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On the choice of basis functions to model surface electric current densities in computational electromagnetics
Author(s) -
Gürel Levent,
Sertel Kubilay,
Şendur Ibrahim KurŞat
Publication year - 1999
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1999rs900008
Subject(s) - basis (linear algebra) , current (fluid) , basis function , electromagnetics , charge density , surface (topology) , electromagnetic field , computational electromagnetics , distribution (mathematics) , integral equation , electric field , charge (physics) , electromagnetism , computer science , mathematics , statistical physics , physics , mathematical analysis , geometry , quantum mechanics , engineering physics , thermodynamics
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.