CN105977631B - A kind of composite antenna housing far-field pattern interval analysis - Google Patents

A kind of composite antenna housing far-field pattern interval analysis Download PDF

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CN105977631B
CN105977631B CN201610389644.3A CN201610389644A CN105977631B CN 105977631 B CN105977631 B CN 105977631B CN 201610389644 A CN201610389644 A CN 201610389644A CN 105977631 B CN105977631 B CN 105977631B
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inf
section
sup
boundary
down boundary
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CN105977631A (en
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李鹏
许万业
王从思
段宝岩
王伟
宋立伟
周金柱
李娜
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Xidian University
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Xidian University
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q1/00Details of, or arrangements associated with, antennas
    • H01Q1/42Housings not intimately mechanically associated with radiating elements, e.g. radome
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q25/00Antennas or antenna systems providing at least two radiating patterns

Abstract

The present invention relates to a kind of composite antenna housing far-field pattern interval analyses;It is characterized in that: including at least following steps: the first step determines the burst error of composite antenna housing material thickness;Second step introduces variable: X=cos (Vd), Y=sin (Vd), and the up-and-down boundary for calculating variable X and Y is respectively;Third step calculates transmission complex matrixSection up-and-down boundary;4th step, design factorSection up-and-down boundary;6th step calculates the coefficient F of individual uniti(θ, φ)=TMiEiThe section up-and-down boundary of (θ, φ);7th step calculates the section up-and-down boundary of whole unit coefficients;8th step calculates power radiation pattern section up-and-down boundary.Interval analysis is applied in the analysis of antenna house far-field pattern by the present invention, on the basis of given material thickness burst error, by once analyzing, corresponding far-field pattern section can be obtained, analysis time and computing resource is greatly saved.

Description

A kind of composite antenna housing far-field pattern interval analysis
Technical field
The present invention relates to a kind of composite antenna housing, especially a kind of composite antenna housing far-field pattern sections point Analysis.
Technical background:
The influence that antenna house be used to that internal antenna be protected to exempt from external environment load.Composite material is manufacture antenna house The Large Radar Antenna cover of common used material, especially ground and sea base.Composite material certainly exists material in processing preparation process Expect thickness error, such error will have a direct impact on the far field radiation characteristics of antenna house, such as minor level, gain loss, wave beam Width, pointing accuracy etc., these electrical properties can be extracted by far-field pattern.Traditional research material thickness is to cover electrical property The method that can be influenced is Statistics-Based Method, since the distribution of material thickness error has very strong randomness, usually It needs largely to be analyzed and calculated, very consuming time and computing resource.
Summary of the invention
The composite antenna housing that analysis time and computing resource can be greatlyd save the object of the present invention is to provide one kind is remote Field pattern interval analysis.
The object of the present invention is achieved like this, a kind of composite antenna housing far-field pattern interval analysis, feature It is: includes at least following steps:
The first step determines the burst error of composite antenna housing material thickness:
d∈[dinf;dsup], footmark inf and sup respectively indicate the up-and-down boundary in section, and d is that the material comprising error is practical Thickness, d0For ideal design thickness;
Second step introduces variable: X=cos (Vd), Y=sin (Vd), and the up-and-down boundary for calculating variable X and Y is respectively as follows:
Third step calculates transmission complex matrixSection up-and-down boundary:
Wherein
Ainf/sup=Cinf/sup=Xinf/sup (2)
In formula,ε=ε ' (1-jtan δ), γ are cover surface incidence angle, ε ', tan δ are respectively the dielectric constant and magnetic loss tangent of material, and λ is wavelength, and subscript H and V respectively indicate the water of electromagnetic wave Gentle perpendicular polarisation components, Im indicate to take the imaginary part of plural number;
4th step, design factor TH/VSection up-and-down boundary,
In formula,
Re(X2)sup=max ((Xinf)2,(Xsup)2),(Y2)sup=max ((Yinf)2,(Ysup)2)
Expression takes real;
5th step calculates transmission coefficient tMSection up-and-down boundary,
Wherein, δ=ηHV,η is insertion phase delay, in above formula, TH,TVSection on Lower boundary is obtained in third step, and remaining variables are not interval number, can directly be calculated.By above formula and TH,TVBoundary strip The tool box INTLAB numerical value for entering MATLAB is calculated on transmission coefficient real and imaginary parts section below
6th step calculates the coefficient F of individual uniti(θ, φ)=TMiEiThe section up-and-down boundary of (θ, φ), whereinI-th of unit after subscript i expression antenna house aperture field is discrete, Δ siIndicate the unit Area, E (θ, φ) is the field value of far field point, fs(ρ, φ) andIt is the amplitude and phase point of cover internal antenna aperture field S Cloth function, ρ, φ, θ are radius, azimuth and pitch angle under spherical coordinates, referring to fig. 2;
7th step calculates the section up-and-down boundary of whole unit coefficients:
N is the quantity of antenna house aperture field discrete unit;
8th step, calculating power radiation pattern section up-and-down boundary P (θ, φ ')=| F (θ, φ ') |2=| FRe|2+|FIm|2,
Its coboundary are as follows: Psup(θ, φ)=| (FRe)sup|2+|(FIm)sup|2,
WhenWhen, lower boundary Pinf(θ, φ)=| (FRe)inf|2
WhenWhen, lower boundary Pinf(θ, φ)=| (FIm)inf|2
WhenAndWhen, lower boundary Pinf(θ, φ)=0
In the case of remaining, lower boundary are as follows: Pinf(θ, φ)=| (FRe)inf|2+|(FIm)inf|2
The invention has the advantages that interval analysis is applied in the analysis of antenna house far-field pattern by the present invention, can give On the basis of determining material thickness burst error, by once analyzing, corresponding far-field pattern section can be obtained, greatly save Analysis time and computing resource.
Detailed description of the invention
Present invention detail is illustrated below with reference to embodiment attached drawing:
Fig. 1 is radome material thickness schematic diagram;
Fig. 2 is antenna house and internal antenna aperture field schematic diagram;
Fig. 3 is example antenna house and sandwich schematic diagram;
Fig. 4 is that there are the big logotypes in the position in thickness error section;
Fig. 5 is the far-field pattern in the thickness error section of different area;
Fig. 6 is the far-field pattern of different-thickness burst error.
Specific embodiment
As shown in Figure 1, a kind of composite antenna housing far-field pattern interval analysis, it is characterized in that: including at least as follows Step:
The first step determines the burst error of material thickness, d ∈ [dinf;dsup], footmark inf and sup respectively indicate section Up-and-down boundary, d are the material actual (real) thickness comprising error, d0For ideal design thickness;
Second step introduces variable: X=cos (Vd), Y=sin (Vd), and the up-and-down boundary for calculating variable X and Y is respectively as follows:
Third step calculates transmission complex matrixSection up-and-down boundaryWherein
Ainf/sup=Cinf/sup=Xinf/sup (2)
Wherein,ε=ε ' (1-jtan δ), γ are cover surface incidence angle, ε ', tan δ are respectively the dielectric constant and magnetic loss tangent of material, and λ is wavelength, and subscript H and V respectively indicate the water of electromagnetic wave Gentle perpendicular polarisation components, Im expression take the imaginary part of plural number, and j is imaginary part symbol;
4th step, design factorSection up-and-down boundary,
Wherein,
Re(X2)sup =max ((Xinf)2,(Xsup)2),(Y2)sup=max ((Yinf)2,(Ysup)2)
Expression takes real,
5th step calculates transmission coefficient tMSection up-and-down boundary,
Wherein, δ=ηHV,η is insertion phase delay, in above formula, TH,TVSection on Lower boundary is obtained in third step, and remaining variables are not interval number, can directly be calculated.By above formula and TH,TVBoundary strip Transmission coefficient reality is calculated in tool box INTLAB (version number 5.5) numerical value for entering business software MATLAB (version number R2009a) It is following in portion and imaginary part section
6th step calculates the coefficient F of individual unit referring to the following figurei(θ, φ)=TMiEiThe section up-and-down boundary of (θ, φ), WhereinI-th of unit after subscript i expression antenna house aperture field is discrete, Δ siIndicating should The area of unit, E (θ, φ) are the field value of far field point, fs(ρ, φ) andIt is the amplitude and phase of cover internal antenna aperture field S Bit distribution function, ρ, φ, the meaning of θ;
7th step calculates the section up-and-down boundary of whole unit coefficients:
N is the quantity of antenna house aperture field discrete unit;
8th step, calculating power radiation pattern section up-and-down boundary P (θ, φ ')=| F (θ, φ ') |2=| FRe|2+|FIm|2,
Its coboundary are as follows: Psup(θ, φ)=| (FRe)sup|2+|(FIm)sup|2,
WhenWhen, lower boundary Pinf(θ, φ)=| (FRe)inf|2
WhenWhen, lower boundary Pinf(θ, φ)=| (FIm)inf|2
WhenAndWhen, lower boundary Pinf(θ, φ)=0
In the case of remaining, lower boundary are as follows: Pinf(θ, φ)=| (FRe)inf|2+|(FIm)inf|2
Specific embodiment 1 illustrates:
By taking certain 40m diameter antenna house as an example, as shown in figure 3, internal antenna bore field diameter 26m, A sandwich, covering For glass-reinforced plastic material, thick 1mm, dielectric constant 4.2, magnetic loss is just cut to 0.026;Kernel is foam, thick 50mm, dielectric constant It is 1.15, magnetic loss is just cut to 0.0098, and connection scrap (bridge) part is glass reinforced plastic, thickness 30mm;Operating frequency of antenna is 5.7GHz, Discrete aperture field is 21919 triangular elements, and aperture field is equiphase distribution:
If setting thickness error occurs the antenna house amplitude distribution function on outer layer glass reinforced plastic covering are as follows:
Example one:
The size of thickness error intervening areas influences difference, referring to fig. 4.Definition is (x1=there are the position in thickness section Y1=5m), diameter d1=0m, 4m, 6m, 8m and 10m.Thickness error section is set to [dinf;dsup]=[- 0.02; 0.02]dskin.The directional diagram section that calculated result obtains referring to Fig. 5,.
Table 1 is Fig. 5 correlation unit for electrical property parameters
As it can be seen that the directional diagram of the big burst error of area contains the small burst error directional diagram of area.
Specific embodiment 2 illustrates:
Same area of error (d1=6m) and position (x1=y1=5m), the influence of different-thickness burst error are also different. Thickness error section is set to:
[dinf;dsup]=0, [0.98;1.02]mm,[0.95;1.05]mm,[0.92;1.08]mm,[0.88;1.12] mm, The directional diagram section that calculated result obtains is referring to Fig. 6, and related unit for electrical property parameters is referring to table 2.
Table 2 is the main unit for electrical property parameters of directional diagram in Fig. 6
As it can be seen that the directional diagram of biggish burst error contains lesser burst error directional diagram.

Claims (1)

1. a kind of composite antenna housing far-field pattern interval analysis, it is characterized in that: including at least following steps:
The first step determines the burst error of composite antenna housing material thickness:
d∈[dinf;dsup], footmark inf and sup respectively indicate the up-and-down boundary in section, and d is that the material comprising error is practical thick Degree, d0For ideal design thickness;
Second step introduces variable: X=cos (Vd), Y=sin (Vd), and the up-and-down boundary for calculating variable X and Y is respectively as follows:
Third step calculates transmission complex matrixSection up-and-down boundary:
Wherein
Ainf/sup=Cinf/sup=Xinf/sup (2)
In formula,γ is cover surface incidence angle, and ε ', tan δ divide Not Wei material dielectric constant and magnetic loss tangent, λ is wavelength, and subscript H and V respectively indicate the horizontal and vertical pole of electromagnetic wave Change component, Im indicates to take the imaginary part of plural number, and j is imaginary part symbol;
4th step, design factorSection up-and-down boundary,
Wherein,
Re expression takes multiple Several real parts,
5th step calculates transmission coefficient tMSection up-and-down boundary,
Wherein, δ=ηHV,η is insertion phase delay, in above formula, TH,TVSection on it is following Boundary is obtained in the 4th step, and remaining variables are not interval number, can directly be calculated;By above formula and TH,TVBoundary bring quotient into The tool box INTLAB of industry software part MATLAB, version number R2009a, the numerical value of version number 5.5 be calculated transmission coefficient real part and It is following on imaginary part section
6th step calculates the coefficient F of individual uniti(θ, φ)=TMiEiThe section up-and-down boundary of (θ, φ), whereinI-th of unit after subscript i expression antenna house aperture field is discrete, Δ siIndicate the unit Area, E (θ, φ) is the field value of far field point, fs(ρ, φ) andIt is the amplitude and phase point of cover internal antenna aperture field S Cloth function, ρ, φ, θ are radius, azimuth and pitch angle under spherical coordinates;
7th step calculates the section up-and-down boundary of whole unit coefficients:
N is the quantity of antenna house aperture field discrete unit;
8th step, calculating power radiation pattern section up-and-down boundary P (θ, φ ')=| F (θ, φ ') |2=| FRe|2+|FIm|2,
Its coboundary are as follows: Psup(θ, φ)=| (FRe)sup|2+|(FIm)sup|2,
WhenWhen, lower boundary Pinf(θ, φ)=| (FRe)inf|2
WhenWhen, lower boundary Pinf(θ, φ)=| (FIm)inf|2
WhenAndWhen, lower boundary Pinf(θ, φ)=0 in the case of remaining, lower boundary Are as follows: Pinf(θ, φ)=| (FRe)inf|2+(FIm)inf|2
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CN108984902B (en) * 2018-07-16 2020-11-03 西安电子科技大学 Rapid thickness design method for aircraft radome based on phase adjustment
CN113625062B (en) * 2021-07-29 2022-05-17 西安电子科技大学 Antenna housing electrical property estimation method based on Taylor expansion method
CN113721081B (en) * 2021-09-27 2024-03-15 国家无线电监测中心检测中心 Method and system for measuring optimal thickness of radome

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