Abstract
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.
Highlights
The present paper is the continuation of the article [9]
We essentially extend and complete the results of [9] to the multiwires case
Denoting τ the corresponding unit tangent vector along Γj, we shall define n along Γj as the unit normal vector to Γj such that (τ, n) is a direct basis of the plane. All these assumptions and notation are summarized by figure 1
Summary
To cite this version: Geoffrey Beck, Sebastien Imperiale, Patrick Joly. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2014, pp.. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Manuscript submitted to AIMS’ Journals Volume X, Number 0X, XX 200X doi:10.3934/xx.xx.xx.xx pp.
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