Method of moments and the use of multipole expansion
(1991) In Journal Electromagnetic Waves and Applications 5(11). p.12371257 Abstract
 In electromagnetic boundary value problems integral equations involving the free space Green function for the Helmholtz equation often occur. Using the method of moments to numerically solve such an equation a matrix equation is obtained. The entries of the matrix are given as multidimensional integrals which in general have to be calculated numerically. This paper presents an efficient method to approximate the main Part of these integrals. The free space Green function is expanded in scalar spherical wave functions. The translation properties of these wave functions then imply that the matrix elements can be expressed as a series of multipole moments. The method is illustrated by an implementation in the static case and the computation... (More)
 In electromagnetic boundary value problems integral equations involving the free space Green function for the Helmholtz equation often occur. Using the method of moments to numerically solve such an equation a matrix equation is obtained. The entries of the matrix are given as multidimensional integrals which in general have to be calculated numerically. This paper presents an efficient method to approximate the main Part of these integrals. The free space Green function is expanded in scalar spherical wave functions. The translation properties of these wave functions then imply that the matrix elements can be expressed as a series of multipole moments. The method is illustrated by an implementation in the static case and the computation of the capacitance of a square plate. Basis functions with the correct edge and corner behaviour are used. The calculations of the multipole moments are done analytically. Numerical results using the pointmatching and Galerkin's method are presented. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/144396
 author
 Andersson, Tommy ^{LU}
 organization
 publishing date
 1991
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal Electromagnetic Waves and Applications
 volume
 5
 issue
 11
 pages
 1237  1257
 publisher
 VSP BV
 external identifiers

 scopus:84941532831
 ISSN
 15693937
 DOI
 10.1163/156939391X00815
 language
 English
 LU publication?
 yes
 id
 86ffaabf321149f1916cf035a72ca6e1 (old id 144396)
 date added to LUP
 20160401 12:10:06
 date last changed
 20200112 09:20:31
@article{86ffaabf321149f1916cf035a72ca6e1, abstract = {In electromagnetic boundary value problems integral equations involving the free space Green function for the Helmholtz equation often occur. Using the method of moments to numerically solve such an equation a matrix equation is obtained. The entries of the matrix are given as multidimensional integrals which in general have to be calculated numerically. This paper presents an efficient method to approximate the main Part of these integrals. The free space Green function is expanded in scalar spherical wave functions. The translation properties of these wave functions then imply that the matrix elements can be expressed as a series of multipole moments. The method is illustrated by an implementation in the static case and the computation of the capacitance of a square plate. Basis functions with the correct edge and corner behaviour are used. The calculations of the multipole moments are done analytically. Numerical results using the pointmatching and Galerkin's method are presented.}, author = {Andersson, Tommy}, issn = {15693937}, language = {eng}, number = {11}, pages = {12371257}, publisher = {VSP BV}, series = {Journal Electromagnetic Waves and Applications}, title = {Method of moments and the use of multipole expansion}, url = {http://dx.doi.org/10.1163/156939391X00815}, doi = {10.1163/156939391X00815}, volume = {5}, year = {1991}, }