How singular is singular? (EM fields computations)

Author

Bondyopadhyay, P.K.

Author_Institution

NASA Johnson Space Center, Houston, TX, USA

fYear

1990

fDate

7-11 May 1990

Firstpage

1396

Abstract

Numerical computations of electromagnetic fields right at resonance are examined in the framework of the EFIE (electric field integral equation) method. The test problem of a perfectly conducting spherical cavity with a small aperture, excited by a normally incident plane wave, is considered. It is seen that the resonant wavenumbers are transcendental numbers and therefore cannot be represented exactly with finite precision. The resonant impedance calculation, then, is a direct linear function of the precision in computation. The TM/sub 11/ mode impedance at resonance for various degrees of precision for the resonance wavenumber is shown. In addition, the accuracy of the matrix inversion routine regularly used in the moment method solution of the EFIE is examined. Exhaustive numerical computations are discussed.<>

Keywords

electric fields; electromagnetic field theory; integral equations; matrix algebra; numerical methods; physics computing; resonance; EFIE; EM fields; TM/sub 11/ mode impedance; accuracy; aperture; electric field integral equation; electromagnetic fields; incident plane wave; linear function; matrix inversion routine; numerical computations; numerical methods; perfectly conducting spherical cavity; resonance; resonant impedance calculation; resonant wavenumbers; singularity; transcendental numbers; Bonding; Computational electromagnetics; Electromagnetic fields; Impedance; Integral equations; Moment methods; NASA; Postal services; Resonance; Shape;

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.1990.115374

Filename

115374