Solution stability of iterative schemes utilizing the FFT

Author

Steyn, P. ; Davidson, D.B.

Author_Institution

Dept. of Electr. & Electron. Eng., Stellenbosch Univ., South Africa

fYear

1990

fDate

7-11 May 1990

Firstpage

614

Abstract

The problem of periodicity assumed by the fast Fourier transform (FFT) when applying spectral/FFT methods is investigated by comparison with a method-of-moments (MOM) formulation. A proposed solution has been implemented. The fictitious copies resulting from the application of the FFT are clearly seen to degrade the solution. The MOM solution does not suffer from this. The method proposed by D.T. Borup and O.P. Gandhi (1987) is clearly shown to rectify the problem. However, there is a computational cost as a result of the numerical integration required for the discrete kernel in the problem investigated.<>

Keywords

electromagnetic wave scattering; fast Fourier transforms; iterative methods; FFT; MOM solution; contrast source truncation technique; discrete kernel; fast Fourier transform; fictitious copies; iterative schemes; method-of-moments; numerical integration; periodicity; plane wave scattering; solution stability; Convolution; Discrete Fourier transforms; Fourier transforms; H infinity control; Kernel; Moment methods; Sampling methods; Scattering; Stability; Strips;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1990. AP-S. Merging Technologies for the 90's. Digest.

Conference_Location

Dallas, TX, USA

Type

conf

DOI

10.1109/APS.1990.115185

Filename

115185