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      Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts

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      Author
      Ergül, Özgür
      Gürel, Levent
      Date
      2007-08
      Source Title
      2007 Computational Electromagnetics Workshop, CEM'07
      Publisher
      IEEE
      Pages
      59 - 64
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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      Abstract
      We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Three-dimensional objects are discretized with Rao-Wilton-Glisson functions and the scattering problems are formulated with surface integral equations. The resulting dense matrix equations are solved iteratively by employing the multilevel fast multipole algorithm. We compare the accuracy and efficiency of the results obtained by employing various integral equations for the formulation of the problem. If the problem size is large, we show that a combined formulation, namely, electric-magnetic current combined-field integral equation, provides faster iterative convergence compared to other formulations, when it is accelerated with an efficient block preconditioner. For low-contrast problems, we introduce various stabilization procedures in order to avoid the numerical breakdown encountered in the conventional surface formulations. © 2007 IEEE.
      Keywords
      Aircraft
      Electromagnetic wave scattering
      Electromagnetism
      Function evaluation
      Iterative methods
      Magnetism
      Scattering
      Solutions
      Three dimensional
      Breakdown (BD)
      Combined field integral equation (CFIE)
      Computational electromagnetics (CEM)
      Convergence (mathematics)
      Dense matrices
      Dielectric objects
      Electromagnetic scattering problems
      In order
      Magnetic currents
      Multilevel fast multipole algorithm (MLFMA)
      preconditioner
      Problem sizes
      Rao-Wilton-Glisson (RWG) functions
      Scattering problem (SP)
      Surface formulations
      Surface integral equations
      Three-dimensional (3-D) objects
      Integral equations
      Permalink
      http://hdl.handle.net/11693/27071
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/CEM.2007.4387652
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3524
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