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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2005, Volume3

141 pages

Issue price - $178.00

The Leading-Order Term in the Asymptotic Expansion of the Scattering Amplitude of a Collection of Finite Number of Dielectric Inhomogeneities of Small Diameter

Habib Ammari
Centre de Mathematiques Appliquees, CNRS UMR 7641 & Ecole Polytechnique, 91128 Palaiseau Cedex, France

Darko Volkov
Mathematical Sciences Department, Worcester Polytechnic Institute, 100 Institute Road Worcester, MA 01609

ABSTRACT

We rigorously derive the leading-order term in the asymptotic expansion of the scattering amplitude for a collection of a finite number of dielectric inhomogeneities of small diameter. The asymptotic formula derived in this paper provides the basis for the numerical reconstruction of dielectric scatterers of small diameter, as demonstrated by Volkov.