CN105224762A - A kind of contracting based on electromagnetic parameter optimal design is than compound substance compound method - Google Patents

A kind of contracting based on electromagnetic parameter optimal design is than compound substance compound method Download PDF

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CN105224762A
CN105224762A CN201510679750.0A CN201510679750A CN105224762A CN 105224762 A CN105224762 A CN 105224762A CN 201510679750 A CN201510679750 A CN 201510679750A CN 105224762 A CN105224762 A CN 105224762A
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electromagnetic parameter
contracting
epsiv
optimal design
compound substance
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CN105224762B (en
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高伟
廖意
许勇刚
袁黎明
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Shanghai Radio Equipment Research Institute
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Shanghai Radio Equipment Research Institute
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Abstract

The invention discloses a kind of contracting based on electromagnetic parameter optimal design than compound substance compound method, the method comprises: step 1, calculates the reflection coefficient of original material; Step 2, carries out electromagnetic parameter testing to composite material: according to contracting than requiring, carry out the electromagnetic parameter testing of the composite material of different ratio; Step 3, sets up the electromagnetic parameter storehouse of the different ratio of composite material: electromagnetic parameter testing result be combined with equivalent medium theory, revises and obtains electromagnetic parameter storehouse; Step 4, electromagnetic parameter optimization: according to the reflection coefficient of original frequency range material, composite material is optimized, then obtain the mix proportion scheme of contracting than compound substance by electromagnetic parameter storehouse.Contracting based on electromagnetic parameter optimal design provided by the invention is than compound substance compound method, by electromagnetic parameter optimal design, acquisition meets scale-relation, the attainable composite material of engineering, meeting the accuracy requirement of contracting than test, is that testing scheme is compared in a kind of effective compound substance electromagnetism contracting.

Description

A kind of contracting based on electromagnetic parameter optimal design is than compound substance compound method
Technical field
The present invention relates to the compound substance compound method in a kind of radar target signature measuring technology, particularly, relate to a kind of contracting based on electromagnetic parameter optimal design than compound substance compound method.
Background technology
Along with a large amount of appearance of composite airplane, naval vessel and vehicle, armament systems, in the urgent need to obtaining the target property information needed for target detection, recognition and tracking, therefore obtain increasing attention for compound substance target property measuring technology.But the full-scale test of traditional target property expends huge in modelling, and be limited to the restriction of test site; Then bottleneck is there is in the contracting of compound substance electromagnetism than textural in contracting than test, the electromagnetic scattering data of all-metal target can only be obtained, comparatively large with real goal phase ratio error, urgently break through the contracting of compound substance electromagnetism than measuring technology, obtain more accurate target characteristic data.
The contracting of metal material electromagnetism is widely applied in the measurements than technology.Along with the widespread use of compound substance in advanced weaponry, only consider that metal material contracting is than the Radar Objective Characteristics that can not reflect target exactly.Compound substance electromagnetism scale reduction method is the key realizing the measurement of stealth radar target simulation, convenient its scattering properties of acquisition.Compound substance electromagnetism contracting ratio is due to its finite conductivity characteristic, and the contracting of metal material electromagnetism be not suitable for than theory.
From contracting than principle, compound substance electromagnetic parameter (plural form) is contracted than time, need keep electromagnetic parameter constant.That is: contracting is than afterwards, and contracting than material conductivity is the n of original material conductivity doubly (n contracts than coefficient, n >=1).In engineering, it is very difficult for keeping electromagnetic parameter constant, makes especially, increase the difficulty of preparation further when material has electricity damage simultaneously with when magnetic loss two kinds of characteristics.
In order to keep the accurate measurement of target scattering characteristics, need to maintain contracting more consistent with original material in certain angular range than material.Optimizing design scheme can be adopted to obtain the electromagnetic parameter of contracting than material.After obtaining the electromagnetic parameter of contracting than material, the configuration precision controlling electromagnetic parameter is the key of compound substance contracting than test.
Summary of the invention
The object of this invention is to provide a kind of for the material formulation method of compound substance electromagnetism contracting than test, in optimal design contracting than on the basis of material dielectric constant, obtain the electromagnetic parameter of contracting than material, the contracting carried out based on equivalent medium theory is prepared than compound substance, controls the configuration precision of electromagnetic parameter.
In order to achieve the above object, the invention provides a kind of contracting based on electromagnetic parameter optimal design than compound substance compound method, wherein, the method comprises: step 1, calculates the reflection coefficient of original material: go out the horizontal polarization of original material, the reflection coefficient of vertical polarization according to the electromagnetic parameters of original frequency range material; Step 2, carrying out electromagnetic parameter testing to composite material: according to contracting than requiring, carrying out the electromagnetic parameter testing of the composite material of some different ratio in contracting than frequency range; Step 3, sets up the electromagnetic parameter storehouse of the different ratio of composite material: electromagnetic parameter testing result be combined with equivalent medium theory, revises the electromagnetic parameter storehouse obtaining composite material different ratio; Step 4, electromagnetic parameter is optimized: according to the reflection coefficient of original frequency range material, composite material is optimized, to obtain in the wide angular region internal reflection characteristic result consistent with original frequency range material, then obtains the mix proportion scheme of contracting than compound substance by electromagnetic parameter storehouse.
The above-mentioned contracting based on electromagnetic parameter optimal design is than compound substance compound method, and wherein, described electromagnetic parameter comprises specific inductive capacity and magnetic permeability etc.
The above-mentioned contracting based on electromagnetic parameter optimal design is than compound substance compound method, and wherein, described horizontal polarization, the reflection coefficient of vertical polarization are according to following formulae discovery: the reflection coefficient of horizontal polarization R / / = ( A + B / Z N + 1 / / ) - Z 0 / / ( C + D / Z N + 1 / / ) ( A + B / Z N + 1 / / ) + Z 0 / / ( C + D / Z N + 1 / / ) ; The reflection coefficient of vertical polarization or the compound substance reflection coefficient of specific thicknesses also can be calculated by business software.
The above-mentioned contracting based on electromagnetic parameter optimal design than compound substance compound method, wherein, in described formula, ⊥, // represent vertical polarization and horizontal polarization respectively; A B C D For the transmission matrix of multilayered medium material, Z 0for the wave impedance of free space.
The above-mentioned contracting based on electromagnetic parameter optimal design is than compound substance compound method, wherein, described equivalent medium theory, obtains the working frequency range of test than coefficient according to contracting, under this frequency of operation, the formula for cylindrical particle compound system is: effective dielectric constant ϵ e f f = ϵ e + ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( ϵ e / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) 1 - ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( N i k / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) . This formula is mainly suitable for low-doped ratio, for the material formulation of highly doped ratio, often needs to estimate electromagnetic parameter by revising this formula accurately to be obtained.Existing modification method has multiple, and introduce modifying factor, test parameter matching or progressive alternate typically solve scheme.Preferably adopt the parameter iterative method that test result combines with theoretical simulation.Equivalent medium theory is often based on certain condition hypothesis, and this makes estimating of composite material electromagnetic parameter usually there is certain error, in order to the electromagnetic property of better matching different ratio material, is a kind of reasonably technical scheme by test data.
The above-mentioned contracting based on electromagnetic parameter optimal design than compound substance compound method, wherein, in described formula, ε ifor particle and disperse phase specific inductive capacity, ε efor matrix specific inductive capacity, θ is particle content, N ikrepresent the polarization performance of particle.
The above-mentioned contracting based on electromagnetic parameter optimal design is than compound substance compound method, and wherein, the polarization performance of described particle is by its 3 radial polarization factor N in space ikdetermine; Can be obtained by formula, N i k = a 1 a 2 a 3 2 ∫ 0 ∞ d s ( s + a k 2 ) ( s + a 1 2 ) ( s + a 2 2 ) ( s + a 3 2 ) .
The above-mentioned contracting based on electromagnetic parameter optimal design than compound substance compound method, wherein, in described formula, a 1, a 2, a 3for the length of particle 3 axis, and there is N i1+ N i2+ N i3=1.
The above-mentioned contracting based on electromagnetic parameter optimal design is than compound substance compound method, wherein, described is optimized composite material, be the thickness to composite material, the doping ratio of the number of plies and every layer material is optimized, obtain the doping ratio at the thickness of the wide angular region internal reflection characteristic composite material consistent with original frequency range material, the number of plies and every layer material, again according to its electromagnetic parameter, from electromagnetic parameter storehouse, obtain the mix proportion scheme contracted than compound substance.In addition, heterogeneous doping and Meta Materials etc. can as the supplementary meanss of optimal design.
Contracting based on electromagnetic parameter optimal design provided by the invention has the following advantages than compound substance compound method:
The method, by electromagnetic parameter optimal design, obtains and meets scale-relation, the attainable composite material of engineering, meets the accuracy requirement of contracting than test, is that testing scheme is compared in a kind of effective compound substance electromagnetism contracting.
Accompanying drawing explanation
Fig. 1 be the contracting based on electromagnetic parameter optimal design of the present invention than vertical polarization reflection coefficient in the embodiment 1 of compound substance compound method with angle of pitch change curve.
Fig. 2 be the contracting based on electromagnetic parameter optimal design of the present invention than horizontal polarization reflection coefficient in the embodiment 1 of compound substance compound method with angle of pitch change curve.
Fig. 3 based on the contracting of electromagnetic parameter optimal design than vertical polarization RCS in the embodiment 1 of compound substance compound method with angle of pitch change curve.
Fig. 4 based on the contracting of electromagnetic parameter optimal design than horizontal polarization RCS in the embodiment 1 of compound substance compound method with angle of pitch change curve.
Embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is further described.
Contracting based on electromagnetic parameter optimal design provided by the invention, than compound substance compound method, comprises:
Step 1, calculates the reflection coefficient of original material: go out the horizontal polarization of original material, the reflection coefficient of vertical polarization according to the electromagnetic parameters of original frequency range material.Electromagnetic parameter comprises specific inductive capacity and magnetic permeability etc.
The reflection coefficient of horizontal polarization, vertical polarization is according to following formulae discovery: the reflection coefficient of horizontal polarization R / / = ( A + B / Z N + 1 / / ) - Z 0 / / ( C + D / Z N + 1 / / ) ( A + B / Z N + 1 / / ) + Z 0 / / ( C + D / Z N + 1 / / ) ; The reflection coefficient of vertical polarization or the compound substance reflection coefficient of specific thicknesses also can be calculated by business software.
In formula, ⊥, // represent vertical polarization and horizontal polarization respectively; A B C D For the transmission matrix of multilayered medium material, Z 0for the wave impedance of free space.
Step 2, carrying out electromagnetic parameter testing to composite material: according to contracting than requiring, carrying out the electromagnetic parameter testing of the composite material of some different ratio in contracting than frequency range.
Step 3, sets up the electromagnetic parameter storehouse of the different ratio of composite material: electromagnetic parameter testing result be combined with equivalent medium theory, revises the electromagnetic parameter storehouse obtaining composite material different ratio.
According to contracting than coefficient obtain test working frequency range, under this frequency of operation, obtained by equivalent medium theory for the formula of cylindrical particle compound system be: effective dielectric constant ϵ e f f = ϵ e + ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( ϵ e / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) 1 - ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( N i k / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) .
In formula, ε ifor particle and disperse phase specific inductive capacity, ε efor matrix specific inductive capacity, θ is particle content, N ikrepresent the polarization performance of particle.
The polarization performance of particle is by its 3 radial polarization factor N in space ikdetermine; Can be obtained by formula, N i k = a 1 a 2 a 3 2 ∫ 0 ∞ d s ( s + a k 2 ) ( s + a 1 2 ) ( s + a 2 2 ) ( s + a 3 2 ) .
In formula, a 1, a 2, a 3for the length of particle 3 axis, and there is N i1+ N i2+ N i3=1.
This formula is mainly suitable for low-doped ratio, for the material formulation of highly doped ratio, often needs to estimate electromagnetic parameter by revising this formula accurately to be obtained.Existing modification method has multiple, and introduce modifying factor, test parameter matching or progressive alternate typically solve scheme.Preferably adopt the parameter iterative method that test result combines with theoretical simulation.Equivalent medium theory is often based on certain condition hypothesis, and this makes estimating of composite material electromagnetic parameter usually there is certain error, in order to the electromagnetic property of better matching different ratio material, is a kind of reasonably technical scheme by test data.
Step 4, electromagnetic parameter is optimized: according to the reflection coefficient of original frequency range material, composite material is optimized, to obtain in the wide angular region internal reflection characteristic result consistent with original frequency range material, then obtains the mix proportion scheme of contracting than compound substance by electromagnetic parameter storehouse.
Wherein, composite material is optimized, be the thickness to composite material, the doping ratio of the number of plies and every layer material is optimized, obtain the doping ratio at the thickness of the wide angular region internal reflection characteristic composite material consistent with original frequency range material, the number of plies and every layer material, again according to its electromagnetic parameter, from electromagnetic parameter storehouse, obtain the mix proportion scheme contracted than compound substance.In addition, heterogeneous doping and Meta Materials etc. can as the supplementary meanss of optimal design.
Below in conjunction with embodiment the present invention done and further describe.
Embodiment 1: for carbonyl iron dust and epoxy resin mixed preparing.
First the reflection coefficient of its horizontal polarization, vertical polarization is gone out according to the electromagnetic parameters of original frequency range compound substance, shown in Fig. 1 and Fig. 2 solid line.
Fig. 1 is metal substrate, and dielectric thickness is 1mm, and solid line is under original 4GHz frequency, specific inductive capacity 22.04+1.32i, magnetic permeability 3.76+2.52i; Dotted line is for contracting is than under 8GHz frequency, and the vertical polarization reflection coefficient of specific inductive capacity 11.6+0.69i, magnetic permeability 1.8+1.21i is with angle of pitch change curve.Fig. 2 is that the horizontal polarization reflection coefficient identical with Fig. 1 condition is with angle of pitch change curve.
Secondly, according to contracting than requiring, in contracting than frequency range, carry out the carbonyl iron dust of different ratio and the electromagnetic parameter testing of epoxy resin; Be in the scope of 0 ~ 100% at carbonyl iron dust dopant ratio, choose the carbonyl iron dust content of each increase by 5%, carry out electromagnetic parameter testing respectively.
Then according to equivalent medium theory and modification method thereof, in conjunction with test result, the electromagnetic parameter storehouse of different ratio is obtained; Electromagnetic parameter characteristic under carbonyl iron dust each frequency of dopant ratio different from epoxy resin is recorded in electromagnetic parameter storehouse.
Finally according to the reflection coefficient of original frequency range, continue to optimize the doping ratio of material thickness, number of layers and every layer material, draw the electromagnetic parameter of required contracting than frequency range.Directly mix proportion scheme is drawn according to electromagnetic parameter storehouse.Specifically be optimized for material thickness 1mm, number of layers 1 layer, the carbonyl iron dust of dopant ratio 30%, in contracting than under 8GHz frequency, specific inductive capacity 11.6+0.69i, magnetic permeability 1.8+1.21i.
As shown in Figure 3 and Figure 4, can find out that the electromagnetic parameter of design can meet the accuracy requirement of contracting than test.
Fig. 3 is metal substrate, solid line is under original 4GHz frequency, the material of 1m × 1m × 0.001m size, dotted line for contracting than under 8GHz frequency, the material of 0.5m × 0.5m × 0.001m size, respective vertical polarization RCS (Radar-CrossSection, Radar Cross Section) with angle of pitch change curve, contract and to revise than RCS.Fig. 4 is identical with Fig. 3 condition, and horizontal polarization RCS is with angle of pitch change curve.
Contracting based on electromagnetic parameter optimal design provided by the invention is than compound substance compound method, in optimal design contracting than on the basis of material dielectric constant, obtain the electromagnetic parameter of contracting than material, the contracting carried out based on equivalent medium theory is prepared than compound substance, controlling the configuration precision of electromagnetic parameter, is that testing scheme is compared in a kind of effective compound substance electromagnetism contracting.
Although content of the present invention has done detailed introduction by above preferred embodiment, will be appreciated that above-mentioned description should not be considered to limitation of the present invention.After those skilled in the art have read foregoing, for multiple amendment of the present invention and substitute will be all apparent.Therefore, protection scope of the present invention should be limited to the appended claims.

Claims (8)

1. one kind based on the contracting of electromagnetic parameter optimal design than compound substance compound method, it is characterized in that, the method comprises:
Step 1, calculates the reflection coefficient of original material: go out the horizontal polarization of original material, the reflection coefficient of vertical polarization according to the electromagnetic parameters of original frequency range material;
Step 2, carrying out electromagnetic parameter testing to composite material: according to contracting than requiring, carrying out the electromagnetic parameter testing of the composite material of some different ratio in contracting than frequency range;
Step 3, sets up the electromagnetic parameter storehouse of the different ratio of composite material: electromagnetic parameter testing result be combined with equivalent medium theory, revises the electromagnetic parameter storehouse obtaining composite material different ratio;
Step 4, electromagnetic parameter is optimized: according to the reflection coefficient of original frequency range material, composite material is optimized, to obtain in the wide angular region internal reflection characteristic result consistent with original frequency range material, then obtains the mix proportion scheme of contracting than compound substance by electromagnetic parameter storehouse.
2. the contracting based on electromagnetic parameter optimal design as claimed in claim 1 is than compound substance compound method, and it is characterized in that, described horizontal polarization, the reflection coefficient of vertical polarization are according to following formulae discovery:
The reflection coefficient of horizontal polarization R / / = ( A + B / Z N + 1 / / ) - Z 0 / / ( C + D / Z N + 1 / / ) ( A + B / Z N + 1 / / ) + Z 0 / / ( C + D / Z N + 1 / / ) ;
The reflection coefficient of vertical polarization R ⊥ = ( A + B / Z N + 1 ⊥ ) - Z 0 ⊥ ( C + D / Z N + 1 ⊥ ) ( A + B / Z N + 1 ⊥ ) + Z 0 ⊥ ( C + D / Z N + 1 ⊥ ) .
3. the contracting based on electromagnetic parameter optimal design as claimed in claim 2 is than compound substance compound method, it is characterized in that, in described formula, ⊥, // represent vertical polarization and horizontal polarization respectively; A B C D For the transmission matrix of multilayered medium material, Z 0for the wave impedance of free space.
4. the contracting based on electromagnetic parameter optimal design as claimed in claim 1 is than compound substance compound method, and it is characterized in that, described equivalent medium theory, the formula for cylindrical particle compound system is:
Effective dielectric constant ϵ e f f = ϵ e + ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( ϵ e / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) 1 - ( 1 / 3 ) θ ( ϵ i - ϵ e ) Σ k = 1 3 ( N i k / ( ϵ e + N i k ( ϵ i - ϵ e ) ) ) .
5. the contracting based on electromagnetic parameter optimal design as claimed in claim 4 is than compound substance compound method, it is characterized in that, in described formula, and ε ifor particle and disperse phase specific inductive capacity, ε efor matrix specific inductive capacity, θ is particle content, N ikrepresent the polarization performance of particle.
6. as claimed in claim 5 based on the contracting of electromagnetic parameter optimal design than compound substance compound method, it is characterized in that, the polarization performance of described particle is by its 3 radial polarization factor N in space ikdetermine;
Can be obtained by formula, N i k = a 1 a 2 a 3 2 ∫ 0 ∞ d s ( s + a k 2 ) ( s + a 1 2 ) ( s + a 2 2 ) ( s + a 3 2 ) .
7. the contracting based on electromagnetic parameter optimal design as claimed in claim 6 is than compound substance compound method, it is characterized in that, in described formula, and a 1, a 2, a 3for the length of particle 3 axis, and there is N i1+ N i2+ N i3=1.
8. the contracting based on electromagnetic parameter optimal design as claimed in claim 1 is than compound substance compound method, it is characterized in that, described is optimized composite material, be the thickness to composite material, the doping ratio of the number of plies and every layer material is optimized, obtain the doping ratio at the thickness of the wide angular region internal reflection characteristic composite material consistent with original frequency range material, the number of plies and every layer material, again according to its electromagnetic parameter, from electromagnetic parameter storehouse, obtain the mix proportion scheme contracted than compound substance.
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CN107968265A (en) * 2017-12-06 2018-04-27 上海无线电设备研究所 It is a kind of based on contracting than theoretical high-performance wave-absorbing body design method
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CN108090251A (en) * 2017-11-24 2018-05-29 上海无线电设备研究所 Design method is compared in a kind of wave transparent type composite material contracting
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CN106503311B (en) * 2016-10-09 2019-06-11 上海无线电设备研究所 Preparation method of the earth background electromagnetism contracting based on bio-based materials than material
CN106503311A (en) * 2016-10-09 2017-03-15 上海无线电设备研究所 Preparation method of the earth background electromagnetism contracting based on bio-based materials than material
CN106503377A (en) * 2016-10-28 2017-03-15 上海神添实业有限公司 A kind of construction method of carbon fibre composite effective dielectric constant model
CN106503377B (en) * 2016-10-28 2019-07-19 上海神添实业有限公司 A kind of construction method of carbon fibre composite effective dielectric constant model
CN106777627A (en) * 2016-12-02 2017-05-31 上海无线电设备研究所 A kind of honeycomb inhales the contracting of ripple plate than simulation material building method
CN107966617A (en) * 2017-10-18 2018-04-27 上海无线电设备研究所 A kind of Dynamic offing contracting is than Electromagnetic Scattering Characteristics measurement error modification method
CN108090251A (en) * 2017-11-24 2018-05-29 上海无线电设备研究所 Design method is compared in a kind of wave transparent type composite material contracting
CN107968265A (en) * 2017-12-06 2018-04-27 上海无线电设备研究所 It is a kind of based on contracting than theoretical high-performance wave-absorbing body design method
CN107968265B (en) * 2017-12-06 2020-12-22 上海无线电设备研究所 High-performance wave absorber design method based on scaling theory
CN108170950A (en) * 2017-12-27 2018-06-15 电子科技大学 Multilayer Frequency-Selective Surfaces absorbing material modeling optimization method based on neural network
CN108170950B (en) * 2017-12-27 2021-08-06 电子科技大学 Multilayer frequency selection surface wave-absorbing material modeling optimization method based on neural network
CN109614637A (en) * 2018-10-29 2019-04-12 上海无线电设备研究所 Design method is compared in a kind of contracting of nonmetal structure body electromagnetism
CN109614652A (en) * 2018-11-13 2019-04-12 上海无线电设备研究所 It is a kind of containing inhibit gap scattering coating contracting than target formation method

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