Numerical investigation of basic Fourier series

Author(s):  
R. Wm. Gosper ◽  
Sergei K. Suslov
2019 ◽  
Vol 17 ◽  
pp. 177-187
Author(s):  
Sergey V. Tkachenko ◽  
Juergen B. Nitsch ◽  
Felix Middelstaedt ◽  
Ronald Rambousky ◽  
Martin Schaarschmidt ◽  
...  

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.


2016 ◽  
Vol 136 (3) ◽  
pp. 141-146 ◽  
Author(s):  
Akira Kawasaki ◽  
Kenichi Kubota ◽  
Ikkoh Funaki ◽  
Yoshihiro Okuno

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