CN114966940A - Laminated nanostructure-based complex amplitude regulation super surface and design method thereof - Google Patents
Laminated nanostructure-based complex amplitude regulation super surface and design method thereof Download PDFInfo
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- 239000002086 nanomaterial Substances 0.000 title claims abstract description 37
- 230000033228 biological regulation Effects 0.000 title claims abstract description 30
- 238000000034 method Methods 0.000 title claims abstract description 14
- 238000013461 design Methods 0.000 title abstract description 10
- 239000011449 brick Substances 0.000 claims abstract description 200
- 230000001105 regulatory effect Effects 0.000 claims abstract description 27
- 238000002955 isolation Methods 0.000 claims abstract description 24
- 239000000758 substrate Substances 0.000 claims abstract description 20
- 230000001276 controlling effect Effects 0.000 claims abstract description 11
- 230000005540 biological transmission Effects 0.000 claims description 20
- 239000000463 material Substances 0.000 claims description 17
- 230000010287 polarization Effects 0.000 claims description 16
- 230000000694 effects Effects 0.000 claims description 8
- GWEVSGVZZGPLCZ-UHFFFAOYSA-N Titan oxide Chemical compound O=[Ti]=O GWEVSGVZZGPLCZ-UHFFFAOYSA-N 0.000 claims description 6
- 238000005457 optimization Methods 0.000 claims description 6
- 238000004088 simulation Methods 0.000 claims description 5
- 229910052710 silicon Inorganic materials 0.000 claims description 4
- 239000010703 silicon Substances 0.000 claims description 4
- 229910052581 Si3N4 Inorganic materials 0.000 claims description 3
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 claims description 3
- 239000005350 fused silica glass Substances 0.000 claims description 3
- HQVNEWCFYHHQES-UHFFFAOYSA-N silicon nitride Chemical compound N12[Si]34N5[Si]62N3[Si]51N64 HQVNEWCFYHHQES-UHFFFAOYSA-N 0.000 claims description 3
- 239000004408 titanium dioxide Substances 0.000 claims description 3
- 125000006850 spacer group Chemical group 0.000 claims 1
- 239000002131 composite material Substances 0.000 description 6
- 230000003287 optical effect Effects 0.000 description 5
- 239000002102 nanobead Substances 0.000 description 4
- 238000012545 processing Methods 0.000 description 3
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N Silicium dioxide Chemical compound O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 239000011521 glass Substances 0.000 description 2
- 241000220225 Malus Species 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
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- 230000008878 coupling Effects 0.000 description 1
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Abstract
The invention belongs to the technical field of optics, and discloses a complex amplitude regulation and control super surface based on a laminated nano structure and a design method thereof. The first nano brick and the second nano brick in the super surface are both used for realizing the function of a quarter-wave plate, circularly polarized light enters the substrate layer and is emitted after passing through the first nano brick array layer, the isolation layer and the second nano brick array layer in sequence, circularly polarized light in emergent light, the rotating direction of which is opposite to that of the incident circularly polarized light, is regulated and controlled by complex amplitude, and the regulating and controlling amount of the complex amplitude regulation and control is determined by the steering angle of the first nano brick and the steering angle of the second nano brick. The invention can realize continuous and precise complex amplitude regulation and control by changing the steering angle of the nano structure without changing the size of the nano structure and increasing the size of the unit structure.
Description
Technical Field
The invention belongs to the technical field of optics, and particularly relates to a composite amplitude regulation and control super surface based on a laminated nano structure and a design method thereof.
Background
Optical elements such as prisms, lenses, binary optical elements and the like can only regulate and control the phase of light waves, optical materials such as photographic negatives and the like can only regulate and control the amplitude of the light waves, and how to realize the simultaneous and independent regulation and control of the amplitude and the phase is particularly important in the fields of holography, wavefront correction and the like, but the traditional optical elements cannot regulate and control the amplitude and the phase at present.
The super-surface is a two-dimensional artificial composite material with a sub-wavelength structure array carved on the surface of a common optical material, and shows unprecedented capacity in the aspect of precisely regulating and controlling a light wave electromagnetic field. The super surface has made many advances in the aspect of light wave phase regulation, and continuous precise amplitude regulation is realized by methods such as the Malus law and the like. Researchers have thus focused on achieving complex amplitude modulation using a hypersurface.
The current method for realizing complex amplitude regulation by using a super surface comprises the following steps: changing the arm length and the included angle of the two arms of the V-shaped nano structure, changing the steering angle of the two arms of the X-shaped structure, changing the arm length/width and the steering angle of the cross-shaped nano structure, changing the size and the steering angle of the nano brick structure and changing the steering angle of the diatomic nano structure. However, these methods either change the size of the nanostructure, increase the precision requirement for processing, or make the unit structure size larger, and reduce the spatial resolution of light wave modulation. How to realize continuous and precise complex amplitude regulation without changing the size of the nanostructure and increasing the size of the unit structure is a technical problem to be solved in the field.
Disclosure of Invention
The invention provides a laminated nanostructure-based complex amplitude regulation super surface and a design method thereof, and solves the problem that continuous and precise complex amplitude regulation cannot be realized in the prior art under the conditions of not changing the size of a nanostructure and not increasing the size of a unit structure.
The invention provides a composite amplitude regulation super surface based on a laminated nano structure, which comprises the following components: the substrate layer, the first nano brick array layer, the isolation layer and the second nano brick array layer;
the substrate layer is divided into a plurality of unit structures with the same size, the first nano-brick array layer comprises a plurality of first nano-bricks with the same size, the second nano-brick array layer comprises a plurality of second nano-bricks with the same size, and the number of the second nano-bricks is the same as that of the first nano-bricks; the working surface of each unit structure is provided with one first nano brick, one second nano brick is arranged corresponding to one first nano brick, and the isolation layer is used for isolating the first nano brick from the second nano brick;
the first nano brick and the second nano brick are used for realizing the function of a quarter-wave plate; circularly polarized light enters the substrate layer and is emitted after passing through the first nano brick array layer, the isolation layer and the second nano brick array layer in sequence, and circularly polarized light in the emergent light, which is opposite to the rotating direction of the incident circularly polarized light, is regulated and controlled by complex amplitude; the regulation quantity of the complex amplitude regulation is determined by the steering angle of the first nano brick and the steering angle of the second nano brick.
Preferably, the working surface of the unit structure is square, the first nano brick and the second nano brick are both cuboid, and the unit structure, the first nano brick and the second nano brick are all sub-wavelength; two right-angle sides of the unit structure are taken as an x axis and a y axis; taking the long side of the first nano brick as a first long axis and the short side of the first nano brick as a first short axis; the long side of the second nano brick is taken as a second long axis, and the short side of the second nano brick is taken as a second short axis; the turning angle of the first nano brick is the included angle between the first long shaft and the x axis, and the turning angle of the second nano brick is the included angle between the second long shaft and the x axis.
Preferably, the isolation layer is located between the substrate layer and the second nano-brick array layer, and covers the first nano-brick array layer.
Preferably, the thickness of the isolation layer is half the wavelength of the incident circularly polarized light.
Preferably, the substrate layer and the isolation layer are both made of fused quartz glass material; the first nano brick and the second nano brick are made of the same material and are made of one of silicon, titanium dioxide and silicon nitride.
Preferably, the first nano-brick is opposite to the incident circularly polarized light
The effect of (a) is expressed as:
in the formula, theta 1 Is the steering angle of the first nano-brick;
the circularly polarized light passes through the first nano brick to obtain first transmitted light and second transmitted light, and the energy of the first transmitted light and the energy of the second transmitted light are equal; the phase modulation amount of the first transmission light is 0, and the phase modulation amount of the second transmission light is 2 theta 1 。
Preferably, the effect of the second nano-brick on the incident first transmitted light and the second transmitted light is expressed as:
in the formula, theta 2 Is the steering angle of the second nano-brick;
after passing through the second nano-brick, the light wave is in contact with the incident circularly polarized light
Circularly polarized light with opposite rotation directions
The complex amplitude regulating quantity is as follows:
the amplitude of circularly polarized light opposite to the incident circularly polarized light in the emitted light is controlled to be cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 )。
In another aspect, the present invention provides a method for designing a complex amplitude modulated super-surface based on stacked nanostructures, comprising the following steps:
establishing an xoy coordinate system by taking two right-angle sides of the unit structure as an x axis and a y axis, selecting the working wavelength of incident circularly polarized light, and selecting materials of a first nano brick and a second nano brick;
based on the working wavelength, based on the materials of the first nanometer brick and the second nanometer brick, modeling and simulating by adopting electromagnetic simulation software, when the steering angles of the first nanometer brick and the second nanometer brick are both 0, linearly polarized light along the directions of an x axis and a y axis in the polarization direction is incident perpendicular to the working surface, the transmission coefficients of the two emergent linearly polarized light are both larger than a first preset value, and the phase difference is 90 degrees, and the size parameters of the unit structure, the first nanometer brick and the second nanometer brick are obtained by optimization under the working wavelength, so that the first nanometer brick and the second nanometer brick are equivalent to a quarter-wave plate;
the amplitude of circularly polarized light opposite to the incident circularly polarized light in the emitted light is controlled to be cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 ) (ii) a Regulating and controlling the steering angle theta of the first nano brick according to the amplitude regulating and controlling quantity and the phase regulating and controlling quantity 1 And the steering angle theta of the second nano-brick 2 。
Preferably, when the simulation is established by using electromagnetic simulation software, the following information is obtained: the transmission coefficients of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the phase regulating values of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the transmission coefficients of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, and the phase regulating values of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction.
Preferably, the first preset value is 0.9.
One or more technical schemes provided by the invention at least have the following technical effects or advantages:
in the invention, the first nano brick and the second nano brick in the super surface are both used for realizing the function of a quarter-wave plate, circularly polarized light is incident to the substrate layer and is emitted after passing through the first nano brick array layer, the isolation layer and the second nano brick array layer in sequence, circularly polarized light in emergent light, which is opposite to the incident circularly polarized light in rotation direction, is regulated and controlled by complex amplitude, and the regulation and control quantity of the complex amplitude regulation and control is determined by the steering angle of the first nano brick and the steering angle of the second nano brick. The invention can realize continuous and precise complex amplitude regulation and control by changing the steering angle of the nano structure without changing the size of the nano structure and increasing the size of the unit structure. The invention has relatively low processing precision requirement and resolution reaching sub-wavelength magnitude.
Drawings
Fig. 1 is a schematic diagram of a complex amplitude modulated super-surface nano-unit structure based on a stacked nano-structure according to an embodiment of the present invention;
fig. 2 is a graph of the change of the transmission coefficients of the long axis and the short axis of the first nanobead in the complex amplitude-modulated super-surface based on the stacked nanostructure according to the embodiment of the present invention;
fig. 3 is a graph showing the phase changes of the long axis and the short axis of the first nanobead in the complex amplitude modulated super-surface according to the wavelength, based on the stacked nanostructure according to the embodiment of the present invention;
fig. 4 is a graph of the change of the transmission coefficients of the long axis and the short axis of the second nanobead in the complex amplitude-modulated super-surface based on the stacked nanostructure according to the embodiment of the present invention;
fig. 5 is a graph showing the phase changes of the long axis and the short axis of the second nanobead in the complex amplitude modulated super-surface according to the wavelength, based on the stacked nanostructure provided in the embodiment of the present invention;
FIG. 6 shows an embodiment of the present invention, which provides a stacked nanostructure-based composite amplitude modulated super-surface amplitude and phase modulation amount, and a turning angle θ of a first nano-brick 1 And the steering angle theta of the second nano-brick 2 A relationship diagram of (1); wherein, FIG. 6(a) shows the amplitude and θ 1 、θ 2 FIG. 6(b) is a graph showing the relationship between the phase control amount and θ 1 、θ 2 A graph of the relationship (c).
Detailed Description
In order to better understand the technical solution, the technical solution will be described in detail with reference to the drawings and the specific embodiments.
Example 1:
Specifically, circularly polarized light enters the substrate layer and is emitted after passing through the first nano brick array layer, the isolation layer and the second nano brick array layer in sequence, and circularly polarized light in emergent light, which is opposite to the incident circularly polarized light in rotation direction, is regulated and controlled by complex amplitude; the regulation quantity of the complex amplitude regulation is determined by the steering angle of the first nano brick and the steering angle of the second nano brick. It should be noted that the circularly polarized light in the emergent light, which is not opposite to the incident circularly polarized light in rotation direction, cannot be subjected to complex amplitude regulation, is not a part concerned by the present invention, and can be filtered out by adding a circular analyzer in the light path.
The substrate layer is divided into a plurality of unit structures, the working surface of each unit structure is a square with the side length of C, the side length of C is a sub-wavelength level, one first nano brick is arranged on each working surface, the first nano brick is cuboid, and the structural size of the first nano brick is as follows: the length L1, the width W1 and the height H1 are all sub-wavelength levels, and the structural dimension is obtained by electromagnetic simulation optimization according to the selected working wavelength of incident circularly polarized light and the material of a nano brick.
Establishing an xoy coordinate system by taking two right-angle sides of the unit structure as an x axis and a y axis, taking the long side of the first nano brick as a first long axis and the short side of the first nano brick as a first short axis, and taking the included angle between the first long axis and the x axis as the steering angle theta of the first nano brick 1 。
The isolation layer is used for isolating the first nano-brick from the second nano-brick, namely the first nano-brick and the second nano-brick are connected through the isolation layer. In a specific design, the isolation layer is between the substrate layer and the second nano-brick array layer and covers the first nano-brick array layer. The thickness of the isolation layer is half the wavelength of the incident circularly polarized light.
The distance between the first nano-brick and the second nano-brick may be too close to generate coupling and too far away to generate diffraction, and thus the thickness of the isolation layer may be set to be in a range from half a wavelength to one wavelength, preferably half a wavelength, of an operating wavelength of incident circularly polarized light.
The second nano brick is cuboid, and the structural size of the second nano brick is as follows: the length L2, the width W2 and the height H2 are all sub-wavelength levels and are obtained by electromagnetic simulation optimization according to the selected working wavelength of incident circularly polarized light and the material of a nano brick. The long side of the second nano brick is a second long axis, the short side of the second nano brick is a second short axis, and the included angle between the second long axis and the x axis is a steering angle theta 2 of the second nano brick.
The substrate layer is a transparent substrate, the substrate layer and the isolation layer can be made of fused quartz glass materials, and the first nano brick and the second nano brick are made of the same materials, including but not limited to silicon, titanium dioxide, silicon nitride and the like.
On the basis of the technical scheme, through optimization design, the first nano brick and the second nano brick can realize the function of the quarter-wave plate under the working wavelength.
The first nano-brick is used for the incident circularly polarized light
The effect of (a) is expressed as:
in the formula, theta 1 The steering angle of the first nano brick is the included angle between the first long axis and the x axis; the circularly polarized light passes through the first nano brick to obtain first transmitted light and second transmitted light, and the energy of the first transmitted light and the energy of the second transmitted light are equal; the phase modulation amount of the first transmission light is 0, and the phase modulation amount of the second transmission light is 2 theta 1 。
That is, when circularly polarized light (here, circularly polarized light of a certain rotation direction, such as left circularly polarized light) is incident on the first nano-brick, the transmitted light can be expressed as:
it can be seen that a part of the transmitted light has no change in its handedness and no phase modulation, and is denoted as first transmitted light; the other part of the rotation direction is changed, and phase modulation is generated, and the phase modulation amount is 2 theta 1 And is denoted as the second transmitted light.
The effect of the second nano-tile on the incident first transmitted light, the second transmission is expressed as:
in the formula, theta 2 The turning angle of the second nano brick is the included angle between the second long axis and the x axis.
After the light wave passes through the second nano-brick, circularly polarized light with the opposite rotating direction to the incident circularly polarized light
The complex amplitude regulating quantity is as follows:
it can be seen that the amplitude modulation amount of the circularly polarized light in the outgoing light wave is cos (θ) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 ). By regulating theta 1 And theta 2 The magnitude of the amplitude can realize random continuous complex amplitude regulation and control. Amplitude and phase control amount and theta 1 And theta 2 FIG. 6 shows a relationship between amplitude and θ in FIG. 6(a) 1 、θ 2 FIG. 6(b) is a graph showing the relationship between the phase control amount and θ 1 、θ 2 A graph of the relationship (c).
Example 2:
embodiment 2 provides a method for designing a stacked nanostructure-based complex amplitude modulated super-surface as provided in embodiment 1, including the following steps:
establishing an xoy coordinate system by taking two right-angle sides of the unit structure as an x axis and a y axis, selecting the working wavelength of incident circularly polarized light, and selecting materials of a first nano brick and a second nano brick;
based on the working wavelength, based on the materials of the first nanometer brick and the second nanometer brick, modeling and simulating by adopting electromagnetic simulation software, when the steering angles of the first nanometer brick and the second nanometer brick are both 0, linearly polarized light along the directions of an x axis and a y axis in the polarization direction is incident perpendicular to the working surface, the transmission coefficients of the two emergent linearly polarized light are both larger than a first preset value, and the phase difference is 90 degrees, and the size parameters of the unit structure, the first nanometer brick and the second nanometer brick are obtained by optimization under the working wavelength, so that the first nanometer brick and the second nanometer brick are equivalent to a quarter-wave plate;
the amplitude of the circularly polarized light opposite to the incident circularly polarized light in the emergent light is controlled by cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 ) (ii) a Regulating and controlling the steering angle theta of the first nano brick according to the amplitude regulating and controlling quantity and the phase regulating and controlling quantity 1 And the steering angle theta of the second nano-brick 2 。
When the simulation is established by adopting electromagnetic simulation software, the following information is obtained: the transmission coefficients of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the phase regulating values of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the transmission coefficients of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, and the phase regulating values of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction.
The following description is made with reference to specific parameters.
Taking the working wavelength λ of incident circularly polarized light as 633nm, taking silicon as an example for a material of a nano brick, modeling and simulating by using electromagnetic simulation software, when the steering angle of the first nano brick and the steering angle of the second nano brick are both 0, linearly polarized light is incident perpendicular to a working surface, and the structural parameters of the unit structure, the first nano brick and the second nano brick are obtained by scanning under the working wavelength, including L1, W1, H1, L2, W2, H2 and C.
Specifically, linearly polarized light with the polarization direction along the x-axis direction and the y-axis direction is vertically incident, the transmission coefficients of the two emergent linearly polarized light are both greater than 0.9, the phase difference is 90 degrees, and the optimized objects are used, and the structural parameters of the optimized nano-unit structure are as follows: l1-200 nm, W1-110 nm, H1-400 nm, L2-220 nm, W2-110 nm, H2-350 nm, and C-300 nm. At this time, the transmission coefficients and the phase control values of the first nano-brick and the second nano-brick for two linearly polarized light beams are as shown in fig. 2 to 5. Therefore, under the optimized nano unit structure parameters, the first nano brick and the second nano brick can be equivalent to a quarter wave plate.
Then, the amplitude of circularly polarized light opposite to the incident circularly polarized light in the outgoing light is adjusted to cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 ) The steering angle theta of the first nano-brick can be regulated and controlled according to the amplitude regulation quantity and the phase regulation quantity of the target 1 And the steering angle theta of the second nano-brick 2 And finishing the design of the complex amplitude regulation and control super surface based on the laminated nano structure.
The composite amplitude regulation and control super surface based on the laminated nano structure and the design method thereof provided by the embodiment of the invention at least comprise the following technical effects:
(1) the laminated super surface provided by the invention only needs to change the corner of the nano structure without changing the shape and the size of the nano structure, reduces the requirement on the processing precision and is beneficial to realizing continuous and precise regulation and control of complex amplitude.
(2) The laminated super surface provided by the invention is designed based on a single cell structure, and the resolution is greatly improved compared with the design of super cells such as diatom structures and the like.
(3) The sizes of the nano unit structures in the invention are all sub-wavelength levels, so that the laminated super-surface designed by the invention has small volume, light weight and high integration, and is suitable for the development of miniaturization and micromation in the future.
Finally, it should be noted that the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, and although the present invention has been described in detail with reference to examples, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, which should be covered by the claims of the present invention.
Claims (10)
1. A stacked nanostructure-based complex amplitude modulated meta-surface, comprising: the substrate layer, the first nano brick array layer, the isolation layer and the second nano brick array layer;
the substrate layer is divided into a plurality of unit structures with the same size, the first nano brick array layer comprises a plurality of first nano bricks with the same size, the second nano brick array layer comprises a plurality of second nano bricks with the same size, and the number of the second nano bricks is the same as that of the first nano bricks; the working surface of each unit structure is provided with one first nano brick, one second nano brick is arranged corresponding to one first nano brick, and the isolation layer is used for isolating the first nano brick from the second nano brick;
the first nano brick and the second nano brick are used for realizing the function of a quarter-wave plate; circularly polarized light enters the substrate layer and is emitted after passing through the first nano brick array layer, the isolation layer and the second nano brick array layer in sequence, and circularly polarized light in the emergent light, which is opposite to the rotating direction of the incident circularly polarized light, is regulated and controlled by complex amplitude; the regulation quantity of the complex amplitude regulation is determined by the steering angle of the first nano brick and the steering angle of the second nano brick.
2. The stacked nanostructure-based complex amplitude modulated metasurface of claim 1, wherein a working surface of the unit structure is square, the first and second nanobricks are cuboid, and the unit structure, the first and second nanobricks are sub-wavelength; two right-angle sides of the unit structure are taken as an x axis and a y axis; taking the long side of the first nano brick as a first long axis and the short side of the first nano brick as a first short axis; the long side of the second nano brick is taken as a second long axis, and the short side of the second nano brick is taken as a second short axis; the turning angle of the first nano brick is the included angle between the first long shaft and the x axis, and the turning angle of the second nano brick is the included angle between the second long shaft and the x axis.
3. The stacked nanostructure-based complex amplitude modulated metasurface of claim 1, wherein the isolation layer is located between the base layer and the second nanobrick array layer and covers the first nanobrick array layer.
4. The stacked nanostructure-based complex amplitude modulated metasurface of claim 1, wherein the spacer layer has a thickness of half the wavelength of the incident circularly polarized light.
5. The stacked nanostructure-based complex amplitude modulated subsurface according to claim 1, wherein the substrate layer and the isolation layer are both made of fused silica glass material; the first nano brick and the second nano brick are made of the same material and are made of one of silicon, titanium dioxide and silicon nitride.
6. The stacked nanostructure-based complex amplitude modulated metasurface of claim 1, wherein the first nanoblock couples to the incident circularly polarized light
The effect of (a) is expressed as:
in the formula, theta 1 Is the steering angle of the first nano-brick;
the circularly polarized light passes through the first nano brick to obtain first transmitted light and second transmitted light, and the energy of the first transmitted light and the energy of the second transmitted light are equal; the phase modulation amount of the first transmission light is 0, and the phase modulation amount of the second transmission light is 2 theta 1 。
7. The stacked nanostructure-based complex amplitude modulated metasurface of claim 6, wherein the effect of the second nanoblock on the incident first and second transmitted light is expressed as:
in the formula, theta 2 Is the steering angle of the second nano-brick;
after passing through the second nano-brick, the light wave is in contact with the incident circularly polarized light
Circularly polarized light with opposite rotation directions
The complex amplitude regulating quantity is as follows:
the amplitude of circularly polarized light opposite to the incident circularly polarized light in the emitted light is controlled to be cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 )。
8. A method for designing a stacked nanostructure-based complex amplitude modulated metasurface according to any one of claims 1 to 7, comprising the steps of:
establishing an xoy coordinate system by taking two right-angle sides of the unit structure as an x axis and a y axis, selecting the working wavelength of incident circularly polarized light, and selecting materials of a first nano brick and a second nano brick;
based on the working wavelength, based on the materials of the first nanometer brick and the second nanometer brick, modeling and simulating by adopting electromagnetic simulation software, when the steering angles of the first nanometer brick and the second nanometer brick are both 0, linearly polarized light along the directions of an x axis and a y axis in the polarization direction is incident perpendicular to the working surface, the transmission coefficients of the two emergent linearly polarized light are both larger than a first preset value, and the phase difference is 90 degrees, and the size parameters of the unit structure, the first nanometer brick and the second nanometer brick are obtained by optimization under the working wavelength, so that the first nanometer brick and the second nanometer brick are equivalent to a quarter-wave plate;
the amplitude of circularly polarized light opposite to the incident circularly polarized light in the emitted light is controlled to be cos (theta) 1 -θ 2 ) The phase adjustment amount is (theta) 1 +θ 2 ) (ii) a Regulating and controlling the steering angle theta of the first nano brick according to the amplitude regulating and controlling quantity and the phase regulating and controlling quantity 1 And the steering angle theta of the second nano-brick 2 。
9. The method of claim 8, wherein the creating a simulation using electromagnetic simulation software comprises obtaining the following information: the transmission coefficients of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the phase regulating values of the first nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, the transmission coefficients of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction, and the phase regulating values of the second nano-bricks to linearly polarized light in the polarization directions along the x-axis direction and the y-axis direction.
10. The method of claim 8, wherein the first predetermined value is 0.9.
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