Comparison of Integral-Equation Formulations for the Fast and Accurate Solution of Scattering Problems Involving Dielectric Objects with the Multilevel Fast Multipole Algorithm

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Erguel O., Guerel L.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.57, no.1, pp.176-187, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1109/tap.2008.2009665
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.176-187
  • Keywords: Dielectrics, iterative solutions, multilevel fast multipole algorithm (MLFMA), surface integral equations, CONFORMING BASIS FUNCTIONS, ELECTROMAGNETIC SCATTERING, MAGNETIC-FIELD, DISCRETIZATION
  • Middle East Technical University Affiliated: No


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.