A 3D spatial spectral integral equation method for electromagnetic scattering from finite objects in a layered medium

R.J. Dilz, Mark G.M.M. van Kraaij, M.C. van Beurden

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Abstract

The generalization of a two-dimensional spatial spectral volume integral equation to a three-dimensional spatial spectral integral equation formulation for electromagnetic scattering from dielectric objects in a stratified dielectric medium is explained. In the spectral domain, the Green function, contrast current density, and scattered electric field are represented on a complex integration manifold that evades the poles and branch cuts that are present in the Green function. In the spatial domain, the field-material interactions are reformulated by a normal-vector field approach, which obeys the Li factorization rules. Numerical evidence is shown that the computation time of this method scales as O(Nlog N) on the number of unknowns. The accuracy of the method for three numerical examples is compared to a finite element method reference.

Original languageEnglish
Article number206
Number of pages22
JournalOptical and Quantum Electronics
Volume50
Issue number5
DOIs
Publication statusPublished - 1 May 2018

Bibliographical note

Part of the following topical collections:•2017 - Optical Wave and Waveguide Theory and Numerical Modelling

Keywords

  • Electromagnetic scattering
  • Gabor frames
  • Integral equations
  • Spectral methods

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