Analytical Evaluation of the Quadruple Static Potential Integrals on Rectangular Domains to Solve 3-D Electromagnetic Problems

Author

López-Peña, S. ; Mosig, J.R.

Author_Institution

Lab. d´´Electromagn. et Acoust. (LEMA), Ecole Polytech. Federals de Lausanne (EPFL), Lausanne

Volume

45

Issue

3

fYear

2009

fDate

3/1/2009 12:00:00 AM

Firstpage

1320

Lastpage

1323

Abstract

In this communication, original analytical expressions for the quadruple static potential singular integrals on rectangular domains are presented. These integrals can appear when the method of moments is used to solve the mixed potential integral equation but also the electric and the magnetic static integral equations. The analytical expressions have been obtained for both source and test cells integrals when using 3-D rectangular meshes. The reported expressions can be used to solve an extensive range of electrostatic, magnetostatic and full-wave problems.

Keywords

computational electromagnetics; electric field integral equations; electrostatics; integral equations; magnetic field integral equations; magnetostatics; method of moments; 3-D rectangular meshes; electric static integral equations; electrostatics; magnetic static integral equations; magnetostatics; method of moments; mixed potential integral equation; quadruple static potential singular integrals; 3-D rectangular meshes; Analytical integration; Green functions; integral equations (IE); method of moments (MoM);

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2009.2012613

Filename

4787449