On electromagnetic waves in complex linear media in nonsmooth domains | Zendy

Picard R. | Zendy; Freymond H. | Zendy

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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.

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