Fast and accurate solutions of electromagnetics problems involving lossy dielectric objects with the multilevel fast multipole algorithm

O. Ergul

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  • 9 Citations

Abstract

Fast and accurate solutions of electromagnetic scattering problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCFIE), and solved iteratively using the multilevel fast multipole algorithm (MLFMA). Iterative solutions and accuracy of the results are investigated in detail for diverse geometries, frequencies, and conductivity values. It is demonstrated that CTF solutions are significantly accelerated as the conductivity increases to moderate values and CTF becomes comparable to JMCFIE in terms of efficiency. Considering also the superior accuracy of this formulation, CTF becomes suitable for fast and accurate analysis of scattering problems involving lossy dielectric objects.
LanguageEnglish
Pages423-432
Number of pages10
JournalEngineering Analysis with Boundary Elements
Volume36
Issue number3
DOIs
StatePublished - 2012

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Scattering
Formulation
Integral equations
Scattering Problems
Conductivity
Geometry
Electromagnetic Scattering
Iterative Solution
Object
Integral Equations

Keywords

  • arbitrary shape
  • radiation
  • conducting bodies
  • surface integral equations
  • iterative solutions
  • multilevel fast multipole algorithm
  • permittivity
  • dielectrics

Cite this

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abstract = "Fast and accurate solutions of electromagnetic scattering problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCFIE), and solved iteratively using the multilevel fast multipole algorithm (MLFMA). Iterative solutions and accuracy of the results are investigated in detail for diverse geometries, frequencies, and conductivity values. It is demonstrated that CTF solutions are significantly accelerated as the conductivity increases to moderate values and CTF becomes comparable to JMCFIE in terms of efficiency. Considering also the superior accuracy of this formulation, CTF becomes suitable for fast and accurate analysis of scattering problems involving lossy dielectric objects.",
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KW - conducting bodies

KW - surface integral equations

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KW - permittivity

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