Asymptotic modelling of Skin-effects in coaxial cables - Archive ouverte HAL Access content directly
Journal Articles SN Partial Differential Equations and Applications Year : 2020

Asymptotic modelling of Skin-effects in coaxial cables

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Abstract

In this work we tackle the modeling of non-perfectly conducting thin coaxial cables. From the non-dimensionnalised 3D Maxwells 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.
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Dates and versions

hal-02512156 , version 1 (19-03-2020)
hal-02512156 , version 2 (05-10-2020)

Identifiers

  • HAL Id : hal-02512156 , version 2

Cite

Geoffrey Beck, Sébastien Imperiale, Patrick Joly. Asymptotic modelling of Skin-effects in coaxial cables. SN Partial Differential Equations and Applications, 2020. ⟨hal-02512156v2⟩
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