The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body

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• 作者：Martin Costabel ^{martin.costabel@univ-rennes1.fr} ; Eric Darrigrand ^{eric.darrigrand-lacarrieu@univ-rennes1.fr} ; Hamdi Sakly ^{hamdi.sakly@univ-rennes1.fr}
• 刊名：Comptes Rendus Mathematique
• 出版年：2012
• 出版时间：February, 2012
• 年：2012
• 卷：350
• 期：3-4
• 页码：193-197
• 全文大小：152 K

文摘

We study the strongly singular volume integral operator that describes the scattering of time-harmonic electromagnetic waves. For the case of piecewise constant material coefficients and smooth interfaces, we determine the essential spectrum. We show that it is a finite set and that the operator is Fredholm of index zero in if and only if the relative permeability and permittivity are both different from 0 and ?.