A weak form of the conjugate gradient FFT method for two-dimensional TE scattering problems

Author

Zwamborn, Peter ; Van Den Berg, Peter M.

Author_Institution

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

Volume

39

Issue

6

fYear

1991

fDate

6/1/1991 12:00:00 AM

Firstpage

953

Lastpage

960

Abstract

The problem of two-dimensional scattering of a transversal electric polarized wave, by a dielectric object is formulated in terms of a hypersingular integral equation, in which a grad-div operator acts on a vector potential. The vector potential is a spatial convolution of the free-space Green´s function and the contrast source over the domain of interest. A weak form of the integral equation for the unknown electric flux density is obtained by testing it with rooftop functions. The vector potential is expanded in a sequence of the rooftop functions and the grad-div operator is integrated analytically over the dielectric object domain only. The method shows excellent numerical performance

Keywords

Green´s function methods; conjugate gradient methods; electromagnetic wave scattering; fast Fourier transforms; integral equations; 2D EM wave scattering; TE wave; conjugate gradient FFT method; dielectric object; electric flux density; free-space Green´s function; grad-div operator; hypersingular integral equation; rooftop functions; transversal electric polarized wave; two-dimensional TE scattering problems; vector potential; Convolution; Dielectric losses; Electromagnetic scattering; Fast Fourier transforms; Integral equations; Moment methods; Nonuniform electric fields; Polarization; Tellurium; Testing;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.81664

Filename

81664