Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects
Date
2008Source Title
IEEE Transactions on Antennas and Propagation
Print ISSN
0018-926X
Electronic ISSN
1558-2221
Publisher
Institute of Electrical and Electronics Engineers
Volume
56
Issue
3
Pages
799 - 805
Language
English
Type
ArticleItem Usage Stats
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Abstract
The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot be calculated accurately if the contrast of the object is low. Therefore, we consider the stabilization of the formulations by extracting the nonradiating parts of the equivalent currents. We also investigate various types of stable formulations and show that accuracy can be improved systematically by eliminating the identity terms from the integral-equation kernels. Traditional and stable formulations are compared, not only for small scatterers but also for relatively large problems solved by employing the multilevel fast multipole algorithm. Stable and accurate solutions of dielectric contrasts as low as 104 are demonstrated on problems involving more than 250000 unknowns.
Keywords
DielectricsElectromagnetic scattering
Multilevel fast multipole algorithm (MLFMA)
Surface integral equations