CN104809282A - Method for constructing shaping field source based on metal scattering body assisting - Google Patents

Method for constructing shaping field source based on metal scattering body assisting Download PDF

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CN104809282A
CN104809282A CN201510191688.0A CN201510191688A CN104809282A CN 104809282 A CN104809282 A CN 104809282A CN 201510191688 A CN201510191688 A CN 201510191688A CN 104809282 A CN104809282 A CN 104809282A
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field
figuration
diffusing structure
field source
metal strip
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CN104809282B (en
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赵德双
朱敏
孙虎
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University of Electronic Science and Technology of China
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Abstract

The invention provides a method for constructing a shaping field source based on metal scattering body assisting, and belongs to the technical field of electromagnetic wave space propagation and control. The method is different from the method which uses the simple space discrete array for building the shaping field source. The novel method for constructing the shaping field source by adding a simple metal scattering body around the space discrete array or outside the shaping field area is provided on the basis of the electromagnetic scattering wave random phase cancelling principle in a composite medium space, and is used for sharpening an edge field of the shaping field and reducing the problem of excessive and overhigh side lobes outside the area. The method has the advantages that the geometric boundary of the shaping field can be sharpened, the problem of the side lobes outside the shaping field area can be effectively solved, the operation and implementing are simple and convenient, the complicated and time-wasted space field calculation and number optimizing are not needed, and the constructing difficulty of the high-quality shaping field source is greatly simplified.

Description

Based on the figuration field source building method that metallic cylinders is auxiliary
Technical field
The invention belongs to electromagnetic spatial and control field, be specifically related to the constitution optimization method of figuration field source in a kind of electromagnetic field figuration.
Background technology
Electromagnetic wave is in the utilization in fields such as communicating, medical, industrial, allow people pay close attention to always and study electromagnetic wave propagation control technology, antenna and array, Meta Materials, circuit devcie etc. are all a kind of approach that control wave is propagated, mainly control direction of wave travel, the i.e. control of directional diagram by various method.And constantly expand along with electromagnetic range of application, the application particularly in the fields such as biology, medical science, chemistry, industry, the various control problem researchs of " wave field " start the concern obtaining scholars.The regeneration of any wave field is then one of them difficult point.
The current great majority of transmission controe Study on Problems of " wave field " are all based on sub-wavelength structure or Meta Materials material.Document " J.B.Pendry, D.Schurig, D.R.Smith, Controlling Electromagnetic Fields, Science, 2006 " set forth and utilizes Meta Materials control the bending of electromagnetic wave field to achieve the stealthy of target; Document " F.Lemoult, m.Fink andG.Lerosey, Wave propagation control at the deep subwavelength scale in metamaterials, Nature Physics, 2012 " transmission controe of the several different directions achieving electromagnetic wave field based on sub-wavelength structure has been set forth.There are many application Meta Materials and sub-wavelength structure research aspect on the scene, but are confined to material and structure, and they also exist without the shortcoming such as dirigibility and non-general applicability, are not easy to the formation research for studying any field.The researchers such as Sascha Spors pass through acoustics research all the year round, obtain the theoretical analysis generated about any sound field, such as document " Sascha Spors; RudolfRabenstein; and Jens Ahrens; The Theory of Wave Field Synthesis Revisited, 2008 ".But it still can not accomplish at a time to form specific area of space field.According to uniqueness theorem, in occluding surface, by source and its tangential magnetic field and the electromagnetism of surface boundary, the magnetic distribution in determination region that can be unique.But realize electromagnetic field figuration according to theorem and need a large amount of calculating and optimization, the field source pumping signal obtaining surface boundary hinders generation key factor of research arbitrary shape electromagnetic wave field.Therefore how easyly namely electromagnetic wave field that peripheral excitation waveform signal is used for generating arbitrary shape always is research emphasis to electromagnetic field figuration is obtained.
Patent " Zhao Deshuang, Zhu Min, Yang Changxing; based on the external electromagnetic field figuration production method of time reversal Electromagnetic Wave Propagation; 2014 (application number: 2014104401167) " realize unique characteristic such as the reproduction of signal according to synchronizing focus during time reversal empty, adaptive space electromagnetic transmission, propose the method for the figuration based on time reversal implementation space electromagnetic field.The method is transmitted by target field source, and the electromagnetic field on record S surface, carries out time reversal (or frequency domain conjugation) to it, can obtain realizing expecting the S surface field source distribution of interior field distribution.The method only need be carried out a forward and be calculated or measure, without the need to troublesome calculation.This invention has wide range of applications, and can be applicable to the numerous areas such as oncotherapy, biological effect research, Microwave breeding, microwave cutting, secret communication, microwave heating, its Research Significance is great.But this invention is because be that when utilizing TR empty, focusing has carried out the superposition of field, so also exist to exist outside the focal zone of figuration field secondary lobe too much, secondary lobe amplitude is too high, the deficiencies such as figuration field profile passivation, these deficiencies will limit the application of this invention in some field.
Therefore, how removing secondary lobe, reducing secondary lobe amplitude and border, sharpening figuration field is another difficult point in the research of electromagnetic field figuration, and the figuration field source building method auxiliary based on metallic cylinders that the present invention proposes can effectively address this problem.
Summary of the invention
The invention provides a kind of figuration field source building method auxiliary based on metallic cylinders, with solve utilize time reversal technology to realize in electromagnetic field figuration secondary lobe too much and side lobe levels is too high, the problem of figuration field passivation.Different from the simple spatial spreading Array Construction figuration field source of employing, the present invention is in order to sharpening figuration field edge field and reduce too much, the too high problem of secondary lobe outside region, disappearing mutually on the basis of principle at random based on the electromagnetic scattering ripple in complicated medium space, proposing a kind of novel figuration field source building method adding simple wire scatterer at spatial spreading array periphery or figuration field areas outward.The method can not only sharpening figuration field geometrical boundary, and effectively can solve the outer secondary lobe problem of figuration field areas, operation realizes simple, convenient, and the spatial field without the need to complexity consuming time calculates and numerical optimization, considerably simplify the structure difficulty of high-quality figuration field source.
Theoretical foundation of the present invention to disappear mutually at random principle based on the electromagnetic scattering ripple in complicated medium space.Scatterer to the disturbance of periphery electromagnetic wave, can will eliminate figuration field secondary lobe, then the position that scatterer arranges should at figuration field source periphery, the negative value corresponding with side lobe levels is produced by scatterer, utilize superposition principle, scattered field superposes with incident field, can produce suitable figuration field.Concrete theoretical analysis is as follows:
If peripheral 1st district of scatterer, be homogeneous medium space, specific inductive capacity is ε 1(can be plural number), be 2nd district in scatterer, specific inductive capacity is ε 2(also can be plural number), so the field of space any point is incident field and the superposing of scattered field.Suppose that in electromagnetic field figuration, the initial figuration electromagnetic field produced is E i, after introducing loose colour solid, the scattered field of loose colour solid is E s, then according to body equivalent theorem last to actual figuration electromagnetic field can be expressed as:
E=E i+E s(1)
Such scatterer field just can be defined as the difference of actual field when scatterer exists and incident field, is expressed as follows:
E s=E-E i(1)
According to body equivalent theorem, scattered field is that body equivalent current is at unlimited uniform ε 1radiation field in medium, can be expressed as:
E s = ∫ ∫ ∫ V G = · J e d V ' - - - ( 2 )
Wherein V is the spatial volume at scatterer place, dyadic Green's function, J eit is body equivalent current; And dyadic Green's function relevant with scatterer position, can be expressed as:
G = = A 0 e - jk | r - r ' | | r - r ' | - - - ( 3 )
Body equivalent current is then expressed as follows:
J e=jω(ε 21)E 2(4)
Wherein E 2represent electric field value when field point r is taken in scatterer, can find out that body equivalent current is relevant to scatterer.
When point r is taken in scatterer then and there, according to body equivalent theorem E 2=E i+ E s, utilize (2) and (4) to obtain volume integral equations:
Wherein C 0=j ω (ε 21); Separating integral equation can in the hope of E 2, then (4) formula of taking back obtains body equivalent current, and then, can by the scattered field of any point in body equivalent current distribution computer memory according to formula (2).
Convolution (1), by appropriate design scattering, produce corresponding scattered field, the distribution of original can be changed, the scattered field particularly produced when scatterer can produce an amplitude cancellation field with original field on boundary profile position, then can sharpening figuration field boundary profile, produce high-quality figuration field.Based on this principle, the present invention proposes the novel figuration field source building method adding simple wire scatterer at spatial spreading array periphery or figuration field areas outward, in order to optimize figuration electromagnetic field.
The present invention specifically adopts following technical scheme:
Based on the figuration field source building method that metallic cylinders is auxiliary, comprise the following steps:
Step one: basis of formation figuration field source;
Expection figuration electromagnetic field geometrical plane is obtained geometric figure, changes into grid point battle array discrete for geometric figure, the grid point that each is discrete settles an omni-directional source antenna, form figuration field source thus, this field source can ensure electromagnetic omni-directional radiation; Wherein according to the restriction of Rayleigh diffraction, to ensure the continuity of figuration electromagnetic field, the spacing of adjacent discrete grid point needs to be not more than half free space wavelength; Meanwhile, in order to reduce the mutual coupling between adjacent source antenna, discrete point spacing should be excessively not near, therefore discrete point spacing is preferably got and is slightly less than half wavelength and the minimum resolution being not less than antenna;
Step 2: the position determining the metallic cylinders that auxiliary field source produces;
Known according to the expression formula (2) of scattered field, metallic cylinders is large to the perturbation action of its periphery electromagnetic field, and the perturbation action that long distance is left the theatre is little; Therefore, sharpening figuration field profile, eliminate figuration field secondary lobe just needs carry out electromagnetic disturbance at figuration field source periphery interpolation metallic cylinders;
Therefore arrange metallic cylinders on the circumference of figuration electromagnetic field geometrical plane, the geometrical plane profile of described figuration electromagnetic field surrounds by region that described metallic cylinders surrounds completely;
Step 3: determine the auxiliary concrete structure producing the metallic cylinders of field source;
Described metallic cylinders comprises the metal strip diffusing structure of consistent, the discrete arrangement of multiple shape, the long side direction of described multiple metal strip diffusing structure is perpendicular to figuration field geometrical plane, and described multiple metal strip diffusing structure is parallel to each other on the discrete circumference being arranged in figuration electromagnetic field geometrical plane;
When figuration field source periphery interpolation scatterer carries out electromagnetic disturbance, while guaranteeing to eliminate secondary lobe, also need to consider that scatterer can not hinder electromagnetic wave propagation, reduce the focusing effect of figuration electromagnetic field; Therefore, metallic cylinders can not be the bulk metal structure of the encirclement figuration field source of monoblock, and should in dot matrix be distributed in figuration field source periphery; This also means that scatterer is small-scale structure; And for the length of metal strip diffusing structure, utilize resonance equivalent principle can carry out surface analysis, the equivalent electrical circuit of metal strip diffusing structure can regard the rlc circuit of series connection as, and its impedance can be expressed as:
Z = jωL + 1 jωC + R = j ( 2 πfL - 1 2 πfC ) + R - - - ( 7 )
Wherein L, C, R, f represent the frequency of operation of the equivalent inductance value of metal strip diffusing structure, equivalent capacitance value, equivalent resistance and antenna respectively; When frequency of operation is f 0time, if when the length l changing metal strip diffusing structure makes it be in resonant condition, then now diffusing structure is real impedance, and the length of diffusing structure is resonance length l 00/ 2, wherein λ 0=c/f 0, c is the light velocity, and regulation scattered field phase place is now zero; Under identical frequency of operation, when the length l of metal strip diffusing structure is greater than resonance length l 0, the phase place of scattered field is just; When the length l of diffusing structure is less than resonance length l 0, the phase place of scattered field is negative; If therefore basic field is just in contour edge phase place, then scattered field should be just negative, and corresponding diffusing structure length should be less than l 0; If basic field is negative in contour edge phase place, then scattered field just should be just, and corresponding diffusing structure length should be greater than l 0; Again in conjunction with the above-mentioned body equivalent theorem about scattered field, the initial value of metal strip diffusing structure length can being obtained, by optimizing the appropriate length that can obtain diffusing structure further, carrying out figuration electromagnetic field sidelobe cancellation, boundary profile sharpening;
Step 4: the concrete arrangement of metal strip diffusing structure;
In principle, be worth size and phase propetry thereof, combination equivalent theorem according to basic figuration electromagnetic field profile and secondary lobe field, the scatterer of reasonable Arrangement one fixed structure can the optimization of optimized integration figuration electromagnetic field.Because directly accurate Calculation scatterer correlation parameter is loaded down with trivial details, binding isotherm of the present invention and practice, obtain a kind of arrangement rule building method of the metallic cylinders produced for auxiliary field source, concrete operations are: metal strip diffusing structure is arranged in figuration field source periphery, its arrangement shape is consistent with figuration field source shape, and the center distance of the rectangular diffusing structure of adjacent metal is consistent with the spacing of adjacent cells dot matrix in figuration field source, principle is just intersected according to linear in the similar corner of specific position, a metal strip diffusing structure is placed at joining place and flex point place, as depicted in figs. 1 and 2, construct novel figuration field source thus, realize the optimization of figuration electromagnetic field.
Beneficial effect of the present invention:
Method provided by the invention metallic cylinders of only need arranging assists the structure of figuration field source, just can eliminate figuration electromagnetic field secondary lobe, sharpening figuration electromagnetic field border, basic figuration electromagnetic field is optimized; Meanwhile, the method has dirigibility and universality, is applicable to the optimization of the figuration electromagnetic field of other shapes; Proposition of the present invention, is conducive to the increase of the range of application of figuration Research of electromagnetic field.
Accompanying drawing explanation
Fig. 1 the present invention is based on metal to fall apart the dot matrix schematic diagram of L shape figuration field source that colour solid assists.
Fig. 2 the present invention is based on metal to fall apart the dot matrix schematic diagram of T-shaped figuration field source that colour solid assists.
Fig. 3 is the dot matrix schematic diagram of the existing basic L shape figuration field source only constructed by " shaped aerial battle array ".
Fig. 4 is the antenna model figure adopted in example of the present invention.
Fig. 5 is the floor map of the basic model that figuration electromagnetic field produces.
Fig. 6 is L shape basis figuration field source and the electromagnetic field figuration simulation result schematic diagram of assisting figuration field source model based on metallic cylinders.
Fig. 7 is the dot matrix schematic diagram of the basic T-shaped figuration field source only constructed by " shaped aerial battle array ".
Fig. 8 is T-shaped basis figuration field source and the electromagnetic field figuration simulation result schematic diagram of assisting figuration field source model based on metallic cylinders.
Embodiment
Below in conjunction with drawings and Examples, describe technical scheme of the present invention in detail:
The present invention is the not enough problem that secondary lobe is too much, side lobe levels is too high that the figuration electromagnetic field obtained according to patent " the external electromagnetic field figuration production method based on time reversal Electromagnetic Wave Propagation " exists, propose and assist figuration field source building method based on metallic cylinders, controlling electromagnetism wave energy focuses in expection area of space more accurately, sharpening figuration electromagnetic field boundary profile.The present invention will prove with two case study on implementation, and one is based on the auxiliary L shape figuration field source of metallic cylinders; Another is based on the auxiliary T-shaped figuration field source of metallic cylinders.
Embodiment 1
The present embodiment provides based on the auxiliary L shape figuration field source implementation method of metallic cylinders, first, according to technical scheme steps one, and the basic figuration field source of structure L shape.Concrete grammar is by the geometric figure discretize of L shape, and as shown in Figure 3, the space D of its discrete sampling point requires to be slightly less than half wavelength (60mm), so D=59mm of the present invention; Secondly, carry out the arrangement of scatterer according to technical scheme steps and correlation theory, the figuration field source realized based on metallic cylinders is auxiliary builds:
(1) determine that the position of metallic cylinders is at figuration field source periphery, as shown in Figure 1, metallic cylinders and figuration field source spacing dw=0.2 × D;
(2) metallic cylinders self spacing is determined, most of adjacent metal spacing of faling apart between colour solid is the same with figuration source array element distance is D, specific position is as linear in corner then utilizes intersects principle determination scatterer position, its joining is scatterer settlement, as shown in Figure 1, wherein dw1=72.8mm, dw2=47.2mm;
(3) structure of metallic cylinders is determined; Value according to basic figuration electromagnetic field secondary lobe is less than or equal to zero, and the length l of metallic cylinders can not be less than resonance length l 0, in this example, the specification of metallic cylinders is 2mm × 2mm × 60mm.
The element antenna that the inventive method is adopted in an embodiment is isotropic dipole antenna, and this dipole model as shown in Figure 4.Overall antenna length is L, and upper and lower circular cone intercolumniation is d, and its compartment is feed port, and the axis of great circle of circular cone is D1, and axis of small circle is D2, and its concrete numerical value is as follows:
L D1 D2 d
41.3mm 8mm 2mm 1mm
In embodiments of the present invention, have employed circular " time reversal antenna array ", in order to reduce its element antenna, lowering the complexity of system, add a can formation enclosure space and enrich path, improve the focusing effect of time reversal technology, as shown in Figure 5.Therefore, when designing, a more suitable antenna angle spacing θ should be chosen, required L shape electromagnetic field figuration can be realized like this, also can simplify the complexity of system to a certain extent.In embodiments of the present invention, the distance R of " time reversal antenna array " range coordinate central point is chosen for 15 half-wavelengths, and the angular separation θ between element antenna is 20 °." inverting antenna array " is made up of 18 element antennas altogether, surrounds L shape " figuration field antenna array " metallic cylinders totally 20.
According to above-mentioned requirements, utilize electromagnetic field simulation software CST Microwave Studio 2012 to carry out modeling and simulation, the model set up based on Fig. 1 is designated as model one, and the model set up based on Fig. 3 is designated as model two.According to designed parameter, set up two models, then operation identical as follows carried out to two models:
First, using bandwidth in CST be the Gaussian modulation pulse of 1.5-3.5GHz as pumping signal, be synchronously fed into each array element of the figuration field source of L shape, allow its radiated electromagnetic wave signal.
Then, utilization " time reversal antenna array " receives simultaneously and gathers electromagnetic wave signal y (t) that figuration field source radiates.Again the electromagnetic wave signal received is carried out overturning or mirror image processing, namely obtain time reversal letter y tr(t).
Then, only remove the L shape figuration field source in model, and by obtained time reversal signal y trt () synchronous feed-in " time reversal antenna array " encourages, return radiation and go back.By arranging that probe knows moment point and the intensity level of the maximal value of probe location, by being arranged in the field monitor in original figuration field source region, monitor electromagnetic intensity size and the geometric configuration thereof of the maximum moment point of the inherent probe gained in this region.
As shown in Figure 6, Fig. 6 (a) is the figuration result of the basic figuration field source of model two to simulation result, and Fig. 6 (b) is the figuration result of the figuration field source that model one is assisted based on scatterer.Can it is evident that, the effect of Fig. 6 (b) is better than the effect of Fig. 6 (a).Can prove that the electromagnetic wave energy of the figuration electromagnetic field that the figuration source assisted based on metallic cylinders obtains is more concentrated thus, solve without under metallic cylinders aided case, the figuration electromagnetic field secondary lobe that figuration field source produces is too much, side lobe levels is too high, the weak point of figuration field profile passivation.
In order to prove general applicability of the present invention and feasibility, invention increases based on the auxiliary T-shaped figuration field source case study on implementation of metallic cylinders.
Embodiment 2
The present embodiment provides based on the auxiliary T-shaped figuration field source implementation method of metallic cylinders, the same with the implementation method of the L shape figuration field source of assisting based on metallic cylinders.First construct the basic figuration field source of T-shaped, as shown in Figure 7, adopt 13 spatial spreading array elements to form, its array element distance is also D (59mm); Secondly, construct based on the auxiliary figuration field source of metallic cylinders, as shown in Figure 2, apart from basic figuration location of source dw=0.2 × D place, according to technical solution of the present invention step arrangement metallic cylinders; Wherein most scatterer spacing is the same with figuration field source battle array spacing is D, and specific position and corner are equally according to straight line intersection principle, and its joining place is the locus of scatterer, dw3=47.2mm.Construct the metallic cylinders distribution that T-shaped shape surrounds figuration field source, have 27 scatterer array elements.This example antenna used is the same with L shape figuration electromagnetic field with frequency range, so the structure and specification of scatterer is also 2mm × 2mm × 60mm.
The TR antenna array of this example also adopts circular arrangement, and the distance R of its array element range coordinate central point is chosen for 15 half-wavelengths, and the angular separation θ between element antenna is 20 °, totally 18 array-element antenna.
According to above-mentioned requirements, utilize electromagnetic field simulation software CST Microwave Studio 2012 to carry out modeling and simulation, the model set up based on Fig. 2 is designated as model three, and the model set up based on Fig. 7 is designated as model four.Simulation process is identical with L shape electromagnetic field figuration step.Fig. 8 is the T-shaped figuration simulation result figure of two models.Fig. 8 (a) is the figuration result of model four basic T-shaped figuration field source, and Fig. 8 (b) is the figuration result of the figuration field source that model three is assisted based on scatterer.Can significantly find out, the figuration result of Fig. 8 (b) is better than Fig. 8 (a), and the figuration electromagnetic field secondary lobe that model three obtains is few, side lobe levels is low, and T-shaped figuration electromagnetic field clear-cut, figuration electromagnetic field obtains good optimization.
According to the above results, fully demonstrate reliability and the validity of the inventive method, also demonstrate that the general applicability based on the figuration field source building method of metallic cylinders and dirigibility simultaneously.

Claims (4)

1., based on the figuration field source building method that metallic cylinders is auxiliary, specifically comprise the following steps:
Step one: basis of formation figuration field source;
Expection figuration electromagnetic field geometrical plane is obtained geometric figure, changes into grid point battle array discrete for geometric figure, the grid point that each is discrete settles an omni-directional source antenna, thus formation base figuration field source;
Step 2: the position determining the metallic cylinders that auxiliary field source produces;
The circumference of figuration electromagnetic field geometrical plane arranges metallic cylinders, and the geometrical plane profile of described figuration electromagnetic field surrounds by region that described metallic cylinders surrounds completely;
Step 3: determine the auxiliary concrete structure producing the metallic cylinders of field source;
Described metallic cylinders comprises the metal strip diffusing structure of consistent, the discrete arrangement of multiple shape, the long side direction of described multiple metal strip diffusing structure is perpendicular to figuration field geometrical plane, and described multiple metal strip diffusing structure is parallel to each other on the discrete circumference being arranged in figuration electromagnetic field geometrical plane;
Step 4: the concrete arrangement of metal strip diffusing structure;
Described multiple metal strip diffusing structure is arranged in figuration field source periphery, its arrangement shape that surrounds is consistent with figuration field source shape, and the center distance of the rectangular diffusing structure of adjacent metal is consistent with the spacing of adjacent cells dot matrix in figuration field source, specific position intersects principle according to linear, a metal strip diffusing structure is placed at joining place, construct novel figuration field source thus, realize the optimization of figuration electromagnetic field.
2. the figuration field source building method auxiliary based on metallic cylinders according to claim 1, it is characterized in that, in the grid battle array described in step one, the spacing of adjacent discrete grid point is not more than half free space wavelength.
3. the figuration field source building method auxiliary based on metallic cylinders according to claim 2, it is characterized in that, the spacing of described adjacent discrete grid point is not less than the minimum resolution of antenna.
4. the figuration field source building method auxiliary based on metallic cylinders according to claim 1, it is characterized in that, the length of described metal strip diffusing structure is determined by following methods:
The equivalent electrical circuit of metal strip diffusing structure can regard the rlc circuit of series connection as, and its impedance can be expressed as:
Z = jωL + 1 jωC + R = j ( 2 πfL - 1 2 πfC ) + R
Wherein L, C, R, f represent the frequency of operation of the equivalent inductance value of metal strip diffusing structure, equivalent capacitance value, equivalent resistance and antenna respectively; When frequency of operation is f 0time, if when the length l changing metal strip diffusing structure makes it be in resonant condition, then now diffusing structure is real impedance, and the length of diffusing structure is resonance length l 00/ 2, wherein λ 0=c/f 0, c is the light velocity, and regulation scattered field phase place is now zero;
Under identical frequency of operation, when the length l of metal strip diffusing structure is greater than resonance length l 0, the phase place of scattered field is just; When the length l of diffusing structure is less than resonance length l 0, the phase place of scattered field is negative; If therefore basic field is just in contour edge phase place, then scattered field should be just negative, and corresponding diffusing structure length should be less than l 0; If basic field is negative in contour edge phase place, then scattered field just should be just, and corresponding diffusing structure length should be greater than l 0; After phase place in conjunction with the body equivalent theorem acquisition scattered field of scattered field, then can obtain the initial value of metal strip diffusing structure length, carry out figuration electromagnetic field sidelobe cancellation, boundary profile sharpening.
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CN110502792A (en) * 2019-07-23 2019-11-26 电子科技大学 A kind of method and device for realizing wireless power transfer based on metal grate cavity configuration
CN110502792B (en) * 2019-07-23 2022-05-03 电子科技大学 Method and device for realizing wireless energy transmission based on metal grid cavity structure

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