Electric and magnetic combined source integral equations for electromagnetic transmission problems

Various combined source integral equation (CSIE) formulations are developed for the analysis of electromagnetic scattering by three-dimensional arbitrarily shaped homogeneous penetrable objects. The considered CSIE formulations include the classical “electric” CSIE proposed by Mautz and Harrington i...

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Veröffentlicht in:Engineering analysis with boundary elements 2013-01, Vol.37 (1), p.68-73
Hauptverfasser: Ylä-Oijala, Pasi, Kiminki, Sami P., Järvenpää, Seppo
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Kiminki, Sami P.
Järvenpää, Seppo
description Various combined source integral equation (CSIE) formulations are developed for the analysis of electromagnetic scattering by three-dimensional arbitrarily shaped homogeneous penetrable objects. The considered CSIE formulations include the classical “electric” CSIE proposed by Mautz and Harrington in 1979, and its dual “magnetic” CSIE as well as mixed “electric–magnetic” and “magnetic–electric” CSIE formulations. Novel discretization schemes by utilizing the primary (Rao–Wilton–Glisson, RWG) and the dual (Buffa–Christiansen, BC) functions are applied to convert the integral equations into matrix equations. These schemes avoid the numerical problems that would appear if the CSIE formulations were discretized with the conventional Galerkin method using the RWG functions only.
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subjects Boundary element method
Combined source integral equation
Discretization
Dual function
Electromagnetic transmission
Electromagnetics
Field formulation
Galerkin methods
Integral equations
Mathematical analysis
Mathematical models
Source formulation
Three dimensional
Transmission problem
title Electric and magnetic combined source integral equations for electromagnetic transmission problems
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