Abstract
Abstract. 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.
Highlights
Thin-wire transmission lines play an important role in EMC
We describe the application of another analytical method, the method of modal parameters (Nitsch and Tkachenko, 2005, 2007) for the investigation of the Singularity Expansion Method (SEM) poles
The SEM poles of the short-circuited thin wire with arbitrary geometry above a perfect conducting ground were investigated by the method of modal parameters
Summary
Thin-wire transmission lines play an important role in EMC. Thin-wire transmission lines facilitate the transmission of the desired signals between electronic devices of different kinds. The Singularity Expansion Method (SEM) (see pioneer paper Baum, 1971, and reviews of results in books Baum et al, 2012; Tesche et al, 1997) represents the scattering object as a set of oscillators, in which complex frequencies are poles of the response function, which do not depend on the type of excitation of the system. The application of SEM to thin-wire systems (antennas and transmission lines) has several specific features that simplify the investigation of the SEM expansion, especially when the analytic form of the response function is known.
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