Spectrum of the volume integral operator of electromagnetic scattering

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dc.creatorBudko, Neil V.
dc.creatorSamokhin, Alexander B.
dc.date2005-05-04
dc.date.accessioned2026-07-07T06:29:42Z
dc.date.available2026-07-07T06:29:42Z
dc.descriptionSpectrum of the volume integral operator of the three-dimensional electromagnetic scattering is analyzed. The operator has both continuous essential spectrum, which dominates at lower frequencies, and discrete eigenvalues, which spread out at higher ones. The explicit expression of the operator's symbol provides exact outline of the essential spectrum for any inhomogeneous anisotropic scatterer with Holder continuous constitutive parameters. Geometrical bounds on the location of discrete eigenvalues are derived for various physical scenarios. Numerical experiments demonstrate good agreement between the predicted spectrum of the operator and the eigenvalues of its discretized version.
dc.description18 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0505013
dc.identifierhttp://arxiv.org/abs/math-ph/0505013
dc.identifierSIAM J. Sci. Comput., Vol. 28, No. 2, pp. 682-700, 2006
dc.identifierdoi:10.1137/050630660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98130
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject78A25; 78A45
dc.titleSpectrum of the volume integral operator of electromagnetic scattering
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