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International Journal for Multiscale Computational Engineering
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ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v3.i3.30
pages 285-296

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

SINOPSIS

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.


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