A weak form of the conjugate gradient FFT method for plate problems

Author

Zwanborn, A.P.M. ; Van Den Berg, Peter M.

Author_Institution

Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands

Volume

39

Issue

2

fYear

1991

fDate

2/1/1991 12:00:00 AM

Firstpage

224

Lastpage

228

Abstract

A number of electromagnetic field problems for planar structures can be formulated in terms of a hypersingular integral equation, in which a grad-div operator acts on a vector potential. The vector potential is a convolution of the free-space Green´s function and some surface current density over the domain of interest. A weak form of this integral equation is obtained by testing it with subdomain basis functions defined over the plate domain only. As a next step, the vector potential is expanded in a sequence of subdomain basis functions and the grad-div operator is integrated analytically over the plate domain only. For the problem of electromagnetic scattering by a plate, the method shows excellent numerical performance. The numerical difficulties encountered in some previous conjugate gradient fast Fourier transform (CGFFT) methods have been eliminated

Keywords

conjugate gradient methods; electromagnetic wave scattering; fast Fourier transforms; integral equations; conjugate gradient FFT method; electromagnetic field problems; electromagnetic scattering; fast Fourier transform; free-space Green´s function; hypersingular integral equation; plate problems; subdomain basis functions; surface current density; vector potential; Convolution; Current density; Electromagnetic fields; Electromagnetic scattering; Fast Fourier transforms; Helium; Integral equations; Iterative methods; Strips; Testing;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.68186

Filename

68186