Singularity Expansion Method for thin wires and the Method of Modal Parameters

Here, we describe a technique to define the Singularity Expansion Method (SEM) poles for short-circuited thin-wire structures developed using the Method of Modal Parameters (MoMP). The MoMP method consists of in the expansion of the system of mixed-potential integral equations (MPIE) into the Fourie...

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Bibliographic Details
Published in:Advances in radio science 2019-09, Vol.17, p.177-187
Main Authors: Tkachenko, Sergey V., Nitsch, Juergen B., Middelstaedt, Felix, Rambousky, Ronald, Schaarschmidt, Martin, Vick, Ralf
Format: Article
Language:English
Subjects:
Applied research
Electric fields
Electric properties
Electromagnetic induction
Electromagnetism
Fourier analysis
Fourier series
Green's functions
Impedance (Electricity)
Inductance
Integral equations
Magnetic properties
Matrix methods
Parameters
Poles
Wire
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Summary:Here, we describe a technique to define the Singularity Expansion Method (SEM) poles for short-circuited thin-wire structures developed using the Method of Modal Parameters (MoMP). The MoMP method consists of in the expansion of the system of mixed-potential integral equations (MPIE) into the Fourier series, including the kernels containing Green's function. Corresponding equations for Fourier modes contain infinite matrices of p.u.l. inductance and capacitance, and the solution for current can be obtained using the infinity matrix of p.u.l. impedance. The SEM poles are given by the zeros of the determinant of this matrix. For the case of the symmetrical circular loop, this equation transforms to one well-know from the literature. Numerical investigation of solutions for the poles of the first layer has shown good agreement with previously obtained analytical and numerical results for different wire configurations.
ISSN:1684-9973
1684-9965
1684-9973
DOI:10.5194/ars-17-177-2019