CN104809282B - The figuration field source building method aided in based on metallic cylinderses - Google Patents
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- CN104809282B CN104809282B CN201510191688.0A CN201510191688A CN104809282B CN 104809282 B CN104809282 B CN 104809282B CN 201510191688 A CN201510191688 A CN 201510191688A CN 104809282 B CN104809282 B CN 104809282B
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Abstract
The invention provides a kind of figuration field source building method aided in based on metallic cylinderses, belong to the spatial and control technology field of electromagnetic wave.It is different from using simple spatial spreading Array Construction figuration field source, the present invention is in order to sharpen figuration field edge and reduce that secondary lobe outside region is excessive, too high problem, on the basis of the random cancellation principle of electromagnetic scattering ripple in based on complicated medium space, it is proposed that a kind of figuration field source building method in the overseas addition simple wire scattering object of spatial spreading array periphery or figuration place.This method can not only sharpen figuration geometrical boundary, and can effectively solve the problems, such as the overseas secondary lobe in figuration place, operation realizes that simply, conveniently the space field computation sum value optimization complicated without taking considerably simplify the construction difficulty of high-quality figuration field source.
Description
Technical field
The invention belongs to the spatial of electromagnetic wave and control field, and in particular to figuration field source in a kind of electromagnetic field figuration
Constitution optimization method.
Background technology
Electromagnetic wave allows people to pay close attention to always and studies electromagnetic wave propagation in the utilization in the fields such as communication, medical treatment, industry
Control technology, antenna and its array, Meta Materials, circuit devcie etc. are all a kind of approach that controls ripple is propagated, mainly by each
Plant the control of the direction of propagation, i.e. directional diagram of method controls ripple.And constantly expand with the application of electromagnetic wave, particularly exist
Application in the fields such as biology, medical science, chemistry, industry, the various control problem researchs of " wave field " start to obtain the pass of scholars
Note.The regeneration of any wave field is then one of difficult point.
The transmission controe Study on Problems of " wave field " is most of at present to be 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 using Meta Materials control electromagnetic wave field bending realize the stealthy of target;Document " F.Lemoult, N.M.Fink and G.Lerosey,Wave propagation control at the deep subwavelength
Scale in metamaterials, Nature Physics, 2012 " elaborate to realize electromagnetic wave field based on sub-wavelength structure
Several different directions transmission controe.There are many applications in terms of Meta Materials and sub-wavelength structure research on the scene, but by
Material and structure are limited to, the shortcomings of they have no flexibility and non-general applicability is not easy to for studying any field
Formation research.The researchers such as Sascha Spors have obtained generating on any sound field by the research to acoustics all the year round
Theory analysis, such as document " Sascha Spors, Rudolf Rabenstein, and Jens Ahrens, The Theory
Of Wave Field Synthesis Revisited, 2008 ".However, it can not still accomplish at a time to form specific
Area of space.According to uniqueness theorem, in occluding surface, source and its tangential magnetic field and electromagnetism by surface boundary,
The magnetic distribution in region can uniquely be determined.But realized according to theorem electromagnetic field figuration need it is substantial amounts of calculating and
Optimization, the field source pumping signal for obtaining surface boundary is to hinder one key factor of generation of research arbitrary shape electromagnetic wave field.
Therefore how the easy peripheral excitation waveform signal that obtains is used for generating the electromagnetic wave field of arbitrary shape i.e. to electromagnetic field figuration one
All it is directly the emphasis of research.
Patent " Zhao Deshuang, Zhu Min, Yang Changxing, the external electromagnetic field figuration generation side based on time reversal Electromagnetic Wave Propagation
Method, 2014 (application numbers:2014104401167) " according to the space-time synchronizing focus of time reversal, adaptive space electromagnetic transmission
Realize unique characteristic such as reproduction of signal, it is proposed that the method that the figuration of external electromagnetic field is realized based on time reversal.This side
Method is, by target field source transmission signal, the electromagnetic field on record S surfaces, time reversal (or frequency domain conjugation) to be carried out to it, you can
The S surface field source distribution of field distribution in achievable expection.The method need to only carry out once positive calculating or measure, without cumbersome
Calculate.This invention has wide range of applications, and can be applied to oncotherapy, biological effect research, Microwave breeding, microwave cutting, secrecy
The numerous areas such as communication, microwave heating, its Research Significance is great.But this invention is because carried out using TR space-times focusing
Superposition, have that secondary lobe is excessive, secondary lobe amplitude is too high, figuration profile passivation outside figuration focal zone so also existing
Deng deficiency, these deficiencies will limit application of the invention in some fields.
Therefore, secondary lobe, reduction secondary lobe amplitude how to be removed and sharpen figuration border be in the research of electromagnetic field figuration again
One difficult point, the figuration field source building method proposed by the present invention aided in based on metallic cylinderses can effectively be solved this and be asked
Topic.
The content of the invention
The invention provides a kind of figuration field source building method aided in based on metallic cylinderses, for solving to utilize the time
Inversion technique realizes the problem of secondary lobe is excessively too high with side lobe levels, figuration is passivated in electromagnetic field figuration.It is simple empty with using
Between discritized array to build figuration field source different, the present invention in order to sharpen figuration field edge and reduce secondary lobe outside region it is excessive,
Too high problem, on the basis of the random cancellation principle of electromagnetic scattering ripple in based on complicated medium space, it is proposed that one kind is in sky
Between discritized array periphery or figuration place it is overseas addition simple wire scattering object figuration field source building method.This method can not only
Figuration geometrical boundary is sharpened, and can effectively solve the problems, such as the overseas secondary lobe in figuration place, realization is operated simply, conveniently, without
Complicated space field computation sum value optimization is taken, the construction difficulty of high-quality figuration field source is considerably simplify.
The theoretical foundation of the present invention is based on the random cancellation principle of electromagnetic scattering ripple in complicated medium space.Scattering object meeting
To periphery electromagnetism wave disturbance, figuration secondary lobe is eliminated, then the position that scattering object is arranged should be on figuration field source periphery, by scattering
Body produces negative value corresponding with side lobe levels, and using principle of stacking, scattered field is superimposed with in-field, can produce suitable figuration
.Specific theory analysis is as follows:
If 1st area of scattering object periphery, is homogeneous medium space, dielectric constant is ε1It is 2nd area in (can be plural number), scattering object,
Dielectric constant is ε2(or plural number), then the field at space any point is in-field to be superimposed with scattered field.Assuming that electromagnetism
The figuration electromagnetic field initially produced in the figuration of field is Ei, introduce and dissipate after colour solid, the scattered field for dissipating colour solid is Es, then it is equivalent according to body
Theorem it is last to actual figuration electromagnetic field can be expressed as:
E=Ei+Es (1)
So scattering object field can just be defined as the actual field in the presence of scattering object and the difference of in-field, be expressed as follows:
Es=E-Ei (1)
According to body equivalent theorem, scattered field is body equivalent current in unlimited uniform ε1Radiation field in medium, can be represented
Into:
Wherein V is the spatial volume where scattering object,It is dyadic Green's function, JeIt is body equivalent current;And dyad Green
FunctionIt is relevant with scattering body position, it can be expressed as:
Body equivalent current is then expressed as follows:
Je=j ω (ε2-ε1)E2 (4)
Wherein E2Represent that site r takes electric field value when in scattering object, it can be seen that body equivalent current is related to scattering object.
When site r is taken in scattering object, according to body equivalent theorem E2=Ei+Es, utilize (2) and (4) that volume can be obtained
Divide equation:
Wherein C0=j ω (ε2-ε1);Solving integral equation can be in the hope of E2, then take back (4) formula and obtain body equivalent current, so
Afterwards, the scattered field for calculating any point in space can be distributed by body equivalent current according to formula (2).
Convolution (1), by rationally designing scattering, produces corresponding scattered field, can change the distribution of original, particularly
When the scattered field that scattering object is produced can produce an amplitude cancellation with original field on boundary profile position, then it can sharpen
Figuration boundary profile, produces high-quality figuration.Based on this principle, the present invention is proposed in spatial spreading array periphery
Or the figuration field source building method of the overseas addition simple wire scattering object in figuration place, to optimize figuration electromagnetic field.
The present invention is specifically adopted the following technical scheme that:
A kind of figuration field source building method aided in based on metallic cylinderses, is comprised the following steps:
Step one:Build basic figuration field source;
Expected figuration electromagnetic field geometrical plane is obtained into geometric figure, geometric figure grid dot matrix is discretized into, every
An omni-directional source antenna is disposed on one discrete grid point, figuration field source is thus constituted, this field source can guarantee that electromagnetic wave
Omni-directional is radiated;Wherein according to Rayleigh diffraction limit, the continuity to ensure figuration electromagnetic field, between adjacent discrete grid point
Away from needing no more than half free space wavelength;Meanwhile, in order to reduce the mutual coupling between adjacent source antenna, discrete point spacing should not
Cross near, therefore discrete point spacing preferably takes and is slightly less than half wavelength and not less than the minimum resolution of antenna;
Step 2:It is determined that the position of the metallic cylinderses for aiding in field source generation;
Understood according to the expression formula (2) of scattered field, metallic cylinderses are big to the perturbation action of its periphery electromagnetic field, long distance
The perturbation action left the theatre is small;Therefore, figuration profile, elimination figuration secondary lobe is sharpened to be accomplished by adding on figuration field source periphery
Metallic cylinderses carry out electromagnetic disturbance;
Therefore, metallic cylinderses are set on the circumference of figuration electromagnetic field geometrical plane, and the metallic cylinderses are surrounded
Region the geometrical plane profile of the figuration electromagnetic field is surrounded completely;
Step 3:It is determined that the concrete structure of the metallic cylinderses for aiding in producing field source;
The metallic cylinderses include that multiple shapes are consistent, discrete arrangement metal strip diffusing structure, the multiple gold
Belong to the long side direction of strip diffusing structure perpendicular to figuration geometrical plane, the multiple metal strip diffusing structure is parallel to each other
It is discrete to be arranged on the circumference of figuration electromagnetic field geometrical plane;
When on figuration field source periphery, addition scattering object carries out electromagnetic disturbance, while guaranteeing to eliminate secondary lobe, also need
Consider that scattering object can not hinder electromagnetic wave propagation, reduce the focusing effect of figuration electromagnetic field;Therefore, metallic cylinderses can not be
The bulk metal structure of the encirclement figuration field source of monoblock, and figuration field source periphery should be distributed in dot matrix;This also means that
Scattering object is small-scale structure;And for the length of metal strip diffusing structure, line range point can be entered using resonance equivalent principle
Analysis, the equivalent circuit of metal strip diffusing structure can regard the rlc circuit of series connection as, and its impedance can be expressed as:
Wherein L, C, R, f represent the equivalent inductance value, equivalent capacitance value, equivalent resistance of metal strip diffusing structure respectively
With the working frequency of antenna;When working frequency is f0When, if the length l for changing metal strip diffusing structure is at resonance shape
During state, then now diffusing structure is in real impedance, and the length of diffusing structure is resonance length l0=λ0/ 2, wherein λ0=c/f0, c is
The light velocity, the scattering field phase of regulation now is zero;Under identical working frequency, when the length l of metal strip diffusing structure is big
In resonance length l0, the phase of scattered field is just;When the length l of diffusing structure is less than resonance length l0, the phase of scattered field is
It is negative;So if basic field is that just then scattered field should be just negative, and corresponding diffusing structure length should in contour edge phase
It is less than l0;If basic field is negative in contour edge phase, scattered field just should be for just, corresponding diffusing structure length should
This is greater than l0;In conjunction with the above-mentioned body equivalent theorem on scattered field, the first of metal strip diffusing structure length can be obtained
Value, the appropriate length of diffusing structure can be obtained by further optimizing, and carry out figuration electromagnetic field sidelobe cancellation, boundary profile sharp
Change;
Step 4:The specific arrangement of metal strip diffusing structure;
In principle, according to basic figuration electromagnetic field profile and secondary lobe value size and its phase characteristic, combination is equivalent fixed
Reason, the scattering object of the certain structure of reasonable Arrangement can be with the optimization of optimized integration figuration electromagnetic field.Because directly accurate calculate scattering
Cumbersome, binding isotherm of the present invention and the practice of body phase related parameter, obtain a kind of metallic cylinderses for being used to aid in field source to produce
Arrange rule building method, concrete operations are:Metal strip diffusing structure is arranged in figuration field source periphery, and its shape of arranging is with assigning
Shape field source shape is consistent, and in the center spacing and figuration field source of adjacent metal strip diffusing structure between adjacent cells dot matrix
Away from consistent, the similar corner of specific position, just according to linearly intersecting principle, is that a metal is placed at flex point is long at joining
Bar diffusing structure, as depicted in figs. 1 and 2, the figuration field source thus constructed realize the optimization of figuration electromagnetic field.
Beneficial effects of the present invention:
The method that the present invention is provided need to only arrange metallic cylinderses aid in figuration field source construction, it is possible to eliminate figuration electricity
Magnetic field secondary lobe, sharpening figuration electromagnetic field border, are optimized basic figuration electromagnetic field;Meanwhile, the method have flexibility and
Universality, is applicable to the optimization of the figuration electromagnetic field of other shapes;The proposition of the present invention, is conducive to figuration Research of electromagnetic field
The increase of application.
Brief description of the drawings
Fig. 1 dissipates the dot matrix schematic diagram of the L-shaped figuration field source of colour solid auxiliary for the present invention based on metal.
Fig. 2 dissipates the dot matrix schematic diagram of the T-shaped figuration field source of colour solid auxiliary for the present invention based on metal.
Fig. 3 is the dot matrix schematic diagram of the existing basic L-shaped figuration field source only constructed by " shaped aerial battle array ".
Fig. 4 is the antenna model figure used in present example.
Fig. 5 is the floor map for the basic model that figuration electromagnetic field is produced.
Fig. 6 is the basic figuration field source of L-shaped with aiding in the electromagnetic field figuration of figuration field source model to emulate based on metallic cylinderses
Result schematic diagram.
Fig. 7 is the dot matrix schematic diagram of the basic T-shaped figuration field source only by " shaped aerial battle array " construction.
Fig. 8 is the basic figuration field source of T-shaped with aiding in the electromagnetic field figuration of figuration field source model to emulate based on metallic cylinderses
Result schematic diagram.
Embodiment
With reference to the accompanying drawings and examples, technical scheme is described in detail:
The present invention is obtained according to patent " the external electromagnetic field figuration production method based on time reversal Electromagnetic Wave Propagation "
Figuration electromagnetic field exist the not enough problem that secondary lobe is excessive, side lobe levels are too high, it is proposed that based on metallic cylinderses aid in figuration
Field source building method, control electromagnetism wave energy is more accurately focused in expected area of space, sharpens figuration electromagnetic field boundary profile.
The present invention will be proved with two case study on implementation, and one is the L-shaped figuration field source aided in based on metallic cylinderses;Another is to be based on
The T-shaped figuration field source of metallic cylinderses auxiliary.
Embodiment 1
The present embodiment provides the L-shaped figuration field source implementation aided in based on metallic cylinderses, first, according to technical scheme
Described in step one, the basic figuration field source of L-shaped is constructed.Specific method be by the geometric figure discretization of L-shaped, as shown in figure 3, its
The space D requirement of discrete sampling point is slightly less than half wavelength (60mm), so D=59mm of the present invention;Secondly, according to technical scheme
Step is scattered the arrangement of body with correlation theory, realizes that the figuration field source aided in based on metallic cylinderses is built:
(1) position of metallic cylinderses is determined on figuration field source periphery, as shown in figure 1, metallic cylinderses and figuration field source
Spacing dw=0.2 × D;
(2) metallic cylinderses itself spacing is determined, most of adjacent metals dissipate the spacing and figuration source array element between colour solid
Spacing determines scattering body position if being equally D, specific position such as corner using linearly intersecting principle, and its joining is scattering
Body settlement, as shown in figure 1, wherein dw1=72.8mm, dw2=47.2mm;
(3) structure of metallic cylinderses is determined;It can be seen from the value of basic figuration electromagnetic field secondary lobe is less than or equal to zero, metal
The length l of scattering object can not be less than resonance length l0, the specification of metallic cylinderses is 2mm × 2mm × 60mm in this example.
Element antenna of the inventive method employed in embodiment is the dipole antenna of omni-directional, this dipole model
As shown in Figure 4.Overall antenna length is L, and circular cone intercolumniation is d up and down, and its compartment is feed port, and the axis of great circle of circular cone is
D1, 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, " the time reversal antenna array " of circle is employed, in order to reduce its element antenna, is lowered
The complexity of system, one can formation closing space of addition enriches path, improves the focusing effect of time reversal technology, such as
Shown in Fig. 5.Therefore, in design, an appropriate antenna angular separation θ should be chosen, the L-shaped electricity required for can so realizing
Magnetic field figuration, can also simplify the complexity of system design to a certain extent.In embodiments of the present invention, " time reversal antenna
The angular separation θ being chosen for apart from R between 15 half-wavelengths, element antenna of battle array " range coordinate central point is 20 °." inverting antenna
Battle array " is made up of 18 element antennas altogether, surrounds L-shaped " figuration antenna array " metallic cylinderses totally 20.
According to above-mentioned requirements, it is modeled and imitates using electromagnetic field simulation software CST Microwave Studio 2012
Very, model one is designated as based on Fig. 1 models set up, model two is designated as based on Fig. 3 models set up.According to designed parameter, build
Two models are found, following identical operation then is carried out to two models:
First, the Gaussian modulation pulse with a width of 1.5-3.5GHz in CST, as pumping signal, is synchronously fed into L-shaped
Figuration field source each array element, allow its radiated electromagnetic wave signal.
Then, " time reversal antenna array " is utilized while receiving and gathering the electromagnetic wave signal y that figuration field source is radiated
(t).The electromagnetic wave signal received is overturn or mirror image processing again, time reversal letter y is producedtr(t)。
Then, the L-shaped figuration field source in model is only removed, and by obtained time reversal signal ytr(t) synchronous feed-in " when
Between inverting antenna array " enter row energization, return radiation and go back.By arrange probe know the maximum at the time of point of probe location with it is strong
Angle value, by the field monitor being arranged in original figuration field source region, come monitor in the region obtained by probe most
The electromagnetic field intensity size and its geometry of big moment point.
Simulation result is as shown in fig. 6, Fig. 6 (a) is the figuration result of the basic figuration field source of model two, and Fig. 6 (b) is model one
The figuration result of the figuration field source aided in based on scattering object.It can be evident that and, Fig. 6 (b) effect is better than Fig. 6 (a)
Effect.It is possible thereby to prove based on metallic cylinderses aid in figuration source obtained by figuration electromagnetic field electromagnetic wave energy more
Concentrate, solve under no metallic cylinderses aided case, the figuration electromagnetic field secondary lobe that figuration field source is produced is excessive, side lobe levels mistake
The weak point of high, figuration profile passivation.
In order to prove the general applicability and feasibility of the present invention, invention increases the T aided in based on metallic cylinderses
Shape figuration field source case study on implementation.
Embodiment 2
The present embodiment provides the T-shaped figuration field source implementation aided in based on metallic cylinderses, and based on metallic cylinderses
The implementation method of the L-shaped figuration field source of auxiliary is the same.The basic figuration field source of T-shaped is constructed first, as shown in fig. 7, using 13
Spatial spreading array element is constituted, and its array element spacing is also D (59mm);Secondly, the figuration field source aided in based on metallic cylinderses is constructed,
As shown in Fig. 2 at the basic figuration location of source dw=0.2 × D of distance, being dissipated according to technical solution of the present invention step arrangement metal
Beam;Wherein most scattering object spacing are D as figuration field source battle array spacing, and specific position is corner also according to straight line phase
Hand over the locus for scattering object, dw3=47.2mm at principle, its joining.Construct T-shaped shape and surround figuration field source
Metallic cylinderses are distributed, and have 27 scattering object array elements.Antenna used in this example and frequency range are as L-shaped figuration electromagnetic field, institute
With the structure and specification of scattering object also for 2mm × 2mm × 60mm.
The TR antenna arrays of this example also use circular arrangement, and its array element range coordinate central point is chosen for 15 apart from R
Angular separation θ between half-wavelength, element antenna is 20 °, totally 18 array-element antennas.
According to above-mentioned requirements, it is modeled and imitates using electromagnetic field simulation software CST Microwave Studio 2012
Very, model three is designated as based on Fig. 2 models set up, model four is designated as based on Fig. 7 models set up.Simulation process and L-shaped electromagnetism
Field figuration step is identical.Fig. 8 is the T-shaped figuration simulation result figure of two models.Fig. 8 (a) is the basic T-shaped figuration field source of model four
Figuration result, Fig. 8 (b) is the figuration result for the figuration field source that model three is aided in based on scattering object.It can significantly find out, scheme
The figuration result of 8 (b) is better than that figuration electromagnetic field secondary lobe obtained by Fig. 8 (a), model three is few, side lobe levels are low, T-shaped figuration electromagnetism
Field is clear-cut, and figuration electromagnetic field has obtained good optimization.
According to the above results, the reliability and validity of the inventive method are fully demonstrated, while also demonstrate that based on gold
Belong to general applicability and the flexibility of the figuration field source building method of scattering object.
Claims (4)
1. a kind of figuration field source building method aided in based on metallic cylinderses, specifically includes following steps:
Step one:Build basic figuration field source;
Expected figuration electromagnetic field geometrical plane is obtained into geometric figure, geometric figure grid dot matrix is discretized into, at each
An omni-directional source antenna is disposed on discrete grid point, thus formation base figuration field source;
Step 2:It is determined that the position of the metallic cylinderses for aiding in field source generation;
Metallic cylinderses are set on the circumference of figuration electromagnetic field geometrical plane, and the region that the metallic cylinderses are surrounded will
The geometrical plane profile of the figuration electromagnetic field is surrounded completely;
Step 3:It is determined that the concrete structure of the metallic cylinderses for aiding in producing field source;
The metallic cylinderses include that multiple shapes are consistent, discrete arrangement metal strip diffusing structure, and the multiple metal is long
The long side direction of bar diffusing structure is perpendicular to figuration geometrical plane, and the multiple metal strip diffusing structure is parallel to each other discrete
On the circumference for being arranged in figuration electromagnetic field geometrical plane;
Step 4:The specific arrangement of metal strip diffusing structure;
The multiple metal strip diffusing structure is arranged in figuration field source periphery, and its arrangement surrounds shape and figuration field source shape
Unanimously, and adjacent metal strip diffusing structure center spacing it is consistent with the spacing of adjacent cells dot matrix in figuration field source, it is special
Different position places a metal strip diffusing structure at joining, thus constructs figuration field source according to linear intersecting principle,
Realize the optimization of figuration electromagnetic field.
2. the figuration field source building method according to claim 1 aided in based on metallic cylinderses, it is characterised in that step
The spacing of adjacent discrete grid point is not more than half of free space wavelength in grid battle array described in one.
3. the figuration field source building method according to claim 2 aided in based on metallic cylinderses, it is characterised in that described
The spacing of adjacent discrete grid point is not less than the minimum resolution of antenna.
4. the figuration field source building method according to claim 1 aided in based on metallic cylinderses, it is characterised in that described
The length of metal strip diffusing structure is determined by following methods:
The equivalent circuit of metal strip diffusing structure can regard the rlc circuit of series connection as, and its impedance can be expressed as:
<mrow>
<mi>Z</mi>
<mo>=</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mi>L</mi>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<mi>j</mi>
<mi>&omega;</mi>
<mi>C</mi>
</mrow>
</mfrac>
<mo>+</mo>
<mi>R</mi>
<mo>=</mo>
<mi>j</mi>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mi>&pi;</mi>
<mi>f</mi>
<mi>L</mi>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
<mi>f</mi>
<mi>C</mi>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mi>R</mi>
</mrow>
Wherein L, C, R, f represent equivalent inductance value, equivalent capacitance value, equivalent resistance and the day of metal strip diffusing structure respectively
The working frequency of line;When working frequency is f0When, if the length l for changing metal strip diffusing structure is at resonant condition
When, then now diffusing structure is in real impedance, and the length of diffusing structure is resonance length l0=λ0/ 2, wherein λ0=c/f0, c is light
Speed, the scattering field phase of regulation now is zero;
Under identical working frequency, when the length l of metal strip diffusing structure is more than resonance length l0, the phase of scattered field is
Just;When the length l of diffusing structure is less than resonance length l0, the phase of scattered field is negative;So if basic field is in contour edge
Phase is just, then scattered field should be just negative, and corresponding diffusing structure length should be less than l0;If basic field is on profile side
Edge phase is negative, then scattered field just should be for just, corresponding diffusing structure length should be greater than l0;Body with reference to scattered field etc.
Imitate after the phase that theorem obtains scattered field, then can obtain the initial value of metal strip diffusing structure length, obtained by further optimizing
The appropriate length of metal strip diffusing structure is obtained, figuration electromagnetic field sidelobe cancellation, boundary profile is carried out and sharpens.
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