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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