A novel semi-analytic method for the analysis of scattering by dielectric objects immersed in uniform media
type: Item
instance of: scholarly article
title: A novel semi-analytic method for the analysis of scattering by dielectric objects immersed in uniform media
zbMATH Open document ID: 1227.78010
author: Aleksey M. Serebrennikov
published in: Computer Physics Communications
publication date: 2011-05-31T00:00:00Z
review text: The author considers the time-harmonic electromagnetic scattering by bounded penetrable obstacles. In particular, a numerical method for the solution of the following problem is proposed: given the inhomogeneity in the medium (i.e., the electric permittivity, the magnetic permeability, and the conductivity), given the incident electromagnetic field, compute the scattered electromagnetic field. The well-known integral representation formulas for the internal electromagnetic field and the scattered electromagnetic field are used to obtain two integral equations for these electromagnetic fields. These equations are discretized by a collocation approach with a spectral basis for the representation of the solution. The discretization variables for the internal and the external fields are then coupled by a suitable integral equation on the boundary of the obstacle under consideration. The paper concludes with several numerical examples, where the stability of the proposed method is analysed with respect to discretization parameters.
reviewed by: P. Maponi
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 5901235
zbMATH Keywords: electromagnetic scattering
zbMATH Keywords: numerical solution of integral equations
MaRDI profile type: Publication
full work available at URL: j.cpc.2010.02.017
OpenAlex ID: W1993258612
cites work: Q3672341
cites work: An Analysis of Scattering Caused by Dielectric Bodies Using Semi-Analytic Methods
cites work: Q3331506
cites work: Q3258142
cites work: Q4125663
DOI: 10.1016/J.CPC.2010.02.017
description: scientific article; zbMATH DE number 5901235