Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts

Date
2007-08
Advisor
Instructor
Source Title
2007 Computational Electromagnetics Workshop, CEM'07
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
59 - 64
Language
English
Type
Conference Paper
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Volume Title
Abstract

We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Three-dimensional objects are discretized with Rao-Wilton-Glisson functions and the scattering problems are formulated with surface integral equations. The resulting dense matrix equations are solved iteratively by employing the multilevel fast multipole algorithm. We compare the accuracy and efficiency of the results obtained by employing various integral equations for the formulation of the problem. If the problem size is large, we show that a combined formulation, namely, electric-magnetic current combined-field integral equation, provides faster iterative convergence compared to other formulations, when it is accelerated with an efficient block preconditioner. For low-contrast problems, we introduce various stabilization procedures in order to avoid the numerical breakdown encountered in the conventional surface formulations. © 2007 IEEE.

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Keywords
Aircraft, Electromagnetic wave scattering, Electromagnetism, Function evaluation, Iterative methods, Magnetism, Scattering, Solutions, Three dimensional, Breakdown (BD), Combined field integral equation (CFIE), Computational electromagnetics (CEM), Convergence (mathematics), Dense matrices, Dielectric objects, Electromagnetic scattering problems, In order, Magnetic currents, Multilevel fast multipole algorithm (MLFMA), preconditioner, Problem sizes, Rao-Wilton-Glisson (RWG) functions, Scattering problem (SP), Surface formulations, Surface integral equations, Three-dimensional (3-D) objects, Integral equations
Citation
Published Version (Please cite this version)