Asymptotic modelling of Skin-effects in coaxial cables

Geoffrey Beck, Sébastien Imperiale () and Patrick Joly
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Geoffrey Beck: IMB-Institut de Mathématiques de Bordeaux
Sébastien Imperiale: Inria Saclay-Ile-de-France
Patrick Joly: POems, Inria Saclay-Ile-de-France, CNRS, ENSTA

Partial Differential Equations and Applications, 2020, vol. 1, issue 6, 1-34

Abstract: Abstract In this work we tackle the modeling of non-perfectly conducting thin coaxial cables. From the non-dimensionnalised 3D Maxwell’s equations, we derive, by asymptotic analysis with respect to the (small) transverse dimension of the cable, a simplified effective 1D model and an effective reconstruction procedure of the electric and magnetic fields. The derived effective model involves a fractional time derivatives that accounts for the so-called skin effects in highly conducting regions.

Keywords: Maxwell’s equation; Asymptotic analysis; Coaxial cables (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00043-x

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