CN107634340A - The super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase - Google Patents
The super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase Download PDFInfo
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Abstract
The present invention proposes the super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, while being meant to ensure that electromagnetism regulating effect, realizing that shape is flexible can the characteristic adjusted of electricity for any cylinder and phase controlling, including flexible base board, earth plate on the graphene paster and another side of the periodic arrangement being printed on one side of flexible base board, formed by the arbitrary two-dimensional curve of shape as directrix, the cylindrical structure sprawled along the direction translation vertical with plane where the two-dimensional curve, by the fermi level for controlling graphene paster, realize the phase adjustment to incident electromagnetic wave.The present invention is flexible to be attached at any cylinder installation surface, so that the application on super surface is more flexible, the electricity on the super surface of graphene adjusts characteristic so that the phase regulation and control of electromagnetic wave are more convenient, available for the field such as beam scanning reflector antenna and any angle orientation echo scattering surface.
Description
Technical field
The invention belongs to electromagnetic wave phase control technique field, it is related to a kind of super surface of graphene, and in particular to Yi Zhong electricity
The super surface of random two-dimensional directrix cylinder graphene of magnetic wave phase regulation and control, available for beam scanning reflector antenna and any angle
Orient the fields such as echo scattering surface.
Technical background
Graphene has good conductance and pliability, its electromagnetic parameter can as a kind of two dimensional surface carbon structure
It is controlled by fermi level.The super surface of electromagnetism is a kind of Meta Materials of two dimensional form, has unique electromagnetic property, by super
Surface can be divided into amplitude regulation and control and phase regulation and control, amplitude regulation and control mainly utilize super surface to the main function effect of electromagnetic wave
The obvious passband or stopband shown with electromagnetic wave phase interaction realizes spa-tial filter properties, and phase regulation and control then utilize SPA sudden phase anomalies
Thought, the realization for exciting and transmitting to electromagnetic wave flexibly control, and existing super surface is mostly the metal micro-strip based on different pasters
Structure, graphene is applied to super surface, can realize super surface can electricity adjust characteristic, for example, application publication number is
A kind of CN10481575A, the patent application of entitled " THz devices based on graphene ", discloses a kind of tune of graphene
Humorous device, it is made up of substrate, insulating medium layer and opening resonance loop structure graphene layer, insulating medium layer is set in parallel in substrate
Upper surface, opening resonance loop structure graphene layer is set in parallel in the centre position of the upper surface of insulating medium layer, passes through control
The fermi level of graphene processed, change the Electromagnetic wave penetrating percentage of tunable devices.But the application only office on the existing super surface of graphene
It is limited to realize electromagnetic wave that amplitude regulates and controls, requires be planar structure in structure, for realizes that electromagnetic wave phase controlling can electricity tune
The super surface of curved-surface structure is not directed to.
The content of the invention
It is an object of the invention to for above-mentioned the shortcomings of the prior art, it is proposed that one kind is used for electromagnetic wave phase and adjusted
The super surface of random two-dimensional directrix cylinder graphene of control, it is intended to which while ensureing electromagnetism regulating effect, realizing that shape is flexible is
Any cylinder and phase controlling can the electric characteristics adjusted.
To achieve the above object, the technical scheme taken of the present invention is：
The super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, it is characterised in that including flexibility
Substrate 1, the periodic arrangement being printed on 1 one sides of flexible base board graphene paster 2 and another side on earth plate
3, formed by the arbitrary two-dimensional curve of shape as directrix, translate and spread along a direction vertical with plane where the two-dimensional curve
The cylindrical structure formed is opened up, the graphene paster 2 is real as needed for determining the location of its center using square structure
Existing phase shift phi, and by controlling fermi level, realize the phase adjustment to incident electromagnetic wave.
The above-mentioned super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, the directrix are any two
The cylindrical structure of dimension curve, its flexural property are characterized by the cylinder directrix c (t) in xoy two dimensional surfaces：C (t)=(x (t),
Y (t), 0), wherein x (t) is the x of directrix coordinate function, and y (t) is the x of directrix coordinate function, and t is parameter.
The above-mentioned super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, the earth plate 3 use
Good conductor.
The above-mentioned super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, the periodic arrangement
Graphene paster 2, the phase shift phi realized required for the paster in its each row is equal, and the determination mode of phase shift phi is：
Wherein, xnAnd ynThe respectively x coordinate and y-coordinate of the central point of the n-th row graphene paster 2,For incidence wave wave vector x
Component,For incidence wave wave vector y-component,For back wave wave vector x-component,For back wave wave vector y-component, incidence wave wave vector and
Back wave wave vector only exists x-component and y-component.
The present invention compared with prior art, has advantages below：
1st, the present invention has carried out school using flexible material as substrate to the phase shift realized needed for each graphene paster
Quasi- design so that super surface can be conformal with the bending of any cylinder mounting surface while electromagnetism regulating effect is ensured, obtains super surface
Application it is more flexible.
2nd, the present invention is in the case of the graphene paster of single size structure, by the Fermi's energy for controlling graphene paster
Level, realize to incoming electromagnetic wave phase regulation and control can electricity adjust characteristic so that the regulation and control to phase on super surface are more flexible.
3rd, the present invention can either be applied to beam scanning reflector antenna, be also applied for any angle orientation echo scattering table
The fields such as face, application scenarios are broader.
Brief description of the drawings
Fig. 1 is the overall structure diagram of the present invention；
Fig. 2 is the super surface phase-fermi level graph of a relation of graphene of the present invention；
45 degree of plane wave incidence fields field figure that Fig. 3 is applied when being simulation calculation mirror field of the present invention；
The cylindrical wave in-field field figure that Fig. 4 is applied when being simulation calculation mirror field of the present invention；
Fig. 5 is 0 degree of outgoing mirror field schematic diagram of the present invention；
Fig. 6 is 45 degree of outgoing mirror field schematic diagrames of the present invention；
Fig. 7 is -53 degree outgoing mirror field schematic diagram of the invention；
Fig. 8 is gain simulation result figure of the present invention under different angle.
Embodiment
Below in conjunction with the drawings and specific embodiments, the invention will be further described.
Reference picture 1, for the super surface of random two-dimensional directrix cylinder graphene of electromagnetic wave phase regulation and control, including flexible base board
1st, the ground connection on the graphene paster 2 and another side of the M × N number of periodic arrangement being printed on 1 one sides of flexible base board
Plate 3, formed by the arbitrary two-dimensional curve of shape as directrix, translated along a direction vertical with plane where the two-dimensional curve
The cylindrical structure sprawled, wherein M=20, N=100, the graphene paster 2, institute is determined by the location of its center
The phase shift phi that need to be realized, and by controlling fermi level, realize the phase adjustment to incident electromagnetic wave, using square structure,
Purpose is the effect that different polarization modes are produced with identical phase shift, electric can adjust characteristic using graphene, can realize logical
Effective Regulation of the fermi level to electromagnetic wave phase is crossed, therefore all graphene pasters can use identical size and interval, with
Simplify design, the flexible base board 1, flexible insulation medium should be used, thickness is less than λ/4, and its size can accommodate 20 × 100 just
The graphene paster 2 of individual periodic arrangement, the earth plate 3 should use the good metal of conductive sexual function, its length and width and flexibility
Substrate 1 is equal sized, and thickness should be greater than skin depth.
The length of side of graphene paster 2 is 10 μm, and the two neighboring spacing of graphene paster 2 is 14 μm, outermost graphene paster 2
Centre distance flexible base board edge is 7 μm, and flexible base board 1 uses flexible PDMS material, and thickness is 5 μm, is grown along row arragement direction
Spend for 280 μm, be 1400 μm along row arragement direction length, earth plate 3 uses good conductor silver, and thickness is 2 μm for material.
Directrix 11 is limits the curve c (t) in two dimensional surface, without loss of generality, can be limited positioned at xoy two dimensions
In plane, it is characterized as：C (t)=(x (t), y (t), 0), the Fourier expansion of reference function, is set to two sines by directrix here
The form of function superposition is to simulate arbitrary curve：X (t)=16 λ t, y (t)=cos [π x (t)/4 λ]+cos [π+π of 5 π x (t)/16/
2], -0.5≤t≤0.5.
Graphene paster 2, by 20 × 100 periodic arrangements, because cylindrical structure is extension of the directrix along bus, therefore tie
It is identical in the parameter along generatrix direction on structure, so the phase shift phi realized required for the paster in each row is equal, phase shift
Φ determination determination process is：
(1) incident electric fields E is setiWith reflected field ErFor：
(2) SPA sudden phase anomalies exp (j Φ) is introduced in super surface-boundary, application boundary condition obtains：
(3) Φ expression formula is obtained according to phase matched：
(4) to the center applications Φ of graphene paster 2 expression formula, obtaining phase shift phi, fixed pattern is really：
Wherein,For incidence wave amplitude,To reflect wave amplitude, xnAnd ynSat for the central point x of the n-th row graphene paster 2
Mark and y-coordinate, the x coordinate of all graphene pasters 2 of same row is identical with y-coordinate,For incidence wave wave vector x-component,To enter
Ejected wave wave vector y-component,For back wave wave vector x-component,For back wave wave vector y-component, incidence wave wave vector and back wave wave vector
Only exist x-component and y-component.For 45 degree of incidence waves,Wherein k0For free sky
Between middle wave vector, for cylindrical wave incidence wave,Its
Middle x, y are the coordinate of graphene paster 2, are emitted for 0 degree,It is emitted for 45 degree,It is emitted for -53 degree,
Below by way of emulation experiment, the technique effect of the present invention is described further.
1st, simulated conditions and content.
Emulation 1, the phase shift relation on the super surface of graphene, its phase shift and fermi level are calculated using CST full-wave simulations software
Relation it is as shown in Figure 2.
Emulation 2, using matlab softwares, define in-field and reflected completely by super surface, it is flat for as shown in Figure 3 45 degree
Face ripple and cylindrical wave as shown in Figure 4, which incide the super surface of graphene, realizes 0 degree of reflection, carries out Simulation on Vertical Via Interconnect, it reflects
Field normalization simulation result is as shown in Figure 5.
Emulation 3, using matlab softwares, define in-field and reflected completely by super surface, it is flat for as shown in Figure 3 45 degree
Face ripple and cylindrical wave as shown in Figure 4, which incide the super surface of graphene, realizes 45 degree of reflections, carries out Simulation on Vertical Via Interconnect, it reflects
Field normalization simulation result is as shown in Figure 6.
Emulation 4, using matlab softwares, define in-field and reflected completely by super surface, it is flat for as shown in Figure 3 45 degree
Face ripple and cylindrical wave as shown in Figure 4, which incide the super surface of graphene, realizes -53 degree reflections, carries out Simulation on Vertical Via Interconnect, its is anti-
It is as shown in Figure 7 to penetrate field normalization simulation result.
Emulation 5, moment method Electromagnetic Simulation is carried out using matlab softwares, calculates far-field radiation side during different reflection directions
Xiang Tu, its simulation result are as shown in Figure 8.
2nd, analysis of simulation result.
Reference picture 2, the super surface of the graphene can realize 337 degree of phase shift in the case where fermi level changes 2.0eV.
Reference picture 5, the super surface of the graphene, enter in 45 degree of plane waves as shown in Figure 3 and cylindrical wave as shown in Figure 4
Under conditions of penetrating, the plane wave that mirror field is 0 degree of outgoing can be realized, i.e. the super surface of the graphene regulates and controls effectively control by phase
The direction of propagation of back wave is made, because in-field is completely by super surface scattering, therefore the mirror field field strength in different incident sources is equal.
Reference picture 6, the super surface of the graphene, enter in 45 degree of plane waves as shown in Figure 3 and cylindrical wave as shown in Figure 4
Under conditions of penetrating, the plane wave that mirror field is 45 degree of outgoing can be realized, i.e. the super surface of the graphene is regulated and controled effective by phase
The direction of propagation of back wave is controlled, because in-field is completely by super surface scattering, therefore the mirror field field strength phase in different incident sources
Deng.
Reference picture 7, the super surface of the graphene, enter in 45 degree of plane waves as shown in Figure 3 and cylindrical wave as shown in Figure 4
Under conditions of penetrating, plane wave of the mirror field for -53 degree outgoing can be realized, i.e. the super surface of the graphene is regulated and controled effective by phase
The direction of propagation of back wave is controlled, because in-field is completely by super surface scattering, therefore the mirror field field strength phase in different incident sources
Deng.
Reference picture 8, the super surface applications of the graphene have very high gain, can realize ripple wave beam in reflector antenna
The function of scanning and at any angle Way of Echo Control.
Above description is only the preferred embodiment of the present invention, is not limited the invention, such as to reflector element
Specific implementation form, for the person of ordinary skill of the art, can be on the premise of innovation thinking of the present invention not be departed from
The several modifications and improvements made, but these changes belong to protection scope of the present invention.
Claims (4)
1. the super surface of random two-dimensional directrix cylinder graphene for the regulation and control of electromagnetic wave phase, it is characterised in that including flexible base
Plate (1), the periodic arrangement being printed on (1) side of flexible base board graphene paster (2) and another side on connect
Floor (3), formed by the arbitrary two-dimensional curve of shape as directrix, along a direction vertical with plane where the two-dimensional curve
The cylindrical structure sprawled is translated, the graphene paster (2) is true by the location of its center using square structure
The phase shift phi realized needed for fixed, and by controlling fermi level, realize the phase adjustment to incident electromagnetic wave.
2. the random two-dimensional directrix cylinder graphene super surface according to claim 1 for the regulation and control of electromagnetic wave phase, its
It is characterised by, the directrix is the cylindrical structure of random two-dimensional curve, and its flexural property is by the cylinder in xoy two dimensional surfaces
Directrix c (t) is characterized：C (t)=(x (t), y (t), 0), wherein x (t) are the x of directrix coordinate function, and y (t) is the y's of directrix
Coordinate function, t are parameter.
3. the random two-dimensional directrix cylinder graphene super surface according to claim 1 for the regulation and control of electromagnetic wave phase, its
It is characterised by：The earth plate (3) uses good conductor.
4. the random two-dimensional directrix cylinder graphene super surface according to claim 1 for the regulation and control of electromagnetic wave phase, its
It is characterised by, the graphene paster (2) of the periodic arrangement, the phase shift phi phase realized required for the paster in its each row
Deng the determination mode of phase shift phi is：
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Wherein, xnAnd ynThe respectively x coordinate and y-coordinate of n-th row graphene paster (2) central point,Divide for incidence wave wave vector x
Amount,For incidence wave wave vector y-component,For back wave wave vector x-component,For back wave wave vector y-component, incidence wave wave vector and anti-
Ejected wave wave vector only exists x-component and y-component.
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| CN109786965A (en) * | 2019-03-15 | 2019-05-21 | 东南大学 | The control of micro- band beams and polarization changer based on graphene and preparation method thereof |
| CN112072323A (en) * | 2020-09-03 | 2020-12-11 | 浙江科技学院 | Terahertz switch based on metal and vanadium dioxide |
| CN114267950A (en) * | 2021-11-09 | 2022-04-01 | 上海交通大学 | Terahertz graphene holographic impedance surface antenna and communication system |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112072323A (en) * | 2020-09-03 | 2020-12-11 | 浙江科技学院 | Terahertz switch based on metal and vanadium dioxide |
| CN114267950A (en) * | 2021-11-09 | 2022-04-01 | 上海交通大学 | Terahertz graphene holographic impedance surface antenna and communication system |
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