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On the evaluation of impedance matrix terms in MoM: emphasis on capacitive couplings

Johannesson, Peter LU (2011) In Technical Report LUTEDX/(TEAT-7209)/1-9/(2011) TEAT-7209.
Abstract
A method based on power series expansions of the surface charge

density, with Legendre polynomials as basis functions, is introduced

in this paper. With a Galerkin method, applied to the method of

moment, the resulting integrals for the elements of the impedance

matrix are four dimensional. The corresponding integrands are

products of the static Green function and Legendre polynomials. The

introduction of the Legendre polynomials leads to a reduction of the

number of non-zero elements in the impedance matrix with a fast

computational method as a consequence. The method is compared to

standard MoM in which piecewise linear basis functions are used.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7209)/1-9/(2011)
volume
TEAT-7209
pages
9 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
a8a02963-30ee-4db2-8abc-c3a7f317a96a (old id 1968957)
date added to LUP
2011-05-27 09:35:58
date last changed
2016-04-16 11:59:58
@techreport{a8a02963-30ee-4db2-8abc-c3a7f317a96a,
  abstract     = {A method based on power series expansions of the surface charge<br/><br>
density, with Legendre polynomials as basis functions, is introduced<br/><br>
in this paper. With a Galerkin method, applied to the method of<br/><br>
moment, the resulting integrals for the elements of the impedance<br/><br>
matrix are four dimensional. The corresponding integrands are<br/><br>
products of the static Green function and Legendre polynomials. The<br/><br>
introduction of the Legendre polynomials leads to a reduction of the<br/><br>
number of non-zero elements in the impedance matrix with a fast<br/><br>
computational method as a consequence. The method is compared to<br/><br>
standard MoM in which piecewise linear basis functions are used.},
  author       = {Johannesson, Peter},
  institution  = {[Publisher information missing]},
  language     = {eng},
  pages        = {9},
  series       = {Technical Report LUTEDX/(TEAT-7209)/1-9/(2011)},
  title        = {On the evaluation of impedance matrix terms in MoM: emphasis on capacitive couplings},
  volume       = {TEAT-7209},
  year         = {2011},
}