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      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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      Author
      Ergül, Ö.
      Gürel, L.
      Date
      2009
      Journal Title
      IEEE Transactions on Antennas and Propagation
      ISSN
      0018-926X (print)
       
      1558-2221 (online)
       
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      57
      Issue
      1
      Pages
      176 - 187
      Language
      English
      Type
      Article
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      Please cite this item using this persistent URL
      http://hdl.handle.net/11693/22793
      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.
      Published as
      http://doi.org/10.1109/TAP.2008.2009665
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      • Computational Electromagnetics Research Center 45
      • Department of Electrical and Electronics Engineering 2963

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