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

Sébastien Imperiale 1, 2 Patrick Joly 3
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal.inria.fr/hal-00875811
Contributor : Sébastien Imperiale <>
Submitted on : Tuesday, October 22, 2013 - 5:41:31 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
Long-term archiving on : Friday, April 7, 2017 - 3:07:48 PM

File

coax_elsevier2.pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

712

Files downloads

1012