Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Wave Motion Year : 2020

Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations

Modélisation par sources ponctuelles multipolaires équivalentes de petites sphères pour le calcul rapide et précis de la diffraction des ondes électromagnétiques

Abstract

In this paper, we develop reduced models to approximate the solution of the electromagnetic scattering problem in an unbounded domain which contains a small perfectly conducting sphere. Our approach is based on the method of matched asymptotic expansions. This method consists in defining an approximate solution using multi-scale expansions over outer and inner fields related in a matching area. We make explicit the asymptotics up to the second order of approximation for the inner expansion and up to the fifth order for the outer expansion. We validate the results with numerical experiments which illustrate theoretical orders of convergence for the asymptotic models requiring negligible computational cost.
Fichier principal
Vignette du fichier
Preprint_Hal.pdf (993.82 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02139201 , version 1 (24-05-2019)
hal-02139201 , version 2 (04-09-2019)

Identifiers

Cite

Justine Labat, Victor Péron, Sébastien Tordeux. Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations. Wave Motion, 2020, ⟨10.1016/j.wavemoti.2019.102409⟩. ⟨hal-02139201v2⟩
280 View
245 Download

Altmetric

Share

Gmail Facebook X LinkedIn More