CN110061355A - A kind of Arbitrary Waveform Generator and setting method based on super structure surface - Google Patents

A kind of Arbitrary Waveform Generator and setting method based on super structure surface Download PDF

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Publication number
CN110061355A
CN110061355A CN201910143708.5A CN201910143708A CN110061355A CN 110061355 A CN110061355 A CN 110061355A CN 201910143708 A CN201910143708 A CN 201910143708A CN 110061355 A CN110061355 A CN 110061355A
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amplitude
phase
structure surface
unit
super structure
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李海鹏
王光明
侯海生
蔡通
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Air Force Engineering University of PLA
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q15/00Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
    • H01Q15/0006Devices acting selectively as reflecting surface, as diffracting or as refracting device, e.g. frequency filtering or angular spatial filtering devices
    • H01Q15/0086Devices 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
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q21/00Antenna arrays or systems
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q21/00Antenna arrays or systems
    • H01Q21/0087Apparatus or processes specially adapted for manufacturing antenna arrays
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26Arrangements 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
    • H01Q3/28Arrangements 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
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26Arrangements 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
    • H01Q3/30Arrangements 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

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  • Manufacturing & Machinery (AREA)
  • Aerials With Secondary Devices (AREA)

Abstract

The setting method of Arbitrary Waveform Generator based on super structure surface, setting while the super structure surface cell with amplitude and phase ability of regulation and control, wherein amplitude regulation rotates angle by adjustment unit and phase-modulation then relies on and changes unit size;Surpass structure surface phase and amplitude distribution using genetic algorithm optimization, it is made to form target direction figure in far field;The amplitude and phase distribution intercepted and captured using the super structure surface of Vivaldi antenna irradiation, mating surface calculate the amplitude and phase distribution that target far-field pattern needs to compensate of generating;According to above-mentioned steps, fan-shaped baud generator is provided.Device can form fan-shaped far-field pattern well within the scope of 9.5-10.5GHz as the result is shown for analysis.

Description

A kind of Arbitrary Waveform Generator and setting method based on super structure surface
Technical field
The invention belongs to microwave technical field, it is related to Arbitrary Waveform Generator and setting method based on super structure surface.
Background technique
The carry out that super structure surface (Metasurface, MS) is capable of the characteristics such as phase, amplitude and polarization to electromagnetic wave is flexible Regulation, while it has low-loss, easy processing, low cost, advantages of simple structure and simple, has become metamaterial area research Hot spot and forward position.Super structure surface is substantially a kind of Meta Materials of two dimensional form, it mainly passes through closes onto a media surface in response Reason ground is laid out unit paracycle of some sub-wavelength structures, to realize the regulation to electromagnetic wave.In recent years, super structure surface has been Be widely used in be arranged unusual/reflector, beam splitter, the surface (radar cross section) low RCS with And SPP coupler etc..However, above-mentioned super structure surface only realizes the modulation to electromagnetic wave phase, the tune of its amplitude is had ignored System.Independence regulation to amplitude and phase, is just able to achieve the complete modulation of electromagnetic wave, to generate new physical phenomenon and birth Raw new application field.
Summary of the invention
It is an object of the present invention to which the super structure surface cell that can independently regulate and control electromagnetic wave is arranged, and utilize genetic algorithm To super surface amplitude and phase distribution, and then provide the setting and implementation method of a kind of Arbitrary Waveform Generator.
The technical scheme is that a kind of setting method of the Arbitrary Waveform Generator based on super structure surface, the side Method includes: setting while the super structure surface cell with amplitude and phase ability of regulation and control, wherein amplitude regulation is single by adjustment Member rotates angle and phase-modulation then relies on and changes unit size;Surpass structure surface phase and amplitude point using genetic algorithm optimization Cloth makes it form target direction figure in far field;Using the super structure surface of Vivaldi antenna irradiation, amplitude that mating surface is intercepted and captured and Phase distribution calculates the amplitude and phase distribution that target far-field pattern needs to compensate of generating;According to above-mentioned steps, finally The validity of the fan-shaped waveform generator verifying above method is provided.
The amplitude and phase distribution intercepted and captured using the super structure surface of Vivaldi antenna irradiation, mating surface, calculate generation mesh The amplitude and phase distribution that mark far-field pattern needs to compensate;
According to above-mentioned steps, fan-shaped baud generator is finally provided.
The Arbitrary Waveform Generator based on super structure surface has the super structure table that can regulate and control amplitude and phase simultaneously Face unit, comprising: surface cell is deformation H-shaped structure, and deformation H-shaped structure refers to two perpendicular arc-shaped as two, the deformation H of H It is the circle being open that the unit of shape, which is with upper and lower two notches,.
The cross with y-axis (opposed vertical line) angle β of H-shaped change from 0 ° -45 ° in unit, unit openings of sizes (i.e. unit Center is the angle heart, the angle that the cross of H-shaped is formed with opening) α is from when changing to 37 ° for 87 °, reflection coefficient components RxyAmplitude 1 is changed to from 0, phase covers 0 ° to 180 ° range;β still changes to 37 ° from 87 ° from -45 ° of -0 ° of variations, α, reflection coefficient Components RxyAmplitude change to 0 from 1, phase covers 180 ° to 360 ° ranges, realizes all standing of amplitude and phase.
The setting utilizes genetic algorithm optimization surface amplitude and phase distribution, comprising:
In Matlab, using genetic algorithm, and associative array antenna radiation pattern product theorem, calculate plane wave item Amplitude (T needed for generating target waveform under parta) and phase distribution (Tp)
The method also includes: the super structure surface of Vivaldi antenna irradiation is utilized, the width that super structure surface is intercepted and captured is simulated and calculate Spend (Ia) and phase distribution (Ip), and then obtain the amplitude (C that excess of export structure surface needs to compensatea) and phase distribution (Cp);Finally set Set out the fan-shaped beam generator based on super structure surface.
In embodiment, the setting has the super structure surface cell that can regulate and control amplitude and phase simultaneously, comprising: setting Center operating frequency f0=10GHz;Using deformation H structure, from 0 ° of -45 ° of variation, unit opening is big by unit and y-axis angle β Small α is from when changing to 37 ° for 87 °, reflection coefficient components RxyAmplitude change to 1 from 0, phase covers 0 ° to 180 ° range;β from- 45 ° of -0 ° of variations, α still change to 37 ° from 87 °, reflection coefficient components RxyAmplitude change to 0 from 1, phase covers 180 ° and arrives 360 ° of ranges, realize all standing of amplitude and phase.
In some embodiments, the setting using genetic algorithm optimization surface amplitude and phase distribution, in particular to In Matlab, using genetic algorithm, and associative array antenna radiation pattern product theorem, calculates and generate mesh under the conditions of plane wave Amplitude (T needed for marking waveforma) and phase distribution (Tp)。
In embodiment, using the super structure surface of Vivaldi antenna irradiation, simulate and calculate the amplitude that super structure surface is intercepted and captured (Ia) and phase distribution (Ip), and then obtain the amplitude (C that excess of export structure surface needs to compensatea) and phase distribution (Cp), and finally set Set out the fan-shaped beam generator based on super structure surface.
Compared with prior art, beneficial effects of the present invention: the present invention takes the lead in utilizing genetic algorithm while the super structure table of optimization The amplitude and phase in face are distributed, and provide a kind of pervasive method for waveform generator of the setting based on super structure surface;Using width Band Vivaldi antenna is greatly reduced and is blocked to reflected beam as feed;It is successfully provided for the first time based on super structure table The broadband sector Beam generator in face, working band cover 9.5-10.5GHz.
Detailed description of the invention
By reading a detailed description of non-restrictive embodiments in the light of the attached drawings below, the application's is other Feature, objects and advantages will become more apparent upon:
Fig. 1 is the flow chart according to one embodiment of the setting method of any polarization SPP generator of one kind of the application;
Fig. 2 is cellular construction schematic diagram;(a) it is plan view, (b) is three-dimensional structure diagram.
Fig. 3 is the analogous diagram of unit reflectance magnitude and phase, wherein Fig. 3 (a) is R under different α valuesxyPhase with Frequency variation curve, Fig. 3 (b) are R under different beta valuexyAmplitude is with frequency variation curve;
Fig. 4 (a), as α is reduced to 37 ° from 87 °, Arg (Rxy) 180 ° of phase modification scopes are realized at 10GHz, Amplitude is consistently higher than 0.8.Fig. 4 (b), as β changes to 0 ° from 45 °, Am (Rxy) from 1 change to 0.Give unit phase and Amplitude curve varying with frequency.
Fig. 5 is unit RxyThe amplitude and phase of coefficient are with incidence wave angle change curve;
Fig. 6 is RxyThe phasor of coefficient, wherein Fig. 6 (a) is RxyThe two-dimentional phasor that changes simultaneously with α and β of phase, Fig. 6 It (b) is RxyThe two-dimentional phasor that changes simultaneously with α and β of amplitude;
Fig. 7 is antenna pattern of the reference unit at 10GHz;
Fig. 8 is the schematic diagram for calculating antenna pattern;
Fig. 9 is the flow chart being distributed using genetic algorithm optimization amplitude and phase;
Figure 10 is distributed to generate the final phase and amplitude of fan-shaped beam institute optimization;
Figure 11 is the structural schematic diagram of Vivaldi feed antenna;
Figure 12 is super structure surface model;
Figure 13 is phase distribution, wherein Figure 13 (a) is target amplitude (| T |) distribution, Figure 13 (b) be intercepting and capturing amplitude (| I |) distribution, Figure 13 (c) is compensation magnitude (| C |) distribution;
Figure 14 is amplitude distribution, wherein Figure 14 (a) is target amplitude (φT) distribution, Figure 14 (b) is intercepting and capturing amplitude (φI) Distribution, Figure 14 (c) are compensation magnitude (φC) distribution;
Figure 15 is target, genetic algorithm optimization, emulation and the comparison of the directional diagram of test at 10GHz.
Figure 16 is phasor of the waveform about frequency and angle, and wherein Figure 16 (a) is simulation result, and Figure 16 (b) is test knot Fruit.
Specific embodiment
Technical solution of the present invention is described in more detail with specific embodiment with reference to the accompanying drawing.It can manage Solution, specific embodiment described herein are used only for explaining related invention, rather than the restriction to the invention.In addition also It should be noted that illustrating only part relevant to related invention for ease of description, in attached drawing.
Step 101, setting has the super structure surface cell that can regulate and control electromagnetic wave amplitude and phase simultaneously.
With reference to Fig. 1, a kind of setting method of Arbitrary Waveform Generator based on super structure surface according to the application is shown One embodiment flow chart 100.The setting method of the Arbitrary Waveform Generator, comprising the following steps:
Step 101, setting has while regulating and controlling the super structure surface cell of electromagnetic wave amplitude and phase.In the present embodiment, Cellular construction and simulated environment are as shown in Figure 2.
Arbitrary Waveform Generator unit based on super structure surface includes two metal layers and a dielectric layer, bottom Quan Jin Belong to structure, upper layer is above-mentioned and deformation " H " patch for showing of diagram, middle layer, that is, dielectric layer use dielectric constant for 2.65 and With a thickness of the polytetrafluoroethylglass glass cloth plate of 3mm.Unit is emulated using the microwave studio in CST, wherein x and the side y To cycle boundary is used, unit reflection coefficient is represented byIn this example, the brachium of " H " unit is utilized (r α) and symmetry axis and the angle (β) of y-axis control R respectivelyxy(Ryx) phase and amplitude.Wherein r is the half of unit outline border circle Diameter, α are the extension angle of H arm.Since there are rotational symmetries for unit, only analysis incidence wave is the case where y polarizes, R herexy's Phase and amplitude uses Arg (R respectivelyxy) and Am (Rxy) indicate.With reference to Fig. 4 (a), as α is reduced to 37 ° from 87 °, Arg (Rxy) 180 ° of phase modification scopes are realized at 10GHz, amplitude is consistently higher than 0.8.And when β reindexing, due to antisymmetry The presence of property, Arg (Rxy) it will appear 180 ° of phase hit, thus R may be implemented using the variation of α value and β symbolxy The control (360 ° of ranges) of all phase.With reference to Fig. 4 (b), as β changes to 0 ° from 45 °, Am (Rxy) from 1 change to 0.And due to Am(Rxy) and Am (Ryy) meet the conservation of energy i.e. quadratic sum equal to 1, thus Am (Ryy) with Am (Rxy) reduction and increase.It is single Member in this manner, is partitioned energy into useless polarized back wave, to realize the control to useful polarization reflection wave amplitude System.Arbitrary Waveform Generator based on super structure surface, characterized in that include: surface cell to deform H-shaped structure, deform H-shaped Structure refer to H two it is perpendicular become two it is arc-shaped, the unit for deforming H-shaped is the circle being open with upper and lower two notches;
Deform in H-shaped structure in unit: for the cross of deformation H-shaped structure with y-axis angle β from 0 ° of -45 ° of variation, unit opening is big Small: unit center is the angle heart, and the angle [alpha] that the cross of H-shaped is formed with opening is from when changing to 37 ° for 87 °;
Comprising two metal layers and a dielectric layer, bottom is all-metal structure, and upper surface unit is deformation " H " patch Piece deforms H-shaped structure, and dielectric layer uses dielectric constant for 2.65 and with a thickness of the polytetrafluoroethylglass glass cloth plate of 3mm.
With reference in Fig. 4, unit phase and amplitude curve varying with frequency, different parameters condition is set forth in a, b Under, element amplitude and phase curve are preferable in 7-11GHz extent parallel degree, ensure that the wideband operation of unit.
With reference to Fig. 5, element amplitude and phase are given with the curve of incidence wave angle change, it can be seen that 40 ° of ranges Interior element amplitude and phase characteristic variation are smaller, this will provide foundation for the placement location of feed.
Fig. 6 is RxyThe phasor of coefficient, wherein Fig. 6 (a) is RxyThe two-dimentional phasor that changes simultaneously with α and β of phase, Fig. 6 It (b) is RxyThe two-dimentional phasor that changes simultaneously with α and β of amplitude;In order to obtain more accurate amplitude and phase characteristic, Fig. 6 divides Arg (R is not givenxy) and Am (Rxy) with the two-dimentional phasor of α and β variation.Given amplitude and phase are distributed, Ke Yili Most accurate α and β distribution is obtained with Fig. 6.
Step 102, super surface scattering patterns calculating formula is derived, and according to target direction figure calculation formula, is established excellent Change the mathematical model of target.
According to the correlation theory of cell array antenna, the amplitude and phase distribution by optimizing antenna element is capable of forming spy The far-field pattern of different shape.In this example, the general process of model foundation is introduced for forming fan-shaped beam.It is fan-shaped Wave beam can be usedIt indicates, wherein θ is azimuth.For N member linear array, far field direction Chart is shown asWherein f (θ) is element factor, InFor the excitation amplitude of n-th of unit, dnFor Distance of n-th of unit to array center.In this example, use structure size for α=87 ° and β=45 ° (amplitude 1, ginseng Examining phase is unit 0) as reference unit, and the directional diagram under plane wave excitation is as f (θ).With reference to Fig. 8, due to mesh Mark directional diagram be it is symmetrical, the amplitude and phase distribution of unit is also to take N=13 and enable center for ginseng about centrosymmetric Unit (amplitude 1, fixed phase 0) is examined, using above-mentioned primary condition, can simplify far-field pattern isWherein d is the unit period.
In order to search out the distribution of optimal phase and amplitude, introduces genetic algorithm and optimize, optimize amplitude and phase Range beAccording to the directional diagram expression formula simplified, it is only necessary to optimize the amplitude and phase of 6 units, gene Sequence is expressed asUtilize least square method, the mesh of optimization Scalar functions are set asWherein Q=181 is discrete orientation angles quantity (1 ° of interval), The flow chart of genetic algorithm is as shown in Figure 9.By optimization, amplitude and phase distribution as shown in Figure 10 is finally obtained.
Step 103, using Vivaldi antenna as feed, second compensation is carried out to the amplitude and phase of optimization, and obtain The parameter distribution final to target waveform generator.With reference to Figure 11, the structure chart of Vivaldi antenna is given, parameter value is such as Under: w1=14mm, w2=1mm, w3=0.95mm, l1=41.2mm, l2=50mm, g1=0.5mm, g2=1mm, r=1.9mm. What it is due to the sending of Vivaldi antenna is not plane wave, and the amplitude and phase for being irradiated to super structure surface are not uniform, need Second compensation is carried out to the amplitude and phase of optimization.Compensation formula is expressed as T=I × C, wherein T is genetic algorithm optimization Obtained objective matrix, I must intercept and capture matrix to super structure surface for Vivaldi antenna irradiation, and C is the compensation matrix finally needed. Wherein, I and T is known matrix, and C is required matrix, can be expressed asIn distance Viewing surface with super structure surface same size is set at Vivaldi antenna 60mm, to obtain intercepting and capturing the amplitude and phase of matrix Distribution.And the amplitude and phase of compensation matrix are respectivelyWith reference to Figure 13-14, it can be observed that T, I and The phase and amplitude of C is distributed.
According to the distribution of the amplitude and phase of Fig. 6 and compensation matrix, the parameter distribution on super structure surface is obtained, and then establish such as The super structure surface model of Figure 12.Super structure surface is emulated using CST, and sample is tested in darkroom.With reference to figure 15, target direction figure, genetic algorithm optimization directional diagram, sample emulation and measurement direction figure is set forth.It can from figure Out, genetic algorithm optimization directional diagram only fluctuation of 0.5dB in [- 40 °, 40 °] range, forms preferable rectangle wave beam (being fan-shaped beam under polar coordinates).Sample emulation coincide preferably with measurement direction figure, and simulation result exists at [- 40 °, 40 °] The fluctuation of 1.5dB, and then there is the fluctuation of 2dB in test result, be primarily due to optimization process with the difference of genetic algorithm result In do not account for intercoupling between unit.In addition, all directional diagram minor lobes are below -17dB.It is generated to observe waveform The bandwidth situation of device, with reference to Figure 16, emulation and the equal display waveform generator of test result are within the scope of 9.5-10.5GHz in Heart district domain forms preferable bright band region.
It although an embodiment of the present invention has been shown and described, for the ordinary skill in the art, can be with A variety of variations, modification, replacement can be carried out to these embodiments without departing from the principles and spirit of the present invention by understanding And modification, the scope of the present invention is defined by the appended.

Claims (9)

1. a kind of setting method of the Arbitrary Waveform Generator based on super structure surface, characterized in that include the following steps:
It is arranged while having the super structure surface cell of amplitude and phase ability of regulation and control, wherein amplitude regulation is revolved by adjustment unit Gyration and phase-modulation are then by changing unit size;
Surpass structure surface phase and amplitude distribution using genetic algorithm optimization, it is made to form target direction figure in far field;
It is remote to calculate generation target for the amplitude and phase distribution intercepted and captured using the super structure surface of Vivaldi antenna irradiation, mating surface Field pattern needs the amplitude and phase distribution compensated;
According to above-mentioned steps, fan-shaped baud generator is provided.
2. the setting method of the Arbitrary Waveform Generator according to claim 1 based on super structure surface, characterized in that described It is arranged with the super structure surface cell that can regulate and control amplitude and phase simultaneously:
Using deformation H-shaped structure, deformation H-shaped structure refer to H two it is perpendicular become two it is arc-shaped, the unit for deforming H-shaped is with upper Lower two notches are the circle being open;From 0 ° of -45 ° of variation, unit openings of sizes α changes to 37 ° from 87 ° by unit and y-axis angle β When, reflection coefficient components RxyAmplitude change to 1 from 0, phase covers 0 ° to 180 ° range;β from -45 ° -0 ° variation, α still from 87 ° change to 37 °, reflection coefficient components RxyAmplitude change to 0 from 1, phase covers 180 ° to 360 ° ranges, realizes amplitude With all standing of phase.
3. the setting method of the Arbitrary Waveform Generator according to claim 1 based on super structure surface, which is characterized in that institute It states setting and utilizes genetic algorithm optimization surface amplitude and phase distribution, comprising:
In Matlab, using genetic algorithm, and associative array antenna radiation pattern product theorem, calculates and produce under the conditions of plane wave Amplitude (T needed for raw target waveforma) and phase distribution (Tp)。
4. the setting method of the Arbitrary Waveform Generator according to claim 1 based on super structure surface, characterized in that described Method further include:
Using the super structure surface of Vivaldi antenna irradiation, the amplitude (I that super structure surface is intercepted and captured is simulated and calculateda) and phase distribution (Ip), and then obtain the amplitude (C that excess of export structure surface needs to compensatea) and phase distribution (Cp);
The fan-shaped beam generator based on super structure surface is finally provided.
5. the setting method of the Arbitrary Waveform Generator based on super structure surface described in one of -4 according to claim 1, feature It is to be emulated using the microwave studio in CST to unit, wherein x and y-axis direction use cycle boundary, unit reflection system Number is represented byThe brachium r α and symmetry axis and the angle (β) of y-axis of utilization " H " unit control R respectivelyxy (Ryx) phase and amplitude;Wherein r is the radius of unit outline border circle, and α is the extension angle of H arm;
Incidence wave is the case where y polarizes, RxyPhase and amplitude use Arg (R respectivelyxy) and Am (Rxy) indicate;As α subtracts from 87 ° Small to 37 °, Arg (Rxy) 180 ° of phase modification scopes are realized at 10GHz, amplitude is consistently higher than 0.8.And when β changes symbol Number when, due to the presence of skew-symmetry, Arg (Rxy) it will appear 180 ° of phase hit, thus utilize α value and β symbol R is realized in variationxy360 ° of ranges of control of all phase;
Super surface scattering patterns calculating formula is derived, and according to target direction figure calculation formula, establishes the mathematics of optimization aim Model:
According to the correlation theory of array antenna, the amplitude and phase distribution by optimizing antenna element is capable of forming special shape Far-field pattern;Fan-shaped beam is usedIt indicates, wherein θ is azimuth;For N member linear array, Its far-field pattern is expressed asWherein f (θ) is element factor, InFor the excitation of n-th of unit Amplitude, dnFor the distance of n-th of unit to array center;Use structure size for α=87 ° and β=45 °, amplitude 1, reference The unit that phase is 0 is as reference unit, and the directional diagram under plane wave excitation is as f (θ);Since target direction figure is pair Claim, the distribution of the amplitude and phase of unit be also about centrosymmetric, take N=13 and enable center be reference unit, amplitude 1, Fixed phase is 0, and using above-mentioned primary condition, simplifying far-field pattern is Wherein d is the unit period.
6. the setting method of the Arbitrary Waveform Generator according to claim 5 based on super structure surface, characterized in that use Genetic algorithm optimizes, and the range for optimizing amplitude and phase isAccording to the directional diagram expression formula simplified, it is only necessary to Optimize the amplitude and phase of 6 units, gene order is expressed as Using least square method, the objective function of optimization is set asWherein Q=181 is discrete Orientation angles quantity (1 ° interval) obtain amplitude and phase distribution.
7. the setting method of the Arbitrary Waveform Generator according to claim 5 based on super structure surface, characterized in that use Vivaldi antenna carries out second compensation as feed, to the amplitude and phase of optimization, and it is final to obtain target waveform generator Parameter distribution;What it is due to the sending of Vivaldi antenna is not plane wave, and it is not equal for being irradiated to the amplitude and phase on super structure surface One, it needs to carry out second compensation to the amplitude and phase of optimization;Compensation formula is expressed as T=I × C, and wherein T is genetic algorithm Optimize obtained objective matrix, I must intercept and capture matrix to super structure surface for Vivaldi antenna irradiation, and C is the compensation square finally needed Battle array;Wherein, I and T is known matrix, and C is required matrix, can be expressed asIn distance Viewing surface with super structure surface same size is set at Vivaldi antenna 60mm, to obtain intercepting and capturing the amplitude and phase of matrix Distribution.And the amplitude and phase of compensation matrix are respectivelyObserve the phase and amplitude point of T, I and C Cloth;
Amplitude and phase according to compensation matrix are distributed, and obtain the parameter distribution on super structure surface, and then the super structure surface modes established Type.
8. the Arbitrary Waveform Generator based on super structure surface, characterized in that have the super structure that can regulate and control amplitude and phase simultaneously Surface cell, comprising: surface cell is deformation H-shaped structure, and deformation H-shaped structure refers to two perpendicular arc-shaped as two, the deformation H of H It is the circle being open that the unit of shape, which is with upper and lower two notches,;
From 0 ° of -45 ° of variation, unit openings of sizes, that is, unit center is the cross with y-axis (opposed vertical line) angle β of H-shaped in unit The angle heart, the angle [alpha] that the cross of H-shaped is formed with opening is from when changing to 37 ° for 87 °, reflection coefficient components RxyAmplitude changed to from 0 1, phase covers 0 ° to 180 ° range;β still changes to 37 ° from 87 ° from -45 ° of -0 ° of variations, α, reflection coefficient components RxyWidth Degree changes to 0 from 1, and phase covers 180 ° to 360 ° ranges, realizes all standing of amplitude and phase.
9. the Arbitrary Waveform Generator unit according to claim 8 based on super structure surface, characterized in that include two gold Belong to layer and a dielectric layer, bottom is all-metal structure, and upper layer is above-mentioned and illustrates deformation " H " patch shown, and dielectric layer is adopted It is 2.65 and with a thickness of the polytetrafluoroethylglass glass cloth plate of 3mm with dielectric constant.
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