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Existence, uniqueness and analyticity properties for electromagnetic scattering in a two‐layered medium
Author(s) -
Cutzach PierreMarie,
Hazard Christophe
Publication year - 1998
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/(sici)1099-1476(19980325)21:5<433::aid-mma960>3.0.co;2-8
Subject(s) - uniqueness , mathematics , scattering , mathematical analysis , physics , optics
This paper is concerned with the solution of Maxwell equations in the modelling of the scattering of a time‐harmonic electromagnetic wave by an obstacle located in a two‐layered medium. The use of the Silver–Müller radiation condition in each layer is shown to provide a well‐posed scattering problem. The analysis is based on the study of the Green tensor, which allows to relate the radiation condition to an integral representation formula. The analyticity properties of the scattering problem with respect to the frequency are then investigated. This gives rise to a limiting absorption principle and furnishes a characterization of the resonances. © 1998 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.