Mathematical modelling of multi conductor cables

Geoffrey Beck (1) , Sebastien Imperiale (2) , Patrick Joly (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine

This paper proposes a formal justification of simplified 1D models for the propagation of electromagnetic waves in thin non-homogeneous lossy conductor cables. Our approach consists in deriving these models from an asymptotic analysis of 3D Maxwell’s equations. In essence, we extend and complete previous results to the multi-wires case.

Mots clés: Telegrapher models; Maxwell equations; Asymptotic analysis.

Domaines: Equations aux dérivées partielles [math.AP]

Geoffrey Beck, Sebastien Imperiale, Patrick Joly. Mathematical modelling of multi conductor cables. Discrete and Continuous Dynamical Systems - Series S, 2014, pp.26. ⟨10.3934/dcdss.2015.8.521⟩. ⟨hal-01090481⟩