Open AccessMathematical modelling of multi conductor cables
Author(s) -
Geoffrey Beck,
Sébastien Imperiale,
Patrick Joly
Publication year - 2015
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2015.8.521
Subject(s) - conductor , lossy compression , homogeneous , electrical conductor , maxwell's equations , computer science , electromagnetic field , mathematical analysis , calculus (dental) , mathematics , physics , geometry , engineering , electrical engineering , statistical physics , artificial intelligence , medicine , dentistry , quantum mechanics
International audienceThis 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