CN112684602A - Design method of super-surface material for realizing near-field spin angular momentum multiplexing - Google Patents
Design method of super-surface material for realizing near-field spin angular momentum multiplexing Download PDFInfo
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Abstract
The invention provides a design method of a super surface material for realizing near-field spin angular momentum multiplexing, which comprises the following steps: constructing a super-surface array, wherein the super-surface array comprises a plurality of nano brick structure units; optimizing to obtain multiple groups of candidate size parameters of the nano brick structural unit; designing a multiplexing image I, and calculating the phase of the nano-brick structure unit corresponding to each pixel point on the multiplexing image I
Designing a multiplexing image II, and calculating the phase of the nano-brick structure unit corresponding to each pixel point on the multiplexing image II
According to
And
calculating the nano-brick steering angle and the transmission phase of each nano-brick structure unit; and selecting the corresponding size parameters of the nano-brick structure units at each position in the super-surface array according to the transmission phase, and arranging the nano-brick steering angles calculated by the nano-brick structure units with the corresponding size parameters at each position to obtain the required super-surface material. The invention greatly expands the information channel dimension of the super-surface near-field multiplexing technology, so that the multiplexing information is exponentially increased.
Description
Technical Field
The invention belongs to the technical field of information optics, and particularly relates to a design method of a super-surface material for realizing near-field spin angular momentum multiplexing.
Background
As a novel near-field multi-channel high-resolution imaging technology, the super-surface near-field multiplexing technology has received more and more attention due to the technical characteristics of multi-channel, high efficiency, high resolution and extremely accurate control, and becomes one of important research contents of modern multiplexing imaging technology. However, most of the existing super-surface near-field multiplexing technologies implement multiplexing display of near-field images by modulating intensity based on the polarization direction of linearly polarized light, but the above-mentioned multiplexing technologies based on the polarization direction of linearly polarized light only use a part of the polarization information of light waves, so the number of information channels is limited, and how to expand the dimension of the information channels of the super-surface near-field multiplexing technology to exponentially increase the multiplexed information is a problem that needs to be solved at present.
Disclosure of Invention
The invention aims to provide a design method of a super surface material for realizing near-field spin angular momentum multiplexing aiming at the defects of the prior art, and the super surface material prepared by the method can expand the information channel dimension of the super surface near-field multiplexing technology, so that the multiplexing information is exponentially increased.
In order to solve the technical problems, the invention adopts the following technical scheme:
a design method of a super surface material for realizing near-field spin angular momentum multiplexing comprises the following steps:
s1: constructing a super-surface array, wherein the super-surface array comprises a plurality of nano brick structure units which are periodically arranged, each nano brick structure unit comprises a substrate working surface and a nano brick arranged on the substrate working surface, and the nano brick steering angle of each nano brick structure unit is alpha (x, y);
s2: optimizing to obtain multiple groups of optional size parameters of the nano-brick structure unit which is functionally equivalent to a half-wave plate when linearly polarized light with the working wavelength is vertically incident;
s3: designing a multiplexing image I, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image I
And designing a multiplexing image II, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image II
S4: the phase recorded by the interference of each nano-brick structure unit corresponding to the multiplexed image obtained in the step S3
Phase recorded by interference of each nano-brick structure unit corresponding to the second multiplexing image
Calculating the geometric phase phi (x, y) and the transmission phase psi (x, y) of each nano-brick structure unit in the super-surface array, and calculating the nano-brick steering angle alpha (x, y) of each nano-brick structure unit according to the geometric phase phi (x, y);
s5: and selecting the size parameters corresponding to the nano-brick structure units at each position in the super-surface array from the multiple sets of candidate size parameters obtained in the step S1 according to the transmission phase Ψ (x, y) distribution obtained in the step S4, and arranging the nano-brick structure units corresponding to the size parameters at each position according to the nano-brick steering angle α (x, y) calculated in the step S4, thereby obtaining the required super-surface material.
Further, an xoy coordinate system is established by respectively setting the directions of two edges parallel to the working surface as an x axis and a y axis, a long axis L and a short axis W are arranged on the surface of the nano brick parallel to the working surface, and the steering angle alpha (x, y) of the nano brick is an included angle between the long axis L of the nano brick and the x axis.
Further, the size parameters of the nano-brick structure unit include a long axis L, a short axis W, and a height H of the nano-brick and the size of the side length C of the working surface of the substrate, and the long axis L is not equal to the short axis W.
Further, in step S3, the phase recorded by the interference of the nano-brick structure unit corresponding to each pixel point in the first image is multiplexed
The calculation formula of (2) is as follows:
where C is a constant, a (x, y) is the amplitude and phase of each pixel when a multiplexed image is displayed, R (x, y) is a complex amplitude distribution for interference recording of reference light, and R (x, y) is 1;
phase positions of interference records of nano-brick structure units corresponding to all pixel points in the multiplexed image II
The calculation formula of (2) is as follows:
where C is a constant, B (x, y) is the amplitude and phase of each pixel when the multiplexed image two is displayed, R (x, y) is a complex amplitude distribution for interference recording of the reference light, and R (x, y) is 1.
Further, in step S4, the geometric phase Φ (x, y) of each nano-brick structure unit in the super-surface array is calculated as:
wherein the steering angle alpha of the nano-brick structural unit(x, y) is equal to half the geometric phase Φ (x, y) of the nano-brick structure unit, i.e.
The transmission phase Ψ (x, y) of each nanoblock structure unit in the super-surface array is calculated as:
further, the working surface of the substrate is made of an aluminum oxide material, and the nano-brick is made of a crystalline silicon material.
Further, the operating wavelength is a visible light band, wherein the operating wavelength λ is 633 nm.
Another object of the present invention is to provide a metamaterial according to the above design method for realizing near-field spin angular momentum multiplexing.
Further, the circularly polarized light with a spin angular momentum vertically enters the super surface material, a multiplexed image I is displayed in a near field of the super surface material, the spin angular momentum of the incident circularly polarized light is changed, and a multiplexed image II is displayed in the near field of the super surface material.
The invention also provides the super-surface material obtained by the design method for the super-surface material for realizing the near-field spin angular momentum multiplexing.
Further, linearly polarized light with the working wavelength is perpendicularly incident to the super surface material, and the first multiplexed image and the second multiplexed image are displayed simultaneously in the near field of the super surface material.
Compared with the prior art, the invention has the beneficial effects that:
1) the invention applies the spin angular momentum to the multiplexing technology, thereby greatly expanding the information channel dimension of the super-surface near-field multiplexing technology and leading the multiplexing information to be increased exponentially;
2) the phase algorithm in the invention is simple to calculate, does not need multi-step iterative algorithm, has low requirement on calculation, and provides new design freedom for near field multiplexing technology.
Drawings
FIG. 1 is a schematic structural diagram of a nano-brick structural unit in an embodiment of the present invention;
FIG. 2 is a schematic diagram of the polarization converted reflectivity of the nano-brick structural units of three different dimensional parameters according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of the transmission phase distribution of the nano-brick structural units of three different dimensional parameters in the example of the present invention;
FIG. 4 is an amplitude distribution and a phase distribution of a first multiplexed image according to an embodiment of the present invention, wherein (a) is the amplitude distribution and (b) is the phase distribution;
FIG. 5 shows an amplitude distribution and a phase distribution of a second multiplexed image, where (a) is the amplitude distribution and (b) is the phase distribution;
FIG. 6 is a geometric phase distribution of a metamaterial surface material in an embodiment of the present invention;
FIG. 7 is a transmission phase distribution of multiplexed metamaterial materials in an embodiment of the present invention;
FIG. 8 is a schematic diagram illustrating the operation of the near-field dual-key encryption technique according to the embodiment of the present invention under the incidence of the operating wavelength;
in the figure, 1-nano brick and 2-substrate working surface.
Detailed Description
The technical solutions in the embodiments of the present invention will be described clearly and completely with reference to the following embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
The present invention is further illustrated by the following examples, which are not to be construed as limiting the invention.
The invention provides a design method of a super surface material for realizing near-field spin angular momentum multiplexing, which comprises the following steps:
s1: constructing a super-surface array, wherein the super-surface array comprises a plurality of nano brick structure units which are periodically arranged, each nano brick structure unit comprises a substrate working surface and a nano brick arranged on the substrate working surface, and the nano brick steering angle of each nano brick structure unit is alpha (x, y); in the step, a xoy coordinate system is respectively established by taking the directions of two edges parallel to the working surface as an x axis and a y axis, the height direction of the nano brick is set as a Z axis, a long axis L and a short axis W are arranged on the surface of the nano brick parallel to the working surface, and the steering angle alpha (x, y) of the nano brick is the included angle between the long axis L of the nano brick and the x axis;
s2: optimizing to obtain multiple groups of optional size parameters of the nano-brick structure unit which is functionally equivalent to a half-wave plate when linearly polarized light with the working wavelength is vertically incident;
in this embodiment, the dominant wavelength λ of the visible light band is 633nm, which is the operating wavelength of the near-field spin angular momentum multiplexing technique. Firstly, optimizing the size parameters of the nano-brick structure unit according to the working wavelength lambda and the performance requirement of a half-wave plate; fig. 1 shows the structure of a nano-brick structure unit, which shows a substrate working surface 2 with a side length of C and a nano-brick 1 arranged on the substrate working surface, the nano-brick having a major axis of L, a minor axis of W and a height of H, wherein the projection of the center of the nano-brick 1 and the substrate working surface 2 on the XOY plane coincides. In the embodiment, the nano brick 1 is made of crystalline silicon material, and the substrate working surface 2 is made of alumina material.
The sizes of multiple sets of candidate dimension parameters of the nano-brick structure unit 1 are obtained through optimization design, and specifically, the phase delay of reflected light in the long axis direction and the short axis direction when linearly polarized light vertically enters the nano-brick structure unit 1 is pi, and the amplitudes are kept consistent, that is, the nano-brick structure unit 1 can be equivalent to a micro half-wave plate. The half-wave plate has a phase regulation function, when a beam of circularly polarized light passes through a nano-brick structure unit with a turning angle alpha and the function of the beam of circularly polarized light is equivalent to that of the half-wave plate, the beam of circularly polarized light is modulated by the nano-brick structure unit into circularly polarized light with opposite turning directions, a geometric phase delay of +/-2 alpha is added, and when the alpha is 0, the circularly polarized light with opposite turning directions carries a transmission phase, which is the super-surface phase modulation principle in the invention.
The dimensional parameters comprise the long axis L, the short axis W, the height H and the side length C of the working surface of the substrate of the nano brick structural unit. The steps are completed by utilizing the existing electromagnetic simulation software platform. The cross polarization means that left-handed circularly polarized light is converted into right-handed circularly polarized light or right-handed circularly polarized light is converted into left-handed circularly polarized light; the homotropic polarization means that the rotation direction of the left circularly polarized light or the right circularly polarized light is not changed.
In this embodiment, three sets of standby size parameters are obtained after optimization, where the first set of size parameters is: l is 160nm, W is 100nm, H is 230nm, C is 340 nm; the second set of dimensional parameters is: 190nm for L, 110nm for W, 230nm for H, 340nm for C; the third set of dimensional parameters is: l-240 nm, W-125 nm, H-230 nm, C-340 nm. Here, L, W, H, C refers to the length, width, height, and period size, respectively, of the dielectric nanoballs in the reflective nanoball array. Under three sets of geometric parameters, the polarization conversion reflectivity of the nano-brick structure in the reflective super-surface array is shown in fig. 2, and the transmission phase curve diagram is shown in fig. 3.
S3: designing a multiplexing image I, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image I
And designing a multiplexing image II, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image II
For convenience of description, in the present embodiment, the first multiplexed image and the second multiplexed image are both designed as binary images, and certainly, in other embodiments, other images may be selected as the multiplexed image according to actual needs, and in the present embodiment, the number of the nano-brick structure units is consistent with the number of pixels of the multiplexed image, that is, one nano-brick unit corresponds to a pixel of one multiplexed image, and in the present embodiment, the size of the multiplexed image is selected to be 500 × 500 pixels.
Calculating and recording the phase distribution condition corresponding to the two multiplexing images according to the selected working wavelength lambda, the multiplexing image I and the multiplexing image II; in particular, the amount of the solvent to be used,
the corresponding amplitude distribution and phase distribution when the multiplexed image I is displayed are shown in FIG. 4, and the phase recorded by the interference of the nano-brick structure unit corresponding to each pixel point in the multiplexed image I
The calculation formula of (2) is as follows:
where C is a constant, a (x, y) is the amplitude and phase of each pixel when a multiplexed image is displayed, R (x, y) is a complex amplitude distribution for interference recording of reference light, and R (x, y) is 1;
the amplitude distribution and phase distribution corresponding to the multiplexed image II are shown in FIG. 5, and the phase recorded by the interference of the nano-brick structure unit corresponding to each pixel point in the multiplexed image II
The calculation formula of (2) is as follows:
where C is a constant, B (x, y) is the amplitude and phase of each pixel when the multiplexed image two is displayed, R (x, y) is a complex amplitude distribution for interference recording of the reference light, and R (x, y) is 1.
S4: the phase recorded by the interference of each nano-brick structure unit corresponding to the multiplexed image obtained in the step S3
Phase recorded by interference of each nano-brick structure unit corresponding to the second multiplexing image
Calculating the geometric phase phi (x, y) and the transmission phase psi (x, y) of each nano-brick structure unit in the super-surface array, and calculating the nano-brick steering angle alpha (x, y) of each nano-brick structure unit according to the geometric phase phi (x, y);
the calculation formula of the geometric phase phi (x, y) is as follows:
the geometric phase Φ (x, y) calculation of the super-surface array is shown in fig. 6; the turning angle α (x, y) of a nano-brick structure unit is equal to half the size of the geometric phase Φ (x, y) of the nano-brick structure unit, i.e. it is
Then according to the calculated phase distribution of two multiplexed images
And
calculating the transmission phase psi (x, y) of each nano-brick structure unit, wherein the calculation formula is as follows:
s5: and selecting the size parameters corresponding to the nano-brick structure units at each position in the super-surface array from the multiple sets of candidate size parameters obtained in the step S1 according to the transmission phase Ψ (x, y) distribution obtained in the step S4, and arranging the nano-brick structure units corresponding to the size parameters at each position according to the nano-brick steering angle α (x, y) calculated in the step S4, thereby obtaining the required super-surface material. The super surface material is manufactured by vertically incident circularly polarized light with a spin angular momentum, a multiplexed image I is displayed in a near field of the super surface material, the spin angular momentum of the incident circularly polarized light is changed, and a multiplexed image II is displayed in the near field of the super surface material, specifically, as shown in FIG. 8.
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention.
Claims (9)
1. A design method of a super surface material for realizing near-field spin angular momentum multiplexing is characterized by comprising the following steps:
s1: constructing a super-surface array, wherein the super-surface array comprises a plurality of nano brick structure units which are periodically arranged, each nano brick structure unit comprises a substrate working surface and a nano brick arranged on the substrate working surface, and the nano brick steering angle of each nano brick structure unit is alpha (x, y);
s2: optimizing to obtain multiple groups of optional size parameters of the nano-brick structure unit which is functionally equivalent to a half-wave plate when linearly polarized light with the working wavelength is vertically incident;
s3: designing a multiplexing image I, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image I
And designing a multiplexing image II, and calculating the phase of the interference record of the nano-brick structure unit corresponding to each pixel point according to the amplitude distribution and the phase distribution required by the display of the multiplexing image II
S4: the phase recorded by the interference of each nano-brick structure unit corresponding to the multiplexed image obtained in the step S3
Phase recorded by interference of each nano-brick structure unit corresponding to the second multiplexing image
Calculating the geometric phase phi (x, y) and the transmission phase psi (x, y) of each nano-brick structure unit in the super-surface array, and calculating the nano-brick steering angle alpha (x, y) of each nano-brick structure unit according to the geometric phase phi (x, y);
s5: and selecting the size parameters corresponding to the nano-brick structure units at each position in the super-surface array from the multiple sets of candidate size parameters obtained in the step S1 according to the transmission phase Ψ (x, y) distribution obtained in the step S4, and arranging the nano-brick structure units corresponding to the size parameters at each position according to the nano-brick steering angle α (x, y) calculated in the step S4, thereby obtaining the required super-surface material.
2. The design method of the metamaterial for realizing near-field spin angular momentum multiplexing as claimed in claim 1, wherein a xoy coordinate system is established by setting directions parallel to two sides of the working surface as an x axis and a y axis respectively, the nano-brick has a major axis L and a minor axis W on a surface parallel to the working surface, and the nano-brick steering angle α (x, y) is an angle between the major axis L of the nano-brick and the x axis.
3. The design method of metamaterial for realizing near-field spin angular momentum multiplexing as claimed in claim 1, wherein the dimension parameters of the nano-brick structure units include the major axis L, the minor axis W and the height H of the nano-brick and the dimension of the substrate working face side length C, and the major axis L is not equal to the minor axis W.
4. The method of claim 1, wherein in step S3, the phase recorded by the interference of the nano-brick structure units corresponding to each pixel point in the first multiplexed image is multiplexed
The calculation formula of (2) is as follows:
where C is a constant, a (x, y) is the amplitude and phase of each pixel when a multiplexed image is displayed, R (x, y) is a complex amplitude distribution for interference recording of reference light, and R (x, y) is 1;
phase positions of interference records of nano-brick structure units corresponding to all pixel points in the multiplexed image II
The calculation formula of (2) is as follows:
where C is a constant, B (x, y) is the amplitude and phase of each pixel when the multiplexed image two is displayed, R (x, y) is a complex amplitude distribution for interference recording of the reference light, and R (x, y) is 1.
5. The design method of the meta-surface material for realizing near-field spin angular momentum multiplexing of claim 1, wherein in step S4, the geometric phase Φ (x, y) of each nano-brick structure unit in the meta-surface array is calculated as:
wherein the turning angle α (x, y) of a nano-brick structure unit is equal to half the geometric phase Φ (x, y) of the nano-brick structure unit, i.e.
The transmission phase Ψ (x, y) of each nanoblock structure unit in the super-surface array is calculated as:
6. the design method of the metamaterial for realizing near-field spin angular momentum multiplexing as claimed in claim 1, wherein the substrate working surface is made of alumina material and the nano-brick is made of crystalline silicon material.
7. The design method of the metamaterial for realizing near-field spin angular momentum multiplexing as claimed in claim 1, wherein the operating wavelength is visible light band, and wherein the operating wavelength λ is 633 nm.
8. A metamaterial surface material obtained by the design method for metamaterial surface materials for enabling near field spin angular momentum multiplexing according to any one of claims 1 to 7.
9. The metamaterial for realizing near-field spin angular momentum multiplexing as claimed in claim 8, wherein the metamaterial is vertically incident with circularly polarized light of a spin angular momentum, a multiplexed image I is displayed in a near field of the metamaterial, the spin angular momentum of the incident circularly polarized light is changed, and a multiplexed image II is displayed in a near field of the metamaterial.
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