Electromagnetic scattering by small dielectric inhomogeneities.
type: Item
instance of: scholarly article
title: Electromagnetic scattering by small dielectric inhomogeneities.
zbMATH Open document ID: 1033.78006
DOI: 10.1016/S0021-7824(03)00033-3
author: Habib Ammari
author: Abdessatar Khelifi
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2003-11-19T00:00:00Z
review text: The authors study electromagnetic scattering in the practically important case that dielectric objects of small diameter and with different material characteristics are imbedded in a smooth medium. They derive high-order asymptotic expansions of the electric and magnetic fields which are valid uniformly in space. The effect of small dielectric inhomogeneities on the resonant frequencies is also considered, and asymptotic formulas for the scattering amplitudes are obtained. The paper mainly focusses on the TE and TM cases (leading to the scalar Helmholtz equation), but extends some of the results to the full Maxwell's equations, too.
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78M35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2006033
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: electromagnetic fields
zbMATH Keywords: resonant frequencies
zbMATH Keywords: scattering amplitude
zbMATH Keywords: small dielectric inhomogeneities
reviewed by: Johannes Elschner
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2006033