A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization.

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Abstract

We solve the 2D transverse-electrically polarized domain-integral equation in a layered background medium by applying a Gabor frame as a projection method. This algorithm employs both a spatial and a spectral discretization of the electric field and the contrast current in the direction of the layer extent. In the spectral domain we use a representation on the complex plane that avoids the poles and branchcuts found in the Green function. Because of the special choice of the complex-plane path in the spectral domain and because of the choice to use a Gabor frame to represent functions on this path, fast algorithms based on FFTs are available to transform to and from the spectral domain, yielding an O(Nlog⁡N) scaling in computation time.

Original languageEnglish
Pages (from-to)528-542
Number of pages15
JournalJournal of Computational Physics
Volume345
Issue number1
Early online date22 May 2017
DOIs
Publication statusPublished - 15 Sep 2017

Keywords

  • Electromagnetic scattering
  • Gabor frame
  • Green function
  • Integral equation

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