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Titre : |
A limiting absorption principle for scattering problems with unbounded obstacles |
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Année : |
2001 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
A.-S. Bonnet-BenDhia, A. Tillequin |
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Résumé : |
A generalized mode matching method that applies to a wide class of scattering problems is developed in the time harmonic two-dimensional Helmholtz case. This method leads by variational means to an integro-differential formulation whose unknown is the trace of the field on an unbounded one-dimensional interface. The well-posedness is proved after a careful study of the rather original functional framework. Owing to a fundamental density result—based upon some properties of a singular integral operator similar to the Hilbert transform—the limiting absorption principle related to this original formulation is established. Finally, two other situations are emphasized. Copyright © 2001 John Wiley & Sons, Ltd. |
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Thèmes : |
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Référence : |
Mathematical Methods in the Applied Sciences - vol. 24(14) (pp 1089--1111 ) |
