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Conference Papers Year : 2010

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

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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Dates and versions

inria-00528519 , version 1 (21-10-2010)

Identifiers

  • HAL Id : inria-00528519 , version 1

Cite

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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