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      Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects

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      Author(s)
      Ergül, Özgür
      Gürel, Levent
      Date
      2008
      Source Title
      IEEE Transactions on Antennas and Propagation
      Print ISSN
      0018-926X
      Electronic ISSN
      1558-2221
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      56
      Issue
      3
      Pages
      799 - 805
      Language
      English
      Type
      Article
      Item Usage Stats
      240
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      220
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      Abstract
      The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot be calculated accurately if the contrast of the object is low. Therefore, we consider the stabilization of the formulations by extracting the nonradiating parts of the equivalent currents. We also investigate various types of stable formulations and show that accuracy can be improved systematically by eliminating the identity terms from the integral-equation kernels. Traditional and stable formulations are compared, not only for small scatterers but also for relatively large problems solved by employing the multilevel fast multipole algorithm. Stable and accurate solutions of dielectric contrasts as low as 104 are demonstrated on problems involving more than 250000 unknowns.
      Keywords
      Dielectrics
      Electromagnetic scattering
      Multilevel fast multipole algorithm (MLFMA)
      Surface integral equations
      Permalink
      http://hdl.handle.net/11693/23178
      Published Version (Please cite this version)
      http://doi.org/10.1109/TAP.2008.916971
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 84
      • Department of Electrical and Electronics Engineering 4011
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