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Communication Dans Un Congrès Année : 2019

Effective models for non-perfectly conducting thin coaxial cables

Résumé

Continuing past work on the modelling of coax-ial cables, we investigate the question of the modeling of non-perfectly conducting thin coax-ial cables. Starting from 3D Maxwell's equations , we derive, by asymptotic analysis with respect to the (small) transverse dimension of the cable, a simplified effective 1D model. This model involves a fractional time derivatives that accounts for the so-called skin effects in highly conducting regions.
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Dates et versions

hal-02414849 , version 1 (16-12-2019)

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  • HAL Id : hal-02414849 , version 1

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Geoffrey Beck, Sebastien Imperiale, Patrick Joly. Effective models for non-perfectly conducting thin coaxial cables. Waves 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria. ⟨hal-02414849⟩
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