| | |
Summary: Electromagnetic Scattering by Small Dielectric Inhomogeneities
H. Ammari and A. Kheli
Centre de Mathematiques Appliquees
CNRS UMR 7641 & Ecole Polytechnique
91128 Palaiseau Cedex, France
ammari@cmapx.polytechnique.fr
kheli @cmapx.polytechnique.fr
October 4, 2002
Abstract
In this work we carefully derive accurate asymptotic expansions of the electric and mag-
netic elds, the resonant frequencies, and the scattering amplitude in the practically interesting
situation, where a number of dielectric objects of small diameter and with di erent material
characteristics are imbedded in an otherwise smooth medium.
Key words. Helmholtz equation, Maxwell's equations, electromagnetic elds, resonant fre-
quencies, scattering amplitude, small dielectric inhomogeneities.
2000 AMS subject classi cations. 35B40.
Contents
1 Introduction 2
2 Asymptotic expansions of the solutions 5
2.1 Problem formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
|
