[Le spectre essentiel de lʼopérateur intégral volumique en diffraction électromagnétique par un corps homogène]
Nous étudions le spectre essentiel de lʼopérateur intégral volumique fortement singulier décrivant la diffraction dʼondes électromagnétiques. Dans le cas de coefficients constants par morceaux et pour une interface régulière nous démontrons quʼil est fini et que lʼopérateur intégral est Fredholm dʼindice zéro dans
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
Accepté le :
Publié le :
Martin Costabel 1 ; Eric Darrigrand 1 ; Hamdi Sakly 1
@article{CRMATH_2012__350_3-4_193_0,
author = {Martin Costabel and Eric Darrigrand and Hamdi Sakly},
title = {The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body},
journal = {Comptes Rendus. Math\'ematique},
pages = {193--197},
publisher = {Elsevier},
volume = {350},
number = {3-4},
year = {2012},
doi = {10.1016/j.crma.2012.01.017},
language = {en},
}
TY - JOUR AU - Martin Costabel AU - Eric Darrigrand AU - Hamdi Sakly TI - The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body JO - Comptes Rendus. Mathématique PY - 2012 SP - 193 EP - 197 VL - 350 IS - 3-4 PB - Elsevier DO - 10.1016/j.crma.2012.01.017 LA - en ID - CRMATH_2012__350_3-4_193_0 ER -
%0 Journal Article %A Martin Costabel %A Eric Darrigrand %A Hamdi Sakly %T The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body %J Comptes Rendus. Mathématique %D 2012 %P 193-197 %V 350 %N 3-4 %I Elsevier %R 10.1016/j.crma.2012.01.017 %G en %F CRMATH_2012__350_3-4_193_0
Martin Costabel; Eric Darrigrand; Hamdi Sakly. The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body. Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 193-197. doi : 10.1016/j.crma.2012.01.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.01.017/
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