Year: 2018
Author: Ruming Zhang, Bo Zhang
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 1 : pp. 110–127
Abstract
This paper is concerned with the problem of scattering of time-harmonic electromagnetic waves from penetrable diffraction gratings in the 2D polarization case. We propose a new, weakly singular, integral equation formulation for the scattering problem which is proved to be uniquely solvable. A main feature of the new integral equation formulation is that it avoids the computation of the normal derivative of double-layer potentials which is difficult and time consuming. A fast numerical algorithm is also developed for the scattering problem, based on the Nyström method for the new integral equation. Numerical examples are also shown to illustrate the applicability of the new integral equation formulation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1612-m2016-0501
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 1 : pp. 110–127
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Scattering problem Transmission condition Periodic interface Diffraction gratings Boundary integral equations Helmholtz equation.