Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity

Victor Péron 1, 2 Gabriel Caloz 3 Monique Dauge 3 Erwan Faou 3, 4
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
4 IPSO - Invariant Preserving SOlvers
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique
Abstract : We study a three-dimensional model for the skin effect in electromagnetism. The 3-D case of the Maxwell equations in harmonic regime on a domain composed of a dielectric and of a highly conducting material is considered. We derive an asymptotic expansion with respect to a small parameter related to high conductivity. This expansion is theoretically justified at any order. The asymptotic expansion and numerical simulations in axisymmetric geometry exhibit the influence of the geometry of the interface on the skin effect.
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Conference papers
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Submitted on : Thursday, October 21, 2010 - 10:58:02 PM
Last modification on : Monday, September 9, 2019 - 9:06:02 AM
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Victor Péron, Gabriel Caloz, Monique Dauge, Erwan Faou. Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity. WONAPDE 2010 Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2010, Concepcion, Chile. ⟨inria-00528519⟩

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