CN104657527B - The Analysis of Electromagnetic Scattering method of stealthy airbound target is applied in ultrahigh speed scumbling - Google Patents
The Analysis of Electromagnetic Scattering method of stealthy airbound target is applied in ultrahigh speed scumbling Download PDFInfo
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Abstract
The invention discloses a kind of Analysis of Electromagnetic Scattering method that stealthy airbound target is applied in ultrahigh speed scumbling.The nonuniformity of plasma around stealthy airbound target is applied for being wrapped in ultrahigh speed scumbling, employ volume integral equations method to be analyzed, the metal body of stealthy airbound target and its stealth material of coating apply analysis method using the scumbling based on Line Integral and be modeled analysis.Relative to All Media part using the conventional method of volume integral equations analysis, method in the present invention can save computing resource, simultaneously because the Green's function used in equation is the Green's function in vacuum, the quick multistage sub- technology of multilayer is used to further speed up solution so that the present invention applies the less calculating internal memory of stealthy airbound target scattering problems needs for solution ultrahigh speed scumbling and calculates the time.
Description
Technical field
It is particularly a kind of thin applied to ultrahigh speed the invention belongs to the quick computing technique field of electromagnetic characteristic of scattering
Apply the Analysis of Electromagnetic Scattering method of stealthy airbound target.
Background technology
Hypervelocity flight target is due to flying speed quickly（More than 3 Mach）And higher flying height
（More than 20Km）, thousands of degrees Celsius of Aerodynamic Heating can be produced with windage during its flight, make its surrounding air due to ionization and
Exist in ionic condition.When degree of ionization reaches to a certain degree, ionized gas has plasma properties.Now in airbound target
The cladding flow field of near surface is commonly known as plasma cladding flow field, reenters plasma or plasma valve jacket, now
Covered equivalent to airbound target by plasma（Normal rain supersonic speeds/hypersonic plasma Field Flow Numerical Simulation and its electricity
Magnetic characteristic research, National University of Defense technology's thesis for the doctorate, 2009）.Meanwhile in order to consider stealthy purpose, it will usually in aircraft
Surface applies stealth material, plays a part of reducing RCS and reaching stealthy purpose.
Because air is ionized inhomogeneities of the plasma to be formed with respect to dielectric constant, and aircraft surface applies
Absorbing material it is very thin, this all using the electromagnetic scattering problems of numerical method analysis airbound target is brought certain difficulty.
Find that there is larger equivalent relative dielectric constant positioned at the plasma valve jacket of aircraft tip portion by studying, and from
Daughter valve jacket other parts dielectric permittivity is close to air, and this results in uneven spy of the plasma with respect to dielectric parameter
Property.For uneven plasma valve jacket, volume integral equations method is used（Schaubert D,Wilton D and
Glisson A.A tetrahedral modeling method for electromagnetic scattering by
arbitrarily shaped inhomogeneous dielectric bodies.IEEE Transaction on
Antennas and Propagation,1984,32(1):77–85.）Analyzed；For the painting on metal body and its surface
Structure is applied, metal part is normally used as perfect electronic conductor（PEC）To handle, and easily quilt cover integral Equation Methods（SIE）
Come analysis and solution, wherein RWG basic functions（Rao M,Wilton D and Glisson A.Electromagnetic
scattering by surfaces of arbitrary shape.IEEE Transaction on Antennas and
Propagation,1982,30(3):409–418.）Because its flexibility is generally used as the base of expansion unknown current
Function, while using the characteristics of stealth material is thin is applied, the volume charge in stealthy coating material and body electric current are converted into gold
The faradic form of metal surface solves.But the electricity of stealthy airbound target is applied with above method analysis ultrahigh speed scumbling
Magnetic scattering problem is faced with the problem of unknown quantity is big, and thus bring needs largely to calculate time and internal memory in solution procedure.
The content of the invention
It is an object of the invention to provide a kind of Analysis of Electromagnetic Scattering method that stealthy airbound target is applied in ultrahigh speed scumbling, from
And realize and quickly obtain the Electromagnetic Scattering Characteristics parameter that stealthy airbound target is applied in ultrahigh speed scumbling.
The technical solution for realizing the object of the invention is：The Analysis of Electromagnetic Scattering of stealthy airbound target is applied in ultrahigh speed scumbling
Method, step are as follows：
The first step, establish the electromagnetism ginseng of the stealthy airbound target of high speed and plasma valve jacket model, mainly plasma valve jacket
The determination of exponential model, it is relevant with the flight environment of vehicle of high-speed flight target, such as flying height, flying speed and airbound target week
Enclose atmospheric pressure and temperature etc..
Second step, grid processing.Triangle subdivision is used for metal and its coated portion, for plasma valve jacket part
Using Tetrahedron subdivision.
3rd step, establish mixture Line Integral equation.According to the scattering properties of mixed structure, what the resultant field in target was equal to
In-field and all scattered field sums, incident electric fields encourage to be known, and uniform plane wave is usually used to as incident electric fields,
Scattering electric field can be represented with electric flux density and induced current density to be asked.
4th step, Green's function in free space is deployed based on addition theorem, the expression formula of combination Line Integral equation,
The polymerizing factor of far-field portion is provided, transfer factor embodies form with the configuration factor.
5th step, matrix equation solves and the calculating of electromagnetic scattering parameter.
The present invention compared with prior art, its remarkable advantage：1. unknown quantity is few.Because interior polarization charge and electricity are applied in scumbling
Stream is represented with the electric current on metal body, all not need extra unknown quantity to describe the electromagnetic parameter in coating.2. ask
It is fast to solve speed.As a result of dignity integration equation analysis hypervelocity flight target and it is wrapped in outside hypervelocity flight target
Non-homogeneous plasma, Green's function used is the Green's function of free space, facilitates the introducing of the quick multistage sub- technology of multilayer,
Accelerate Matrix Solving.
Brief description of the drawings
Stealthy airbound target electromagnetic model schematic diagram is applied in Fig. 1 ultrahigh speed scumblings.
Stealthy airbound target structural representation is applied in Fig. 2 ultrahigh speed scumblings.
The RCS figure of stealthy airbound target is applied in Fig. 3 ultrahigh speed scumblings.
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
The first step, establish hypervelocity flight target and plasma valve jacket model, the mainly electromagnetic parameter of plasma valve jacket
The determination of model, it is relevant with the flight environment of vehicle of hypervelocity flight target, such as flying height, flying speed and airbound target week
Enclose atmospheric pressure and temperature etc..By the flying height of airbound target, the angle of attack and flight Mach number parameter, with business software
ANSYS carries out pneumatic analog calculating to object module, obtains the electron number densitiy of target, temperature, pressure information data, thus obtains
To plasma characteristics frequency and collision frequency, then the equivalent relative dielectric constant of plasma valve jacket is obtained by the following formula,
Wherein ωpeFor plasma characteristics frequency, ω is wave frequency, and v is plasma collision frequency.
Second step, triangle subdivision is used for metal and its coated portion, for plasma valve jacket part using four sides
Body subdivision.
3rd step, according to the scattering properties of the high hypervelocity airbound target structure of parcel plasma valve jacket, using moment method basis
Theory, honorable integral equation is obtained, its matrix form equation is：
Wherein：
Wherein,WithBody and face test basic function are represented respectively, V represents areas of dielectric, and S represents metal surface,
VTDS represents thin dielectric region, S▽Represent thin-medium lower surface, SΔThin-medium upper surface is represented, ω is electromagnetism angular frequency, often
Number system numberIt is the Green's function of free space.
The right vector is as caused by plane wave in above formula, can be write as
EiIt is incident electric fields.
ZDDRepresent effect of the medium to medium, ZDMRepresent medium to metal and the effect of coating, ZMDAll represent metal and painting
Apply the effect to medium, ZMMRepresent the effect of metal to metal；
4th step, solution matrix equation, obtains current coefficient, and electromagnetic scattering is calculated by current coefficient further according to reciprocal theorem
Parameter, such as RCS, nearly far field Electric Field Distribution.
For the feasibility of verification method, the example of the electromagnetic scattering of hypervelocity flight target shown below is.This example is
The metal ball that one radius is 0.2 meter, it is coated with the film dielectric layer that a layer thickness is 0.02 meter, parameter εr=3-j0.006, μr=
2, wrap up the medium that a layer thickness is 0.08 meter, its relative dielectric constant ε again in the outside of film dielectric layerr=2.The present embodiment
In plasma spy's valve jacket replaced with uniform dielectric, it is convenient to be compared with existing business software.From the figure 3, it may be seen that with radar scattering
Exemplified by the parameter of section, the RCS that the inventive method calculates is consistent with business software FEKO result of calculation, checking
The validity of the inventive method.
Claims (1)
1. the Analysis of Electromagnetic Scattering method of stealthy airbound target is applied in a kind of ultrahigh speed scumbling, it is characterised in that step is as follows：
The first step, establish ultrahigh speed scumbling and apply stealthy airbound target plasma valve jacket model, according to the flying height of airbound target,
The angle of attack and flight Mach number parameter, pneumatic analog calculating is carried out to hypervelocity flight target, obtains electron number densitiy, the temperature of target
Degree and pressure information data, thus obtain plasma characteristics frequency and collision frequency, then be obtained by the following formula plasma
The equivalent relative dielectric constant of each locus of valve jacket,
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Wherein ωpeFor plasma characteristics frequency, ω is wave frequency, and v is plasma collision frequency；
Second step, according to the scattering properties of parcel plasma valve jacket hypervelocity flight object construction, using moment method basic theory,
Integral equation is obtained, its matrix form equation is：
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</mtd>
</mtr>
</mtable>
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</mrow>
Wherein,WithBody and face test basic function are represented respectively, and V represents areas of dielectric, and S represents metal surface, VTDSRepresent thin
Areas of dielectric,Represent thin-medium lower surface, SΔRepresent thin-medium upper surface, ω is electromagnetism angular frequency, constant coefficientIt is the Green's function of free space；
The right vector is as caused by plane wave in above formula, is write as
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</mrow>
</mrow>
EiIt is incident electric fields.
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| CN103279601A (en) * | 2013-05-17 | 2013-09-04 | 南京理工大学 | Method for simulating wide-band electromagnetic scattering property of conductor target |
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| CN103177193A (en) * | 2013-04-18 | 2013-06-26 | 南京理工大学 | Rotationally symmetric target electromagnetic scattering rapid calculation method of thin-medium-coated metal |
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