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

Gabriel Caloz 1 Monique Dauge 1 Erwan Faou 1, 2 Victor Péron 3, 4 
2 IPSO - Invariant Preserving SOlvers
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique
4 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
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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Contributor : Victor Péron Connect in order to contact the contributor
Submitted on : Thursday, October 21, 2010 - 10:58:02 PM
Last modification on : Friday, May 20, 2022 - 9:04:52 AM
Long-term archiving on: : Saturday, January 22, 2011 - 2:59:53 AM



  • HAL Id : inria-00528519, version 1


Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. 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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