On the choice of basis functions to model surface electric current densities in computational electromagnetics

Date
1999-11
Advisor
Instructor
Source Title
Radio Science
Print ISSN
0048-6604
Electronic ISSN
Publisher
Wiley-Blackwell Publishing, Inc.
Volume
34
Issue
6
Pages
1373 - 1387
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

Basis functions that are used to model surface electric current densities in the electric field integral equations of computational electromagnetics are analyzed with respect to how well they model the charge distribution, in addition to the current. This analysis is carried out with the help of the topological properties of open and closed surfaces meshed into networks of triangles and quadrangles. The need for current basis functions to properly model the charge distribution is demonstrated by several examples. In some of these examples, the basis functions seem to be perfectly legitimate when only the current distribution is considered, but they fail to deliver a correct solution of the electromagnetic problem, since they are not capable of properly modeling the charge distribution on some surfaces. Although the idea of proper modeling of the charge distribution by the current basis functions is easy to accept and can even be claimed well known, the contrary uses encountered in the literature have been the motivation behind the investigation reported in this paper.

Course
Other identifiers
Book Title
Keywords
Computational methods, Current density, Functions, Integral equations, Mathematical models, Computational electromagnetics, Current basis functions, Electromagnetic field theory
Citation
Published Version (Please cite this version)