Asymptotic Modeling of the Electromagnetic Scattering by Small Spheres Perfectly Conducting

Abstract : In this report, we use the method of matched asymptotic expansions to approximate the solution of the time-harmonic electromagnetic scattering problem by a small perfectly conducting sphere. This method consists in defining two local approximations 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 for the far-field expansion. We illustrate these results with numerical experiments making evident the performance of the asymptotic models.
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Submitted on : Thursday, November 22, 2018 - 9:49:08 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-01762625v2⟩

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