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On electromagnetic waves in complex linear media in nonsmooth domains
Author(s) -
Picard R.,
Freymond H.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2645
Subject(s) - mathematics , class (philosophy) , focus (optics) , electromagnetic radiation , anisotropy , harmonic , mathematical analysis , calculus (dental) , pure mathematics , computer science , physics , quantum mechanics , optics , artificial intelligence , medicine , dentistry
Electromagnetic wave propagation in more complex linear materials such as bi‐anisotropic media have come to a considerable attention within the last 15–20 years. We shall propose a general framework to approach a class of highly complex materials. Such problems have been extensively studied mostly in the time‐harmonic case. In this paper, we focus on the time‐dependent case. A well‐posedness result for a large class of media is obtained. We also analyze Drude–Born–Fedorov type media in nonsmooth domains of arbitrary topological genus within this framework. Copyright © 2012 John Wiley & Sons, Ltd.