Title :
How singular is singular? (EM fields computations)
Author :
Bondyopadhyay, P.K.
Author_Institution :
NASA Johnson Space Center, Houston, TX, USA
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1990. AP-S. Merging Technologies for the 90's. Digest.
Conference_Location :
Dallas, TX, USA
DOI :
10.1109/APS.1990.115374
