the above discussion, these should not be construed as limiting the scope of the present application. Certain features that are described in the context of separate embodiments can also be implemented in combination in a single embodiment. Conversely, various features that are described in the context of a single embodiment can also be implemented in multiple embodiments separately or in any suitable subcombination.
The foregoing description is only of the preferred embodiments of the present application and is presented as a description of the principles of the technology being utilized. It will be appreciated by persons skilled in the art that the scope of the disclosure referred to in this application is not limited to the specific combinations of features described above, but it is intended to cover other embodiments in which any combination of features described above or equivalents thereof is possible without departing from the spirit of the disclosure. Such as the above-described features and technical features having similar functions (but not limited to) disclosed in the present application are replaced with each other.
Claims (10)
1. A holographic projection method, the method comprising:
utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial transmission matrix;
updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed;
generating a three-dimensional scattering hologram according to the updated transmission matrix;
and executing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field with crosstalk information among projection light fields removed.
2. The method according to claim 1, wherein the method further comprises:
utilizing a photon scattering device to enable incident light to pass through a scattering medium to carry out optical scattering, so as to obtain an initial polarization transmission matrix;
updating the updated polarization transmission matrix to obtain an updated polarization transmission matrix, wherein the updated polarization transmission matrix is the polarization transmission matrix after crosstalk information among projection vector light fields is removed;
generating a three-dimensional scattering vector hologram according to the updated polarization transmission matrix;
and executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram to generate a vector light field after crosstalk information among projection vector light fields is removed.
3. The method of claim 1, wherein the updating the initial transmission matrix to obtain an updated transmission matrix comprises:
and multiplying the initial transmission matrix by the random scattering phase distribution of plane waves penetrating through the scattering medium to obtain an updated transmission matrix.
4. A method according to claim 3, wherein the updated transmission matrix is obtained by the following formula:
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
5. The method of claim 1, wherein the three-dimensional scattering hologram is obtained by the formula:
wherein H' K (xi, eta) is a three-dimensional scattering hologram, K is the number of projection planes,representing update transmission matrix->Performing complex conjugate transpose operation, U k (x, y) is z k A projected light field of depth.
6. The method of claim 2, wherein the three-dimensional scatter vector hologram is obtained by the formula:
wherein H' K (xi, eta) is a three-dimensional scattering vector hologram, K is the number of projection planes,represents the X-ray polarization direction of the emergent light and the z constructed in the H polarization direction of the incident light k Update transmission matrix of plane->Performing a complex conjugate transpose operation on the result,indicating the Y-linear polarization direction of the emergent light and the z constructed in the H-polarization direction of the incident light k Planar update transmission matrixPerforming complex conjugate transpose operation to obtain->And->Respectively show the transmission scattering medium z k The projected light fields of the two orthogonal polarization directions X, Y are planar.
7. A holographic projection device, the device comprising: the device comprises a matrix acquisition module, a matrix updating module, a hologram generating module and a holographic projection module;
the matrix acquisition module is used for utilizing a photon scattering device to enable incident light to be subjected to optical scattering through a scattering medium so as to obtain an initial transmission matrix;
the matrix updating module is used for updating the initial transmission matrix to obtain an updated transmission matrix, wherein the updated transmission matrix is a transmission matrix after crosstalk information among projection light fields is removed;
the hologram generation module is used for generating a three-dimensional scattering hologram according to the updated transmission matrix;
the holographic projection module is used for executing three-dimensional holographic projection according to the three-dimensional scattering hologram to generate a light field after crosstalk information among projection light fields is removed.
8. The apparatus of claim 7, wherein the apparatus further comprises: the device comprises a polarization matrix acquisition module, a polarization matrix updating module, a vector hologram generating module and a vector hologram projection module;
the polarization matrix acquisition module is used for utilizing a photon scattering device to enable incident light to pass through a scattering medium to be subjected to optical scattering so as to obtain an initial polarization transmission matrix;
the polarization matrix updating module is used for updating the updated polarization transmission matrix to obtain an updated polarization transmission matrix, wherein the updated polarization transmission matrix is the polarization transmission matrix after crosstalk information among projection vector light fields is removed;
the vector hologram module is used for generating a three-dimensional scattering vector hologram according to the updated polarization transmission matrix;
the vector holographic projection module is used for executing three-dimensional vector holographic projection according to the three-dimensional scattering vector hologram to generate a vector light field after crosstalk information among projection vector light fields is removed.
9. The apparatus of claim 7, wherein the matrix updating module is specifically configured to: and multiplying the initial transmission matrix by the random scattering phase distribution of plane waves penetrating through the scattering medium to obtain an updated transmission matrix.
10. The apparatus of claim 9, wherein the updated transmission matrix is obtained by the following formula:
wherein z is k For the depth of the object scattered light plane into the scattering medium plane,is z k Initial transmission matrix of plane, R (x, y, z k ) In z for incident plane wave k Complex amplitude distribution of the optical field of depth, R * (x,y,z k ) For the light field R (x, y, z k ) Is, |R (x, y, z) k ) I is the light field R (x, y, z k ) Is a function of the amplitude distribution of the (c).
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