Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm

Date
2009
Advisor
Instructor
Source Title
IEEE Transactions on Antennas and Propagation
Print ISSN
0018-926X
Electronic ISSN
1558-2221
Publisher
Institute of Electrical and Electronics Engineers
Volume
57
Issue
1
Pages
176 - 187
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with Rao-Wilton-Glisson functions, and the resulting matrix equations are solved iteratively by employing the multilevel fast multipole algorithm (MLFMA). For large problems, we show that a combined-field formulation, namely, the electric and magnetic current combined-field integral equation (JMCFIE), requires fewer iterations than other formulations within the context of MLFMA. In addition to its efficiency, JMCFIE is also more accurate than the normal formulations and becomes preferable, especially when the problems cannot be solved easily with the tangential formulations.

Course
Other identifiers
Book Title
Keywords
Dielectrics, Iterative solutions, Multilevel fast multipole algorithm (MLFMA), Surface integral equations
Citation
Published Version (Please cite this version)