CN113885104B - Super-surface structure multiplexing method based on phase change material and application thereof - Google Patents

Super-surface structure multiplexing method based on phase change material and application thereof Download PDF

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CN113885104B
CN113885104B CN202111345474.6A CN202111345474A CN113885104B CN 113885104 B CN113885104 B CN 113885104B CN 202111345474 A CN202111345474 A CN 202111345474A CN 113885104 B CN113885104 B CN 113885104B
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CN113885104A (en
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杨磊
陈举
吴迪富
孙玉娟
冒建军
杨肖辉
徐新宇
杨春政
任旭东
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JIANGSU YUDI OPTICAL CO Ltd
Jiangsu University
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Jiangsu University
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    • G02B1/00—Optical elements characterised by the material of which they are made; Optical coatings for optical elements
    • G02B1/002—Optical elements characterised by the material of which they are made; Optical coatings for optical elements made of materials engineered to provide properties not available in nature, e.g. metamaterials
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    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/0009—Materials therefor
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
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    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 

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Abstract

The invention provides a multiplexing method of a super-surface structure, which is based on the super-surface made of phase change materials, and realizes a plurality of different functions by utilizing the modulation of the super-surface to geometric phase or the modulation of transmission phase, and when designing the super-surface coding, the method carries out coding design on the azimuth angle of the super-surface unit structure according to the geometric phase and carries out coding design on the geometric dimension of the super-surface unit structure according to the transmission phase; when in use, different functions are realized by controlling the super-surface phase state and the corresponding light field. The invention also provides a multi-image storage encryption application based on the above-mentioned super-surface structure multiplexing method: and taking each unit structure in the super surface as a pixel point, recording the information of each pixel point of the image by utilizing the modulation quantity of the unit structure on the geometric phase or the transmission phase of the transmitted light, and realizing the storage of a plurality of images.

Description

Super-surface structure multiplexing method based on phase change material and application thereof
Technical Field
The invention belongs to the technical field of micro-nano optics, and particularly relates to a multiplexing method based on a super-surface structure of a phase change material and application thereof.
Background
The super surface is a two-dimensional array formed by sub-wavelength metal or medium nano-pillar antennas, wherein each nano-pillar is equivalent to a pixel unit, and each pixel unit on the super surface can introduce phase mutation by optimally designing the nano-pillar array, so that random phase distribution is applied to the incident electromagnetic wave. At present, researchers have conducted application type researches on the super surface in aspects of beam shaping, optical stealth, optical encryption, storage and the like, but one of the main problems that obstruct the super surface from going to practical use is as follows: the structure is fixed once prepared, thus resulting in single functional use. Therefore, how to realize multiplexing of the super-surface structure is necessary to enhance its practical use.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a design based on multiplexing of a super-surface structure of a phase change material, and provides a multi-image storage encryption method based on the design, which is used for solving the multiplexing problem of the super-surface structure and realizing multi-image storage encryption.
The present invention achieves the above technical object by the following technical means.
A multiplexing method based on a phase change material super surface structure comprises the following steps: based on the super surface made of the phase change material, the super surface is utilized for modulating the geometric phase or modulating the transmission phase, so as to realize various different functions.
Further, in the design of the super-surface coding, the azimuth angle of the super-surface unit structure is coded according to the geometric phase, and the geometric dimension of the super-surface unit structure is coded according to the transmission phase; when in use, different functions are realized by controlling the super-surface phase state and the corresponding light field; wherein, when the super surface is amorphous, circularly polarized light is matched with the super surface, and a function is realized by modulating the geometrical phase of the circularly polarized light by the super surface; when the super surface is crystalline or amorphous, the non-polarized light is matched, and the other function is realized by modulating the transmission phase of the non-polarized light by the super surface.
Further, based on the difference of the transmission phase modulation amount of the super-surface in crystalline and amorphous states, two different functions are respectively realized by controlling the phase state of the super-surface material when the non-polarized light is matched.
Further, the plurality of different functions includes a lens, a grating, a wave plate, a polarizer, a vortex phase plate, a vector beam generator, and image storage.
Further, a conductive layer is arranged between the nano-pillars and the substrate of the super-surface, and the material phase state of the super-surface is controlled in a current mode.
A multi-image storage encryption application based on the above-mentioned super-surface structure multiplexing method: each unit structure in the super surface is respectively used as a pixel point, and the information of each pixel point of the image is recorded by utilizing the modulation quantity of the unit structure on the geometric phase or the transmission phase of the transmitted light, so that the storage and reproduction of a plurality of images are realized.
Further, the storage and reproduction of the image are realized by a holographic method; when the image is stored, carrying out phase recovery calculation on the image to be stored to obtain the phase of each pixel point, and then carrying out coding design on the super-surface unit structure so as to enable the geometric phase modulation quantity or transmission phase modulation quantity of each unit structure to correspond to the phase of each pixel point of the image; when the image is reproduced, the stored image is reproduced by controlling the light field and the phase state of the super surface.
Further, through the design of azimuth angle coding of the unit structure of the super surface, the super surface is utilized to record and store an image of geometric phase information; by designing the geometric dimension code of the super-surface unit structure, the super-surface is utilized to record transmission phase information to store another image.
Further, based on the difference of the transmission phase modulation amounts of the super surface in the crystalline state and the amorphous state, respectively, storing one image in each of the crystalline state and the amorphous state by using the transmission phase information; let the phase of the same pixel point P of the two images to be stored be respectively
Figure BDA0003353847610000025
And->
Figure BDA0003353847610000026
Then by super-aligningThe geometric dimension of the surface unit structure is coded to make the transmission phase modulation quantity of the unit structure corresponding to the pixel point P on the super surface in amorphous state and crystalline state be +.>
Figure BDA0003353847610000021
And->
Figure BDA0003353847610000022
And satisfy->
Figure BDA0003353847610000023
Figure BDA0003353847610000024
Further, when the super surface is amorphous, the first image is stored by recording geometrical phase information by the super surface in cooperation with circularly polarized light; when the super surface is amorphous, the second image is stored by utilizing the record of the super surface to the transmission phase information in cooperation with using unpolarized light; when the super surface is crystalline, the record of transmission phase information is used for storing a third image by utilizing the super surface in combination with using unpolarized light.
The beneficial effects of the invention are as follows:
(1) The invention provides a multiplexing method of a super-surface structure, which is based on the super-surface prepared by a phase change material, and achieves the purpose of multiplexing the super-surface structure by changing the phase state of the material and utilizing the characteristics of the super-surface, which are shown in different phase states, on geometric phase modulation and transmission phase modulation to realize different functions under the same super-surface structure.
(2) The multiplexing method of the super-surface structure can realize up to three different functional applications on the same super-surface structure, thereby greatly improving the practicability of the super-surface.
(3) The invention further provides a multi-image storage encryption method based on the phase change material super surface based on the provided super surface structure multiplexing method, namely, the storage of a plurality of images is realized by utilizing the recording of geometric phase information and transmission phase information of the phase change material super surface under different phase states. The function can be effectively applied to the field of multi-image encryption, and for non-receivers, the reproduction condition of the true image is not known, and meanwhile, an interference image exists, so that the difficulty of the non-receivers in stealing the true image information is increased.
Drawings
FIG. 1 is a schematic flow chart of the multiplexing method of the present invention for a super surface structure in a multi-image storage application;
FIG. 2 is a diagram of a subsurface sample structure employed in the present invention;
FIG. 3 is a plot of polarization conversion versus azimuth angle for GST nanopillars for circularly polarized light at 1.55 μm wavelength;
FIG. 4 is a plot of cross polarization phase versus azimuth angle for GST nanopillars versus 1.55 μm wavelength circularly polarized light;
FIG. 5 is a plot of co-polarized transmittance versus azimuthal angle for GST nanopillars versus 1.55 μm wavelength circularly polarized light;
FIG. 6 is a plot of the azimuthal dependence of the co-polarized phase of GST nanopillars on 1.55 μm wavelength circularly polarized light;
FIG. 7 is a process schematic diagram of a multi-image storage encryption method for multiplexing a super-surface structure according to the present invention;
FIG. 8 is a diagram of a test specimen according to a first embodiment of the present invention;
FIG. 9 (a) is a diagram of a real image test sample according to a second embodiment of the present invention;
FIG. 9 (b) is a sample diagram of an interference pattern according to a second embodiment of the present invention;
FIG. 10 (a) is a diagram of a real-world diagram test sample of a third embodiment of the present invention;
fig. 10 (b) is a test sample diagram of an interference pattern according to the third embodiment of the present invention.
Reference numerals:
1-nano-pillars; a 2-conductive layer; 3-substrate.
Detailed Description
Embodiments of the present invention will be described in detail below, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the like or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the drawings are illustrative and intended to explain the present invention and should not be construed as limiting the invention.
As shown in FIG. 1, the invention can realize the decoupling of the super-surface geometric phase and the transmission phase by controlling the phase state of the phase change material, thereby achieving the purpose of multiplexing the super-surface structure.
1. Super surface sample
The present invention is shown in fig. 2, which shows a super-surface sample comprising a substrate 3, a conductive layer 2 and nano-pillars 1. A large number of nano-pillars 1 are arranged in an array form on a plane to form a super surface, and in actual production and manufacture, the nano-pillars 1 need to be supported by a substrate 3, i.e., a large number of nano-pillars 1 are arranged in an array form on the substrate 3. The nano-pillar 1 is a phase change material, and can be switched between two phases, i.e. crystalline and amorphous, in this embodiment, the phase of the nano-pillar 1 is controlled by adopting a current mode, so that a conductive layer 2 is disposed between the nano-pillar 1 and the substrate 3. Of course, the phase state of the nano-pillar 1 can also be controlled by other ways, such as heating, illumination, etc.
The above-mentioned super-surface structure is only one specific sample adopted for verifying the feasibility of the method, and the requirement of the method for the super-surface structure is limited to the super-surface being a phase change material (the nano-pillar 1 is a phase change material), namely the super-surface can be switched between a crystalline state and an amorphous state. However, how to configure the structure of the super-surface to realize the control of the phase state of the super-surface is not included in the present disclosure, and therefore the above-mentioned super-surface structure is not to be construed as limiting the method of the present disclosure.
The embodiment adopts Ge in particular 2 Sb 2 Te 5 (GST) phase change materials for performance testing, FIGS. 3 to 6 are characteristics of GST nanopillars 1 measured at circularly polarized light having a wavelength of 1.55 μm: wherein FIG. 3 shows cross polarization transmittance (polarization conversion rate) of GST nanopillar 1 in two phases, wherein the abscissa θ is the azimuth angle of nanopillar 1, FIG. 4 shows the correspondence between cross polarization phase and azimuth angle θ, FIG. 5 corresponds to FIG. 3, FIG. 5 shows co-polarized transmittance of GST nanopillar 1 in two phases, and FIG. 6 shows the correspondence between co-polarized phase and azimuth angle θRelationship.
From fig. 3 to 6, it can be verified that:
(1) the polarization conversion rate (cross polarization transmittance) of the phase change material to circularly polarized light in an amorphous state is far higher than that in a crystalline state;
(2) after the circularly polarized light enters the nano column 1 with the azimuth angle theta, the phase of the emergent cross polarized light changes along with the change of theta, the phase change quantity is 2 times of the theta change quantity, and the phase of the co-polarized light remains unchanged.
2. Super surface structure multiplexing method
Geometric phase: based on (1) and (2), it can be derived that the phase change material can modulate the geometric phase of the incident light only when it is amorphous and the incident light is circularly polarized, and the modulation amount is related to the azimuth angle θ; the corresponding relation between the specific geometric phase modulation quantity and the nano-pillar 1 can be obtained through simulation test as shown in fig. 4.
Transmission phase: according to the principle of transmission phase, when unpolarized light is incident, the modulation amount of the super surface to the transmission phase depends on the geometric dimensions of the nano-pillars 1, for example, the geometric dimensions of the nano-pillars 1 of the cubic structure are the length, the width and the height, and the geometric dimensions of the nano-pillars 1 of the elliptic structure are the long axis, the short axis and the height. The dielectric constants of the phase change materials in the crystalline state and the amorphous state are very different, so that the transmission phase modulation quantity of the nano-column 1 with the same size on incident light in the crystalline state and the amorphous state is also different; the corresponding relation between the specific transmission phase modulation quantity and the nano column 1 can be obtained through simulation test.
Based on the characteristics of the super surface of the phase change material in geometric phase and transmission phase, the invention records geometric phase information by utilizing the azimuth angle of the super surface unit structure (nano column), and records transmission phase information by utilizing the geometric dimension of the super surface unit structure, wherein for the transmission phase, two groups of different transmission phase information can be respectively recorded on the unit structure with the same geometric dimension by controlling the phase state of the material; in summary, the modulation of the geometric phase of the transmitted light is realized by matching corresponding circularly polarized light in an amorphous state, and the modulation of the transmission phase of the transmitted light is realized by matching corresponding unpolarized light in a crystalline state or an amorphous state. The method can realize the functional application of lenses, gratings, wave plates, polaroids, vortex phase plates, vector beam generators, image storage and the like, and only needs to enable the super-surface to modulate geometric phase or transmission phase so as to meet the phase distribution requirement of corresponding required functions, thereby realizing multiple functional application on the same super-surface structure and achieving the purpose of multiplexing the super-surface structure.
For example, according to the phase distribution requirement of the lens, the azimuth angle of the ultra-surface unit structure is coded and designed according to the corresponding relation between the geometric phase modulation quantity and the azimuth angle of the unit structure, and according to the phase distribution requirement of the grating, the geometric dimension of the ultra-surface unit structure is coded and designed according to the corresponding relation between the transmission phase modulation quantity and the geometric dimension of the unit structure. Then when in use, the super surface is controlled to be in an amorphous state, and circularly polarized light is used as transmitted light in a matched mode, so that the lens function is realized; the control super surface is in an amorphous state or a crystalline state, and is matched with unpolarized light to be used as transmitted light, so that the grating function is realized.
The above-mentioned multiple functions also include multiple different forms under the same general type of functions, for example, storing multiple different images, for example, gratings for achieving multiple different effects, and the like.
3. Multi-image storage encryption application
Using a super surface made of phase change material, taking each unit structure (nano column) in the super surface as a pixel point, and recording information of each pixel point of an image by using the modulation quantity of the unit structure on the geometric phase or the transmission phase of the transmitted light; the method comprises the steps of setting azimuth angles of all unit structures in an amorphous state, and recording geometric phase information by using the azimuth angles to realize image storage; in the crystalline state or the amorphous state, by setting the geometric dimensions of each unit structure, the recording of transmission phase information by using the geometric dimensions is realized, and the image storage is realized.
After the image is stored by the method, the image information recorded on the super surface can be reproduced only under the corresponding light field condition and phase state.
As shown in fig. 7, recording and reproduction of an image are realized by a hologram method as an example. Firstly, carrying out phase recovery calculation on an image to be stored to obtain the phase of each pixel point on a plane, and then carrying out coding design on the unit structure of the super surface according to the corresponding relation between the unit structure of the super surface and the phase modulation quantity, namely setting the geometric dimension or azimuth angle of each unit structure so that the phase modulation quantity of each unit structure corresponds to the phase of each pixel point of the image to be stored one by one. Finally, when the image is reproduced, the image information recorded on the super surface can be reproduced under the specific light field condition and the corresponding phase state, thereby achieving the aim of encrypting and storing the image.
Example 1
As shown in FIG. 8, for the true graph A 0 Performing phase recovery calculation to obtain corresponding hologram A 1 Then according to hologram A 1 Setting azimuth angles of all unit structures in the super surface, and enabling the geometric phase modulation quantity of each unit structure to be the same as the phase of the corresponding pixel point, thereby completing the coding design of the super surface unit structure. It should be noted that the difference of the phase change material and the difference of the rotation direction of the incident circularly polarized light will affect the geometric phase modulation amount, so that the same incident light as that used in encoding must be selected during image reproduction, for example, the image A can be displayed only by irradiating the amorphous super surface with 1.55 μm left circularly polarized light based on the correspondence between the geometric phase modulation amount and the azimuth angle of the unit structure under 1.55 μm left circularly polarized light during encoding 2 。
Example two
As shown in FIG. 9, two images are prepared simultaneously for storage, respectively true map B 0 And interference pattern C 0 Hologram B corresponding to the two is obtained through phase recovery calculation 1 And hologram C 1 The method comprises the steps of carrying out a first treatment on the surface of the With hologram B 1 And hologram C 1 The phase at the same pixel point P is
Figure BDA0003353847610000051
And->
Figure BDA0003353847610000052
Then, the geometry of the unit structure corresponding to the pixel point P on the super surface is set so that the transmission phase modulation quantity is +.>
Figure BDA0003353847610000053
The transmission phase modulation quantity is +.>
Figure BDA0003353847610000054
And satisfy->
Figure BDA0003353847610000055
Figure BDA0003353847610000056
The coding of the super surface unit structure can be completed by setting each unit structure by a Particle Swarm Optimization (PSO) algorithm according to the above conditions. Since the holographic image has a certain fault tolerance, the above +.>
Figure BDA0003353847610000061
And->
Figure BDA0003353847610000062
And (3) with
Figure BDA0003353847610000063
The deviation between them does not affect the reproduction of the image.
By the method, two images can be stored in the same super-surface structure, unpolarized light is used for reproduction, and a real image B is displayed when the super-surface is in an amorphous state 2 Showing interferogram C in crystalline state 2 。
Example III
As shown in FIG. 10, two images are prepared simultaneously for storage, respectively, a true image D 0 And interference pattern E 0 Hologram D corresponding to the two is obtained through phase recovery calculation 1 And hologram E 1 The method comprises the steps of carrying out a first treatment on the surface of the Wherein for hologram D 1 According to the method of embodiment one, according to the amorphous stateThe relation between the time geometric phase and the azimuth angle of the unit structure is coded; for hologram E 1 In a second embodiment, the encoding is performed according to the relationship between the transmission phase and the geometry of the cell structure in the crystalline state.
By the method, two images can be stored in the same super-surface structure, and when the images are reproduced, the real image D can be displayed by irradiating the super-surface with circularly polarized light in an amorphous state 2 The interference pattern E can be developed by using unpolarized light to irradiate the super surface in the crystalline state 2 。
The first image may be stored and reproduced by recording geometric phase information of the first image by using circularly polarized light when the first image is amorphous according to the first embodiment; according to the second and third images, the second and third images are stored and reproduced by using transmission phase information of the super surface in crystalline and amorphous states respectively in accordance with the method of the second embodiment in combination with using unpolarized light.
By encoding the super surface in the three embodiments, the diversity of encryption modes can be ensured, and the confidentiality of the image information to be stored can be enhanced in the initial design. The super surface is designed by using a phase state and light field condition control mode, a plurality of image information including a real image and an interference image can be recorded, and for a non-receiving party, the reproduction condition of the real image is not known, and meanwhile, the interference image exists, so that the non-receiving party is harder to steal the real image information.
In the description of the present invention, it should be understood that the terms "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, are merely for convenience in describing the present invention and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present invention.
The present invention is not limited to the above-described embodiments, and any obvious modifications, substitutions or variations which can be made by one skilled in the art without departing from the spirit of the invention fall within the scope of the invention.

Claims (9)

1. A multiplexing method based on a phase change material super-surface structure is characterized by comprising the following steps: the super-surface based on the phase change material realizes a plurality of different functions by modulating the geometric phase and the transmission phase of the super-surface;
in the design of the super-surface coding, the azimuth angle of the super-surface unit structure is coded and designed according to the geometric phase, and the geometric dimension of the super-surface unit structure is coded and designed according to the transmission phase; when in use, different functions are realized by controlling the super-surface phase state and the corresponding light field; wherein, when the super surface is amorphous, circularly polarized light is matched with the super surface, and a function is realized by modulating the geometrical phase of the circularly polarized light by the super surface; when the super surface is crystalline or amorphous, the non-polarized light is matched, and the other function is realized by modulating the transmission phase of the non-polarized light by the super surface.
2. The method for multiplexing a super surface structure according to claim 1, wherein: based on the difference of transmission phase modulation quantity of the super-surface in crystalline state and amorphous state, when the non-polarized light is matched, two different functions are respectively realized by controlling the phase state of the super-surface material.
3. The method for multiplexing a super surface structure according to claim 2, wherein: the plurality of different functions includes lenses, gratings, waveplates, polarizers, vortex phase plates, vector beam generators, and image storage.
4. The method for multiplexing a super surface structure according to claim 1, wherein: and a conductive layer (2) is arranged between the nano column (1) and the substrate (3) of the super surface, and the material phase state of the super surface is controlled in a current mode.
5. A multi-image storage encryption application based on the super surface structure multiplexing method according to any one of claims 1 to 4, characterized in that: each unit structure in the super surface is respectively used as a pixel point, and the information of each pixel point of the image is recorded by utilizing the modulation quantity of the unit structure on the geometric phase or the transmission phase of the transmitted light, so that the storage and reproduction of a plurality of images are realized.
6. The multiple image storage encryption application of claim 5, wherein: realizing the storage and reproduction of images by a holographic method; when the image is stored, carrying out phase recovery calculation on the image to be stored to obtain the phase of each pixel point, and then carrying out coding design on the super-surface unit structure so as to enable the geometric phase modulation quantity or transmission phase modulation quantity of each unit structure to correspond to the phase of each pixel point of the image; when the image is reproduced, the stored image is reproduced by controlling the light field and the phase state of the super surface.
7. The multiple image storage encryption application of claim 6, wherein: through the design of azimuth angle coding of the unit structure of the super surface, the record of the geometrical phase information of the super surface is utilized to store an image; by designing the geometric dimension code of the super-surface unit structure, the super-surface is utilized to record transmission phase information to store another image.
8. The multiple image storage encryption application of claim 6, wherein: based on the difference of the transmission phase modulation amount of the super surface in the crystalline state and the amorphous state, respectively storing an image in the crystalline state and the amorphous state by using transmission phase information; let the phase of the same pixel point P of the two images to be stored be respectively
Figure FDA0004133452070000011
And->
Figure FDA0004133452070000012
The geometric dimension of the super-surface unit structure is coded so that the transmission phase modulation quantity of the unit structure corresponding to the pixel point P on the super-surface is +.>
Figure FDA0004133452070000013
And->
Figure FDA0004133452070000014
And satisfy->
Figure FDA0004133452070000015
9. The multiple image storage encryption application of claim 7 or 8, wherein: when the supersurface is in the amorphous state,
the method comprises the steps of storing a first image by utilizing the record of the geometrical phase information of the super surface in cooperation with circularly polarized light; when the supersurface is in the amorphous state,
storing a second image with the recording of transmission phase information using the subsurface in combination with the use of unpolarized light; when the super-surface is in the crystalline state,
the recording of the transmission phase information with the subsurface is used to store a third image in combination with the use of unpolarized light.
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