Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section

Sébastien Imperiale 1 Patrick Joly 2
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In this work, we focus on the time-domain simulation of the propagation of electromagnetic waves in non-homogeneous lossy coaxial cables. The full 3D Maxwell equations, that described the propagation of current and elec- tric potential in such cables, are classically not tackled directly, but instead a 1D scalar model known as the telegraphist's model is used. We aim at justifying, by means of asymptotic analysis, a time-domain "homogenized" telegraphist's model. This model, which includes a non-local in time op- erator, is obtained via asymptotic analysis, for a lossy coaxial cable whose cross-section is not homogeneous.
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Article dans une revue
Applied Numerical Mathematics, Elsevier, 2013, <10.1016/j.apnum.2013.03.011>
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https://hal.inria.fr/hal-00875811
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Sébastien Imperiale, Patrick Joly. Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Applied Numerical Mathematics, Elsevier, 2013, <10.1016/j.apnum.2013.03.011>. <hal-00875811>

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