Premium
Overcoming the onset of ill conditioning at interior resonances by using generalized formulations
Author(s) -
Leviatan Yehuda,
Baharav Zachi
Publication year - 1995
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650090117
Subject(s) - conductor , surface (topology) , cylinder , scattering , current (fluid) , perfect conductor , physics , electrical conductor , mathematical analysis , mathematics , optics , geometry , quantum mechanics , thermodynamics
Generalized formulations, in which instead of solving for the actual surface current one solves for an equivalent fictitious current flowing on a mathematical surface enclosed inside the body, have been used for analysis of many scattering problems. This article explains how inaccuracies occurring at frequencies corresponding to interior resonances of the conducting surface can be avoided by using generalized formulations. A numerical study of TM scattering by a circular cylinder at such resonant frequencies is carried out. The advantage gained by using generalized formulations instead of standard surface formulations in eliminating internal resonances is demonstrated. It is also shown that even if the shape of the interior mathematical surface, when covered by a perfect conductor, forms a resonant cavity, no problem is encountered. © 1995 John Wiley & Sons, Inc.