Asymptotic Modeling of the Electromagnetic Scattering by Small Spheres Perfectly Conducting

Abstract : In this paper, we develop a method of matched asymptotic expansions for solving the time-harmonic electromagnetic scattering problem by a small sphere perfectly conducting. This method consists in defining an approximate solution using multi-scale expansions over far and near fields, related in a matching area. We make explicit the asymptotics up to the second order of approximation for the near-field expansion and up to the fifth order of approximation for the far-field expansion. We illustrate the results with numerical experiments which make evident the performance of the asymptotic models. The reference solution is an analytical solution computed thanks to Montjoie code.
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Submitted on : Tuesday, April 10, 2018 - 11:54:10 AM
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Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic Modeling of the Electromagnetic Scattering by Small Spheres Perfectly Conducting. [Research Report] RR-9169, Université de Pau et des Pays de l'Adour; Inria Bordeaux Sud-Ouest; LMAP UMR CNRS 5142. 2018. ⟨hal-01762625v1⟩

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