CN115347374A - Super surface unit structure and electromagnetic wave amplitude and phase regulating device - Google Patents

Super surface unit structure and electromagnetic wave amplitude and phase regulating device Download PDF

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CN115347374A
CN115347374A CN202110516208.9A CN202110516208A CN115347374A CN 115347374 A CN115347374 A CN 115347374A CN 202110516208 A CN202110516208 A CN 202110516208A CN 115347374 A CN115347374 A CN 115347374A
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electromagnetic wave
amplitude
phase
orientation angle
super
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武超
李�权
张智辉
赵松
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Dongguan Kefu Precision Manufacturing Co ltd
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Dongguan Kefu Precision Manufacturing Co ltd
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    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/0006—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices
    • H01Q15/0086—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices having materials with a synthesized negative refractive index, e.g. metamaterials or left-handed materials
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/0006—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices
    • H01Q15/0013—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices working as frequency-selective reflecting surfaces, e.g. FSS, dichroic plates, surfaces being partly transmissive and reflective
    • H01Q15/002—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices working as frequency-selective reflecting surfaces, e.g. FSS, dichroic plates, surfaces being partly transmissive and reflective said selective devices being reconfigurable or tunable, e.g. using switches or diodes
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/0006—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices
    • H01Q15/0013—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices working as frequency-selective reflecting surfaces, e.g. FSS, dichroic plates, surfaces being partly transmissive and reflective
    • H01Q15/0026—Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices said selective devices working as frequency-selective reflecting surfaces, e.g. FSS, dichroic plates, surfaces being partly transmissive and reflective said selective devices having a stacked geometry or having multiple layers
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/28—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the amplitude
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/30—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01Q—ANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/30—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array
    • H01Q3/34—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array by electrical means

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Abstract

The invention relates to a super-surface unit structure and an electromagnetic wave amplitude and phase regulation device, belongs to the technical field of super-surface electromagnetic regulation and control, and solves the problems that the structure size parameter needs to be changed when electromagnetic waves are subjected to full-range independent and continuous amplitude and phase regulation and control, the regulation and control mode lacks theoretical support, and the regulation and control efficiency is low in the prior art. The unit structure comprises two cascaded element structures with the same structure; the element structure comprises a dielectric substrate and two identical circular conductor patches symmetrically attached to two sides of the dielectric substrate; the dielectric substrate and the two circular conductor patches have the same geometric center; the circular conductor patch is provided with a C-shaped hole type resonance ring and is made of a corresponding perfect electric conductor under the electromagnetic wave frequency band; the amplitude and the phase of the electromagnetic wave can be independently and continuously regulated and controlled by adjusting the orientation angles of the two element structures without changing the size parameters of the unit structures, and the regulation and control are flexible and efficient.

Description

Super surface unit structure and electromagnetic wave amplitude and phase regulation and control device
Technical Field
The invention relates to the technical field of super-surface electromagnetic regulation, in particular to a super-surface unit structure and an electromagnetic wave amplitude and phase regulation device.
Background
With the development of science and technology, the scientific research and the scientific invention based on electromagnetic waves have penetrated into the aspects of human daily life, and especially have wide application in the fields of communication, imaging, navigation, detection and the like. The amplitude, phase and polarization are the basic attributes of electromagnetic waves, which determine the propagation properties of the electromagnetic waves, and how to efficiently regulate the amplitude and phase of the electromagnetic waves is a hot issue in the field of electromagnetic wave research. In recent years, the flexible regulation and control of electromagnetic waves are more and more realized by designing a unit structure to construct a super surface, and the key point of designing the super surface is the regulation and control of the unit structure on the scattering characteristics of the phase, amplitude, polarization and combination of the electromagnetic waves. In recent years, a plurality of amplitude and phase regulation units are designed, and the super surface constructed by the amplitude and phase regulation units is more excellent in various aspects compared with a pure phase super surface, such as the holographic imaging resolution can be improved, and directional radiation, radar scattering cross section reduction, multi-beam design and the like can be realized. The modulation of the complex amplitude of the electromagnetic wave can be realized by changing the regulation and control of a plurality of degrees of freedom such as the size, the direction and the like of the unit structure. However, it is still very necessary to find an accurate and versatile way to achieve full-range complex amplitude modulation of the cell structure.
There are many types of current methods for designing the unit structure of the super surface. Firstly, based on a Huygens super surface unit structure, complex amplitude modulation is realized by regulating and controlling electromagnetic response by changing the size of the unit structure; secondly, realizing linear polarization amplitude and phase regulation super surface with binary phase modulation by utilizing rotation of the unit structure; thirdly, a pure phase super surface of a circular cross polarization phase regulation unit structure based on a geometric phase Pancharatnam-Berry (PB) principle; fourthly, the structure of the amplitude-phase unit is regulated and controlled in a full range by utilizing the included angle of the two arms of the X-shaped structure and rotation.
The prior art has at least the following defects that firstly, the Huygens super surface unit structure has the function of simultaneously regulating and controlling electromagnetic response, can be used for high-efficiency complex amplitude regulation and control, but has complex unit structure design and lacks of a universal regulation and control rule; secondly, the linear polarization amplitude and phase regulation super-surface unit structure with binary phase modulation can only obtain binary phases, and the size of the unit structure needs to be adjusted to realize independent and continuous amplitude and phase regulation in the whole range; thirdly, when the amplitude is regulated and controlled, the size parameters of the unit structure need to be changed, no corresponding regulation and control rule exists for regulating and controlling the size of the unit structure, and the regulation and control efficiency is low; fourthly, when the X-shaped unit structure is used for regulation, although the regulation of the amplitude and the phase in the full range can be supported, the efficiency is not high, and the coupling effect of the unit structure is lack of corresponding theoretical support.
Disclosure of Invention
In view of the above analysis, the present invention aims to provide a super-surface unit structure and an electromagnetic wave amplitude and phase control device, so as to solve the problems in the prior art that the electromagnetic wave is independent in the whole range, the size parameter of the structure needs to be changed in continuous amplitude and phase control, the control mode lacks theoretical support, and the control efficiency is low.
In one aspect, the invention provides a super-surface unit structure, comprising two cascade element structures with the same structure; the element structure comprises a dielectric substrate and two identical circular conductor patches symmetrically attached to two sides of the dielectric substrate; wherein the content of the first and second substances,
the dielectric substrate and the two circular conductor patches have the same geometric center; the circular conductor patch is provided with a C-shaped hole type resonance ring and is made of a corresponding perfect electric conductor under the electromagnetic wave frequency band;
and realizing amplitude and phase regulation of the electromagnetic wave by adjusting orientation angles of the two element structures.
Further, the orientation angle of the first element structure and the orientation angle of the second element structure in the two element structures and the amplitude of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relations:
A＝cos(θ 2 -θ 1 )，
wherein, theta 1 Represents the firstAngle of orientation of unitary structure, θ 2 Representing the orientation angle of the second element structure, A representing the amplitude of the circularly cross-polarized transmitted electromagnetic wave;
if the orientation angle of the first unitary structure is larger than 0, the orientation angle of the first unitary structure is an included angle formed by anticlockwise rotation of a symmetry axis of the C-shaped hole type resonant ring in the first unitary structure along the horizontal direction and the horizontal direction; if the orientation angle of the first unitary structure is smaller than 0, the orientation angle of the first unitary structure is an included angle formed by clockwise rotation of a symmetry axis of the C-shaped hole type resonant ring in the first unitary structure along the horizontal direction and the horizontal direction;
if the orientation angle of the second element structure is larger than 0, the orientation angle of the second element structure is an included angle formed by anticlockwise rotation of a symmetry axis of the C-shaped hole type resonance ring in the second element structure along the horizontal direction and the horizontal direction; if the orientation angle of the second element structure is smaller than 0, the orientation angle of the second element structure is an included angle formed by clockwise rotation of the symmetry axis of the C-shaped hole type resonance ring in the second element structure along the horizontal direction and the horizontal direction.
Further, the orientation angle of the first element structure, the orientation angle of the second element structure and the phase of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relationship:
Figure BDA0003062279910000031
when the incident wave is a right-hand circularly polarized electromagnetic wave and the transmitted wave is a left-hand circularly polarized electromagnetic wave, sigma =1; when the incident wave is a left-handed circularly polarized electromagnetic wave and the transmitted wave is a right-handed circularly polarized electromagnetic wave, sigma = -1,
Figure BDA0003062279910000032
indicating the phase of the circularly cross-polarized transmitted electromagnetic wave.
Further, an air layer is arranged between the two cascaded same element structures.
On the other hand, the invention provides an electromagnetic wave amplitude and phase regulation device, which comprises a plurality of super-surface unit structures; a plurality of the super-surface unit structures are arranged in a two-dimensional array;
the size of the orientation angle of the two element structures of each super surface unit structure corresponds to the amplitude and the phase of the position of the super surface unit structure to be regulated.
Further, the electromagnetic wave amplitude and phase adjusting device is a bifocal focusing lens, and the amplitude and phase distribution required to be adjusted and controlled by the bifocal focusing lens meet the following formula:
Figure BDA0003062279910000041
wherein A (x, y) represents the amplitude required to be regulated and controlled by the super-surface unit structure with the position coordinate of (x, y),
Figure BDA0003062279910000042
the phase position (x, y) of the super surface unit structure with the position coordinate (x, y) required to be regulated is shown 1 ,y 1 )、(x 2 ,y 2 ) Position coordinates respectively representing two focal points of the bifocal focusing lens, a 1 、a 2 Respectively representing the electric field amplitude, f, of the two focal points 1 、f 2 Respectively, the focal lengths corresponding to the two focal points, and lambda represents the wavelength of incident light.
Furthermore, the thickness of the air layer between the first element structure and the second element structure is in a range of [4.75mm,5.25mm ].
Furthermore, the thickness of the circular conductor patch ranges from [0.0171mm,0.0189mm ], the radius ranges from [3.325mm,3.675mm ], the inner radius ranges from [2.85mm,3.15mm ], the outer radius ranges from [3.04mm,3.36mm ], and the partition width corresponding to the C-type hole-type resonance ring ranges from [0.19mm,0.21mm ].
Furthermore, the dielectric substrate is of a square structure, the side length of the dielectric substrate ranges from [8.55mm to [ 9.45mm ], and the thickness of the dielectric substrate ranges from [1.425mm to [ 1.575mm ].
Furthermore, the electromagnetic wave amplitude and phase control device is a beam generating device, a holographic imaging device or a beam focusing device.
Compared with the prior art, the invention can realize at least one of the following beneficial effects:
1. according to the transmission-type super-surface unit structure for electromagnetic wave amplitude and phase regulation, the independent and continuous regulation and control of the electromagnetic wave amplitude and phase can be realized by setting the orientation angles of the two element structures in the super-surface unit structure, the size of the unit structure does not need to be changed, the regulation and control mode is flexible, and the regulation and control efficiency is high; the super-surface unit structure has the regulation range of the electromagnetic wave amplitude of 0,1 and the regulation range of the electromagnetic wave phase of 0 degree and 360 degrees.
2. The transmission-type super-surface unit structure for electromagnetic wave amplitude and phase regulation is used for regulating and controlling the amplitude and the phase of electromagnetic waves based on a wave plate theory and a PB phase theory, has perfect theoretical support, and does not need to regulate and control the amplitude and the phase of the electromagnetic waves irregularly by changing structural parameters, so that various electromagnetic wave amplitude and phase regulation and control devices such as a bifocal focusing lens, a multibeam generator, a Bessel beam generator, a holographic imaging device and the like can be designed quickly and accurately based on the super-surface unit structure, the complexity of device design is greatly reduced, the applicability is strong, the application scene is wide, and the super-surface unit structure can work in a microwave band, an infrared band, a terahertz band, a light frequency band and the like by changing the electrical size of the super-surface unit structure to match the materials of corresponding circular conductor patches and media.
3. The structure size of each super-surface unit structure in the two-dimensional array of the electromagnetic wave amplitude and phase control device provided by the invention is the same, and the orientation angles of only two element structures are different, so that the manufacturing process of the two-dimensional array is simplified, and the manufacturing cost is reduced to a great extent.
In the invention, the technical schemes can be combined with each other to realize more preferable combination schemes. Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by the practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and drawings.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the invention, wherein like reference numerals are used to designate like parts throughout.
FIG. 1 is a schematic diagram of a transmission-type super-surface unit structure for electromagnetic wave amplitude and phase modulation according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a meta structure of a super-surface unit structure according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of the rotation of two quarter wave plates in cascade according to an embodiment of the invention;
FIG. 4 is a schematic diagram of a geometric phase change represented by a Poincare sphere according to an embodiment of the present invention;
FIG. 5 is a schematic diagram showing the variation of the amplitude of the transmission coefficient of the electromagnetic wave obtained by the normal incidence of the linearly polarized electromagnetic wave and the phase difference of the co-polarized transmitted electromagnetic wave with the frequency of the incident wave when the slow axis of the element structure coincides with the positive direction of the X axis in the embodiment of the present invention;
fig. 6 is a schematic diagram of the amplitude of the transmission coefficient of the left-hand circularly polarized transmission electromagnetic wave and the amplitude of the transmission coefficient of the right-hand circularly polarized transmission electromagnetic wave obtained when the linear polarized electromagnetic wave is normally incident when the slow axis of the element structure of the embodiment of the present invention is ± 45 ° from the positive direction of the X axis;
FIG. 7 shows a first orientation angle θ in the super-surface unit structure according to an embodiment of the present invention 1 Is 0 DEG, and the second orientation angle theta 2 When the angles are respectively set to 0 degree, 30 degrees, 60 degrees and 90 degrees, the schematic diagram of the amplitude of the circularly cross polarized transmission electromagnetic wave changing along with the frequency of the incident wave is correspondingly obtained;
FIG. 8 shows an orientation angle θ of the first component structure according to an embodiment of the invention 1 The angle is 0 degrees, and when incident waves with different frequencies are incident, the amplitude of the obtained circularly cross-polarized transmitted electromagnetic wave changes along with the relative rotation angle alpha of the first element structure and the second element structure;
FIG. 9 shows an orientation angle θ of the first element structure according to an embodiment of the present invention 1 At 0 deg. and when incident wave with different frequency is incident, the obtained circular cross-polarized transmission electromagnetic wave phase is along with the first oneA schematic representation of the relative rotation angle alpha variation of the meta structure and the second meta structure;
FIG. 10 is a graph of amplitude of circularly cross-polarized transmitted electromagnetic waves with a first orientation angle θ in accordance with an embodiment of the present invention 1 And schematic diagrams of the change rule of the first element structure and the second element structure relative to the rotation angle alpha;
FIG. 11 is a graph showing the phase dependence of circularly cross-polarized transmitted electromagnetic waves on a first orientation angle θ in accordance with an embodiment of the present invention 1 And a schematic diagram of the change rule of the relative rotation angle alpha of the first element structure and the second element structure;
FIG. 12 is a schematic diagram of an electromagnetic wave amplitude distribution corresponding to a transverse bifocal focusing lens in accordance with an embodiment of the present invention;
FIG. 13 is a schematic diagram illustrating the electromagnetic wave phase distribution of the transverse bifocal focusing lens in accordance with an embodiment of the present invention;
FIG. 14 is a schematic diagram of an electromagnetic wave amplitude distribution corresponding to an axial bifocal focusing lens in accordance with an embodiment of the present invention;
FIG. 15 is a schematic diagram illustrating the electromagnetic wave phase distribution corresponding to an axial bifocal focusing lens in accordance with an embodiment of the present invention;
FIG. 16 is a schematic diagram of a testing apparatus for testing a dual focusing lens according to an embodiment of the present invention;
FIG. 17 is a diagram illustrating an electric field intensity distribution diagram of a transverse bifocal focusing lens in an xz plane obtained by simulation according to an embodiment of the present invention;
FIG. 18 is a diagram illustrating an electric field intensity distribution of a transverse bifocal focusing lens in the xz plane according to an exemplary embodiment of the present invention;
FIG. 19 is a schematic diagram of an electric field intensity distribution diagram of a transverse bifocal focusing lens at two foci on an xy plane, obtained by simulation according to an embodiment of the present invention;
FIG. 20 is a schematic diagram of an electric field intensity distribution diagram of a transverse bifocal focusing lens at two foci of an xy plane, obtained through experiments in accordance with an embodiment of the present invention;
FIG. 21 is a diagram illustrating the variation of the electric field strength along the x-axis of a transverse bifocal focusing lens obtained by simulation and experiment according to an embodiment of the present invention;
FIG. 22 is a diagram illustrating an axial electric field intensity distribution of a transverse bifocal focusing lens obtained by simulation in accordance with an embodiment of the present invention;
FIG. 23 is a diagram illustrating an axial electric field intensity distribution of a transverse bifocal focusing lens experimentally obtained according to an embodiment of the present invention;
FIG. 24 is a schematic diagram of the electric field strength of a transverse bifocal focusing lens, obtained by simulation and experiment in accordance with an embodiment of the present invention, as a function of the z-axis;
FIG. 25 is a diagram illustrating an electric field intensity distribution of an axial bifocal focusing lens at a focal point with a focal length of 50mm in the xy plane, according to a simulation of an embodiment of the present invention;
FIG. 26 is a schematic diagram of an electric field intensity distribution diagram of an axial bifocal focusing lens at a focal point with a focal length of 50mm in the xy plane, obtained experimentally according to an embodiment of the present invention;
FIG. 27 is a diagram showing the variation of the electric field strength along the x-axis at the focal point of an axial bifocal focusing lens having a focal length of 50mm, obtained by simulation and testing in accordance with an embodiment of the present invention;
FIG. 28 is a schematic diagram of an electric field intensity distribution diagram of an axial bifocal focusing lens obtained by simulation according to an embodiment of the present invention at a focal point with a focal length of xy-plane of 150 mm;
FIG. 29 is a diagram illustrating an electric field intensity distribution of an axial bifocal focusing lens at a focal point with a focal length of 150mm in an xy plane, according to an embodiment of the present invention;
FIG. 30 is a diagram showing the variation of the electric field strength along the x-axis at the focal point of 150mm focal length of an axial bifocal focusing lens obtained by simulation and experiment according to an embodiment of the present invention.
Reference numerals:
1-a horn antenna; 2-a bifocal focusing lens; 3-a probe; 4-a vector network analyzer; 5-microwave darkroom.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the invention and together with the description, serve to explain the principles of the invention and not to limit the scope of the invention.
Example 1
In one embodiment of the invention, a super-surface unit structure is disclosed. As shown in FIG. 1, the super surface unit structure comprises two element structures which are same in structure and are cascaded. As shown in fig. 2, each element structure includes a dielectric substrate and two identical circular conductor patches symmetrically attached to two sides of the dielectric substrate.
Specifically, the dielectric substrate and the two circular conductor patches have the same geometric center (that is, the dielectric substrate and the two circular conductor patches are coaxially arranged along the structure); in addition, the circular conductor patch is provided with C-shaped hole type resonant rings, and in the element structure, the two C-shaped hole type resonant rings are symmetrical relative to the dielectric substrate. Preferably, the material of the circular conductor patch is a perfect electric conductor corresponding to the electromagnetic wave frequency band.
Based on the super-surface unit structure, the amplitude and phase of the electromagnetic wave are regulated and controlled by adjusting the orientation angles of the two element structures.
In order to prove the feasibility of the transmission-type super-surface unit structure for electromagnetic wave amplitude and phase regulation, the working principle of the transmission-type super-surface unit structure is explained as follows:
the super-surface unit structure provided by the invention can be equivalent to two cascaded equivalent Quarter Wave Plates (QWP). The polarization state evolution path of a circular polarization conversion component on a Poincare (Poincare) spherical surface can be changed by adjusting the orientation angles of the two QWPs, so that the independent continuous regulation and control of the amplitude and the phase in the full range can be realized, and the theoretical derivation process is as follows:
considering the relative rotation between the two quarter-wave plates, when the electromagnetic wave propagates along the z-axis direction, for a quarter-wave plate with a slow axis (the direction of the light vector with slow propagation speed in the wave plate is the slow axis) located in the x-direction, the jones matrix under the circular polarization basis is as follows:
Figure BDA0003062279910000091
when the quarter-wave plate is rotated by an angle theta, a new Jones matrix of the circularly polarized prime lost system can be obtained through the following rotation operations:
Figure BDA0003062279910000092
Figure BDA0003062279910000093
wherein R is a rotation matrix.
As shown in FIG. 3, the orientation angle of the two quarter-wave plates is defined as the included angle between the slow axis and the x axis, which is respectively denoted as θ 1 、θ 2 In the figure S 1 、S 2 Respectively showing the slow axes of the two quarter-wave plates, wherein the Jones matrix corresponding to the unit structure formed by the two cascaded quarter-wave plates is as follows:
Figure BDA0003062279910000094
α＝(θ 2 -θ 1 )，
where α represents the difference between the orientation angles of the two quarter-wave plates, i.e., the relative rotation angles of the two quarter-wave plates. The sub-diagonal terms of the overall Jones matrix represent the transmission coefficients of circularly cross-polarized electromagnetic waves, and the corresponding complex amplitudes can be expressed as cos α. Exp [ i σ (α +2 θ) ] 1 )]It can be seen that the transmission coefficient of the circularly cross-polarized electromagnetic wave corresponds to the amplitude A and the phase
Figure BDA0003062279910000101
The following relations are respectively formed between the orientation angles of the two quarter-wave plates:
A＝cos(θ 2 -θ 1 )，
Figure BDA0003062279910000102
according to the two relational expressions, the full-range independent continuous regulation and control of the amplitude of the complex amplitude of the electromagnetic wave from 0 to 1 and the phase from 0 to 360 degrees can be realized.
The above characteristics of the unit structure composed of two quarter-wave platesIs caused by the polarization path change caused by the rotation of the two quarter-wave plates. Illustratively, a right-handed circularly polarized incident wave is converted to an orientation of θ by passing through a first quarter wave plate 1 A linearly polarized wave of +45 deg. due to the orientation of the second quarter-wave plate being theta 2 Angle, so only the polarization direction is θ 2 The +45 ° linearly polarized wave component is converted into a circularly polarized state orthogonal to the incident wave. Therefore, based on the Malus law, it can be derived that the amplitude of the circularly polarized transmitted electromagnetic wave is cosine-related to the relative rotation angle α of the two quarter wave plates. The phase control mechanism comes completely from the geometric phase principle and can be expressed by Poincare elephant ground, the electromagnetic wave circular polarization conversion path is shown in figure 4, and the phase change is half of a solid angle of a region enclosed by the two paths.
The analysis shows that the two quarter wave plates can realize independent and continuous regulation and control of the amplitude and the phase of the incident electromagnetic wave by cascading.
For the proposed cell structure, illustratively, a circular conductor patch is provided with a thickness of 0.018mm and a radius r 1 Is the outer radius r of a 3.5mm C-shaped hole type resonance ring 2 Is 3.2mm and has an inner radius r 3 Is 3mm, and the partition width g corresponding to the C-shaped hole type resonant ring is 0.2mm; in addition, the material of the dielectric substrate is F4B, the dielectric constant epsilon of the dielectric substrate is 2.65, the loss tangent angle is 0.0017, and the thickness d of the dielectric substrate is 1.5mm; the lattice constant p of the cell structure, i.e. the side length of the dielectric substrate, is set to 9 mm.
Based on the element structure, simulation is carried out, as shown in FIG. 2, incident electromagnetic waves are incident along the z-axis, and when the element structure is placed along the positive direction of the x-axis, as shown in FIG. 5, the transmission coefficient T of the homopolarity transmission electromagnetic waves obtained when the linearly polarized electromagnetic waves are normally incident y,y 、T x,x Are all higher than 0.9, phase difference
Figure BDA0003062279910000111
Is 90 deg., which indicates that the cell structure is a quarter-wave plate whose axis of symmetry direction (the axis of symmetry direction in fig. 3 is the X direction) is the slow axis. When the symmetry axis (slow axis) and X axis of the element structure are set to be squareWhen the direction is 45 degrees, the right-hand circularly polarized transmission electromagnetic wave is correspondingly obtained when the linearly polarized electromagnetic wave is in normal incidence, and when the direction is-45 degrees, the left-hand circularly polarized transmission electromagnetic wave is correspondingly obtained when the linearly polarized electromagnetic wave is in normal incidence, as shown in figure 6, the transmission coefficient T of the right-hand circularly polarized transmission electromagnetic wave is obtained within the application frequency band of 11.9-12.6GHz RCP,+45°-LP Amplitude of (4) and transmission coefficient T of left-handed circularly polarized transmission electromagnetic wave LCP,-45°-LP Are higher than 0.9, and therefore, the cell structure has the properties of a quarter-wave plate.
In order to realize amplitude and phase regulation of circular cross polarization electromagnetic waves, the unit structure with the property of a half-wave plate is formed by cascading element structures with the property of a quarter-wave plate, namely the super-surface unit structure provided by the invention, the super-surface unit structure can realize continuous and independent regulation and control on the amplitude and the phase of the electromagnetic waves, and specifically comprises the following steps:
the orientation angle of the first element structure and the orientation angle of the second element structure in the two element structures and the amplitude of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relations:
A＝cos(θ 2 -θ 1 )，
wherein, theta 1 Denotes the orientation angle, θ, of the first element structure 2 Indicating the orientation angle of the second element structure and a the amplitude of the circularly cross-polarized transmitted electromagnetic wave.
Specifically, if the orientation angle of the first unitary structure is greater than 0, the orientation angle of the first unitary structure is an included angle formed by counterclockwise rotation of a symmetry axis of the C-shaped hole-type resonant ring in the first unitary structure along the horizontal direction and the horizontal direction; if the orientation angle of the first element structure is smaller than 0, the orientation angle of the first element structure is an included angle formed by clockwise rotation of the symmetry axis of the C-shaped hole type resonant ring in the first element structure along the horizontal direction and the horizontal direction.
If the orientation angle of the second element structure is larger than 0, the orientation angle of the second element structure is an included angle formed by anticlockwise rotation of a symmetry axis of the C-shaped hole type resonance ring in the second element structure along the horizontal direction and the horizontal direction; if the orientation angle of the second element structure is smaller than 0, the orientation angle of the second element structure is an included angle formed by clockwise rotation of the symmetry axis of the C-shaped hole type resonant ring in the second element structure along the horizontal direction and the horizontal direction.
Specifically, the orientation of the C-shaped hole type resonant ring in each element structure corresponds to the orientation angle of the element structure, and the orientation of the C-shaped hole type resonant ring, that is, the direction in which the center of the C-shaped hole type resonant ring and the ray where the center of the C-shaped hole type resonant ring is separated from the C-shaped hole type resonant ring point, is also the direction in which the symmetry axis is located. Specifically, in the element structure, two C-shaped hole-type resonant rings are symmetrical relative to the dielectric substrate, the symmetry axes of the two C-shaped hole-type resonant rings are in the same plane and are kept parallel, and the direction of the symmetry axis is the direction of the slow axis of the element structure, i.e., the orientation angle of the element structure.
It can be understood by those skilled in the art that "rotation" is only used to describe the relationship between the positive and negative orientation angles and the orientation, and does not mean that the C-shaped hole-type resonant ring can rotate on the circular conductor patch, and in practical applications, after the orientation angle of the meta-structure is determined, the included angle between the orientation of the C-shaped hole-type resonant ring and the horizontal direction is set as the orientation angle.
Preferably, the orientation angle of the first element structure, the orientation angle of the second element structure and the phase of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relationship:
Figure BDA0003062279910000121
when the incident wave is a right-hand circularly polarized electromagnetic wave and the transmitted wave is a left-hand circularly polarized electromagnetic wave, sigma =1; when the incident wave is a left-handed circularly polarized electromagnetic wave and the transmitted wave is a right-handed circularly polarized electromagnetic wave, sigma = -1,
Figure BDA0003062279910000122
indicating the phase of the circularly cross-polarized transmitted electromagnetic wave.
Preferably, the thickness of the air layer between the first element structure and the second element structure is in a range of [4.75mm,5.25mm ]; the thickness of the circular conductor patch is in a value range of [0.0171mm,0.0189mm ], the radius of the circular conductor patch is in a value range of [3.325mm,3.675mm ], the inner radius of the C-type hole-type resonance ring is in a value range of [2.85mm,3.15mm ], the outer radius of the C-type hole-type resonance ring is in a value range of [3.04mm,3.36mm ], and the partition width of the C-type hole-type resonance ring is in a value range of [0.19mm,0.21mm ]; the dielectric substrate is of a square structure, the side length of the dielectric substrate ranges from [8.55mm,9.45mm ], and the thickness of the dielectric substrate ranges from [1.425mm,1.575mm ]; in addition, the dielectric substrate is made of F4B, the relative dielectric constant is 2.65, and the value range of the loss tangent value is (0,0.01).
The performance of the super-surface unit structure provided by the invention on the amplitude and phase regulation of electromagnetic waves is better illustrated by the following examples:
and cascading the two element structures, setting the thickness of an air layer between the two element structures to be 5mm, and adopting the set parameters for related structure parameters of the element structures to obtain the super-surface unit structure, and carrying out simulation based on the super-surface unit structure.
As shown in fig. 1, the slow axes of the first and second element structures rotate counterclockwise along the positive direction of the X-axis to obtain corresponding first orientation angles θ 1 And a second orientation angle theta 2 Then α = (θ) 2 -θ 1 ) Is the difference between the orientation angles of the first and second component structures.
Specifically, the first orientation angle θ is set 1 Is 0 deg., and the second orientation angle theta 2 When the amplitudes of the circularly cross-polarized transmitted electromagnetic waves are respectively set to 0 DEG, 30 DEG, 60 DEG and 90 DEG, the curves of the amplitude of the correspondingly obtained circularly cross-polarized transmitted electromagnetic waves along with the frequency of the incident wave are shown in FIG. 7, and it can be seen from the graph that the amplitudes of the circularly cross-polarized transmitted electromagnetic waves along with the frequency of the incident wave are [12GHz,13GHz, etc. ], respectively]The amplitude of the transmission coefficient corresponding to the obtained circularly cross-polarized transmitted wave is the largest in the frequency range of (1), when the difference between the orientation angles of the first unitary structure and the second unitary structure is 0, because there is no relative rotation between the first unitary structure and the second unitary structure, i.e. the slow axis is aligned, and the whole corresponds to a quarter-wave plate. FIG. 8 shows a first orientation angle θ 1 At 0 deg., the amplitude of the obtained circularly cross-polarized transmitted electromagnetic wave varies with the relative rotation angle alpha of the first element structure and the second element structure when the incident waves with different frequencies are incident, and can be seen in the figure, at 12.1GHz and 12.5GHz]At 0.1GHz intervals in the frequency rangeWhen the radio wave is incident, the change rule of the amplitude of the correspondingly obtained circularly cross-polarized transmitted electromagnetic wave is consistent with the theoretical change curve (cos alpha) of the amplitude. FIG. 9 shows a first orientation angle θ 1 At 0 deg., the phase of the obtained circularly cross-polarized transmitted electromagnetic wave varies with the relative rotation angle alpha of the first element structure and the second element structure when incident waves with different frequencies are incident, and can be seen from the figure, at 12.1GHz and 12.5GHz]When incident waves with 0.1GHz interval in a frequency range are incident, the change rule of the phase of the circularly cross-polarized transmission electromagnetic wave and the theoretical change curve of the phase (sigma (theta)) are correspondingly obtained 1 +θ 2 ) ) are consistent. In order to better illustrate the amplitude and phase control effect of the super-surface unit structure provided by the invention on electromagnetic waves, the amplitude and phase of circularly cross-polarized transmitted electromagnetic waves are respectively shown in fig. 10 and 11 along with a first orientation angle theta 1 And the change rule of the relative rotation angle alpha of the first element structure and the second element structure.
Example 2
The invention discloses an electromagnetic wave amplitude and phase regulation device, which comprises a plurality of super-surface unit structures in the embodiment 1; and the plurality of super-surface unit structures are arranged in a two-dimensional array. Specifically, the size of the orientation angle of the two element structures of each super surface unit structure corresponds to the amplitude and phase of the position of the super surface unit structure to be regulated, that is, the size of the orientation angle of the two element structures in each super surface unit structure is set according to the regulation requirements on the amplitude and phase of the electromagnetic wave.
Preferably, the electromagnetic wave amplitude and phase control device may be a beam generating device, a holographic imaging device or a beam focusing device, and exemplarily, the electromagnetic wave amplitude and phase control device may be a bifocal focusing lens, a multibeam generator, a bessel beam generator, a holographic imaging device, or the like.
Illustratively, when the electromagnetic wave amplitude and phase adjusting device is a bifocal focusing lens, the amplitude and phase distribution required to be adjusted by the bifocal focusing lens satisfy the following formula:
Figure BDA0003062279910000141
wherein A (x, y) represents the amplitude required to be regulated and controlled by the super-surface unit structure with the position coordinate of (x, y),
Figure BDA0003062279910000142
the phase position (x, y) of the super surface unit structure needing to be regulated is shown 1 ,y 1 )、(x 2 ,y 2 ) Position coordinates respectively representing two focal points of a bifocal focusing lens, a 1 、a 2 Respectively representing the electric field amplitude, f, of the two focal points 1 、f 2 Respectively, the focal lengths corresponding to the two focal points, and λ represents the wavelength of incident light.
Preferably, the thickness of the air layer between the first element structure and the second element structure is in a range of [4.75mm,5.25mm ]; the thickness of the circular conductor patch is in a value range of [0.0171mm,0.0189mm ], the radius is in a value range of [3.325mm,3.675mm ], the inner radius of the C-type hole-type resonance ring is in a value range of [2.85mm,3.15mm ], the outer radius is in a value range of [3.04mm,3.36mm ], and the partition width corresponding to the C-type hole-type resonance ring is in a value range of [0.19mm,0.21mm ]; the dielectric substrate is of a square structure, the value range of the side length is [8.55mm,9.45mm ], and the value range of the thickness is [1.425mm,1.575mm ]; in addition, the dielectric substrate is made of F4B, the relative dielectric constant is 2.65, and the value range of the loss tangent value is (0,0.01).
Specifically, a corresponding two-dimensional array is designed according to the amplitude and phase distribution rule of the bifocal focusing lens to be regulated and the regulation requirement of the bifocal focusing lens. When the bifocal focusing lens to be designed is a transverse bifocal focusing lens, for example, the electric field amplitudes of the two focuses are set to be 0.5 and 0.5 respectively, the corresponding focal lengths are 300mm and 300mm respectively, and the corresponding focal coordinates are (x) respectively 1 ,y 1 )＝(-75mm,0mm)、(x 2 ,y 2 ) = (75mm, 0 mm), incident light wavelength 12.3GHz; when the bifocal focusing lens of the desired design is an axial bifocal focusing lens, the electric field amplitudes of the two focal points are set to 1 and 0.7, respectively, for example07 corresponding to focal lengths of 50mm and 150mm, respectively, and corresponding to focal coordinates of (x) 1 ,y 1 )＝(0mm,0mm)、(x 2 ,y 2 ) = (0 mm ), and the wavelength of incident light is 12.3GHz. And determining the orientation angle of each unit structure in each super-surface unit structure according to the parameters and the amplitude and phase distribution rule required to be regulated and controlled by the bifocal focusing lens, designing to obtain a corresponding two-dimensional array, and simulating, wherein the amplitude distribution and the phase distribution of the electromagnetic waves corresponding to the transverse bifocal focusing lens are respectively shown in fig. 12 and 13, and the amplitude distribution and the phase distribution of the electromagnetic waves corresponding to the axial bifocal focusing lens are respectively shown in fig. 14 and 15.
The transverse bifocal focusing lens and the axial bifocal focusing lens are now tested by the apparatus shown in fig. 16 to determine if their focusing effects are consistent with those of the previously described simulations.
Specifically, the horn antenna 1 is used for generating incident waves, the incident waves are normally incident on the bifocal focusing lens 2, the probe 3 is used for collecting transmitted electromagnetic waves and transmitting the transmitted electromagnetic waves to the vector network analyzer 4 for analysis, and the horn antenna 1, the bifocal focusing lens 2 and the probe 3 are all placed in the microwave darkroom 5.
The simulation results and experimental results are as follows:
FIGS. 17 and 18 are graphs respectively showing electric field intensity distribution of a transverse bifocal focusing lens in an xz plane, which is obtained through simulation and experiment when the incident wave frequency is 12.3GHz; fig. 19 and 20 respectively show electric field intensity distribution diagrams of the transverse bifocal focusing lens obtained by simulation and experiment at two focal points of an xy plane when the incident wave frequency is 12.3GHz, fig. 21 shows schematic diagrams of the electric field intensity of the transverse bifocal focusing lens obtained by simulation and experiment along with the change of an x axis, fig. 22 and 23 respectively show axial electric field intensity distribution diagrams of the transverse bifocal focusing lens obtained by simulation and experiment, and fig. 24 shows schematic diagrams of the electric field intensity of the transverse bifocal focusing lens obtained by simulation and experiment along with the change of a z axis; as can be seen from fig. 17 to 24, the electric field intensity distributions of the lateral bifocal focusing lens obtained by the simulation and the experiment were all uniform.
FIGS. 25 and 26 are graphs respectively showing electric field intensity distribution of an axial bifocal focusing lens obtained by simulation and experiment at a focal point with a focal length of 50mm in an xy plane when the incident wave frequency is 12.3GHz; FIG. 27 is a graph showing the variation of the electric field strength along the x-axis at the focal point of a 50mm focal length axial bifocal focusing lens obtained by simulation and testing; FIGS. 28 and 29 are graphs showing electric field intensity distribution of axial bifocal focusing lens obtained by simulation and experiment at a focal point with a focal length of 150mm in an xy plane, respectively; FIG. 30 is a graph showing the electric field strength along the x-axis for a focal point having a focal length of 150mm for an axial bifocal focusing lens obtained by simulation and testing; as can be seen from fig. 25 to 30, the electric field intensity distributions of the axial bifocal focusing lens obtained by the simulation and the experiment are uniform.
The experiment and simulation results prove that the electromagnetic wave amplitude and phase regulating device provided by the invention has a good amplitude and phase regulating function and can be perfectly supported by theory.
Compared with the prior art, the transmission-type super-surface unit structure for electromagnetic wave amplitude and phase regulation and control disclosed by the embodiment of the invention has the advantages that firstly, independent and continuous regulation and control of electromagnetic wave amplitude and phase can be realized by setting orientation angles of two element structures in the super-surface unit structure, the size of the unit structure does not need to be changed, the regulation and control mode is flexible, and the regulation and control efficiency is high; the super-surface unit structure has the regulation range of electromagnetic wave amplitude of [0,1] and the regulation range of electromagnetic wave phase of [0 degree and 360 degrees ]. Secondly, the transmission-type super-surface unit structure for electromagnetic wave amplitude and phase regulation disclosed by the embodiment of the invention regulates and controls the amplitude and the phase of electromagnetic waves based on a wave plate theory and a PB phase theory, has perfect theoretical support, and does not need to regulate and control the amplitude and the phase of the electromagnetic waves irregularly by changing structural parameters, so that various electromagnetic wave amplitude and phase regulation and control devices such as a bifocal focusing lens, a multibeam generator, a Bessel beam generator, a holographic imaging device and the like can be designed quickly and accurately based on the super-surface unit structure, the complexity of device design is greatly reduced, the applicability is strong, application scenes are wide, and the super-surface unit structure can work in a microwave band, an infrared band, a terahertz band, an optical frequency band and the like by changing the electrical size of the super-surface unit structure to match the materials of a corresponding circular conductor patch and a medium. In addition, the structural size of each super-surface unit structure in the two-dimensional array of the electromagnetic wave amplitude and phase control device disclosed by the embodiment of the invention is the same, and the orientation angles of only two element structures are different, so that the manufacturing process of the two-dimensional array is simplified, and the manufacturing cost is reduced to a great extent.
While the invention has been described with reference to specific preferred embodiments, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention as defined in the following claims.

Claims (10)

1. A super-surface unit structure is characterized by comprising two cascade element structures with the same structure; the element structure comprises a dielectric substrate and two identical circular conductor patches symmetrically attached to two sides of the dielectric substrate; wherein the content of the first and second substances,
the dielectric substrate and the two circular conductor patches have the same geometric center; the circular conductor patch is provided with a C-shaped hole type resonance ring and is made of a corresponding perfect electric conductor under the electromagnetic wave frequency band;
and realizing amplitude and phase regulation of the electromagnetic wave by adjusting orientation angles of the two element structures.
2. The super-surface unit structure according to claim 1, wherein the orientation angle of the first element structure and the orientation angle of the second element structure in the two element structures and the amplitude of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relations:
A＝cos(θ 2 -θ 1 )，
wherein, theta 1 Denotes the orientation angle, θ, of the first element structure 2 Representing the orientation angle of the second element structure, A representing the amplitude of the circularly cross-polarized transmitted electromagnetic wave;
if the orientation angle of the first unitary structure is larger than 0, the orientation angle of the first unitary structure is an included angle formed by the counterclockwise rotation of the symmetry axis of the C-shaped hole type resonant ring in the first unitary structure along the horizontal direction and the horizontal direction; if the orientation angle of the first unitary structure is smaller than 0, the orientation angle of the first unitary structure is an included angle formed by clockwise rotation of a symmetry axis of the C-shaped hole type resonant ring in the first unitary structure along the horizontal direction and the horizontal direction;
if the orientation angle of the second element structure is larger than 0, the orientation angle of the second element structure is an included angle formed by anticlockwise rotation of a symmetry axis of the C-shaped hole type resonance ring in the second element structure along the horizontal direction and the horizontal direction; if the orientation angle of the second element structure is smaller than 0, the orientation angle of the second element structure is an included angle formed by clockwise rotation of the symmetry axis of the C-shaped hole type resonance ring in the second element structure along the horizontal direction and the horizontal direction.
3. The super surface unit structure according to claim 2, wherein the orientation angle of the first element structure, the orientation angle of the second element structure and the phase of the obtained circularly cross-polarized transmitted electromagnetic wave satisfy the following relations:
Figure FDA0003062279900000021
when the incident wave is right-hand circularly polarized electromagnetic wave and the transmitted wave is left-hand circularly polarized electromagnetic wave, sigma =1; when the incident wave is a left-handed circularly polarized electromagnetic wave and the transmitted wave is a right-handed circularly polarized electromagnetic wave, sigma = -1,
Figure FDA0003062279900000022
indicating the phase of the circularly cross-polarized transmitted electromagnetic wave.
4. A super surface unit structure according to any one of claims 1-3, characterized in that an air layer is arranged between said two cascaded identical cell structures.
5. An electromagnetic wave amplitude and phase regulation device, which is characterized by comprising a plurality of super surface unit structures as claimed in any one of claims 1 to 4; a plurality of the super-surface unit structures are arranged in a two-dimensional array;
the size of the orientation angle of the two element structures of each super surface unit structure corresponds to the amplitude and the phase of the position of the super surface unit structure to be regulated.
6. The electromagnetic wave amplitude and phase control device of claim 5, wherein the electromagnetic wave amplitude and phase control device is a bifocal focusing lens, and the distribution of amplitude and phase to be controlled by the bifocal focusing lens satisfies the following formula:
Figure FDA0003062279900000023
wherein A (x, y) represents the amplitude required to be regulated and controlled by the super-surface unit structure with the position coordinate of (x, y),
Figure FDA0003062279900000024
the phase position (x, y) of the super surface unit structure with the position coordinate (x, y) required to be regulated is shown 1 ,y 1 )、(x 2 ,y 2 ) Position coordinates respectively representing two focal points of the bifocal focusing lens, a 1 、a 2 Respectively representing the electric field amplitude, f, of the two focal points 1 、f 2 Respectively, the focal lengths corresponding to the two focal points, and lambda represents the wavelength of incident light.
7. The electromagnetic wave amplitude and phase control device according to claim 5, wherein the thickness of the air layer between the first and second element structures is in a range of [4.75mm,5.25mm ].
8. The electromagnetic wave amplitude and phase control device according to claim 5, wherein the thickness of the circular conductor patch is [0.0171mm,0.0189mm ], the radius is [3.325mm,3.675mm ], the inner radius of the C-shaped hole type resonance ring is [2.85mm,3.15mm ], the outer radius is [3.04mm,3.36mm ], and the partition width corresponding to the C-shaped hole type resonance ring is [0.19mm,0.21mm ].
9. The electromagnetic wave amplitude and phase control device according to claim 8, wherein the dielectric substrate has a square structure, the side length of the dielectric substrate ranges from [8.55mm to [ 9.45mm ], and the thickness of the dielectric substrate ranges from [1.425mm to [ 1.575mm ].
10. The electromagnetic wave amplitude and phase modulation device of claim 5, wherein the electromagnetic wave amplitude and phase modulation device is a beam generation device, a holographic imaging device, or a beam focusing device.
CN202110516208.9A 2021-05-12 2021-05-12 Super surface unit structure and electromagnetic wave amplitude and phase regulating device Pending CN115347374A (en)

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