Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides
The purpose of this note is to construct a Dirichlet-to-Neumann operator for the diffraction problem in stratified anisotropic acoustic waveguides. The key idea consists in using an adapted change of coordinates that enables to recover the completeness and the orthogonality of the modes on “deformed...
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| Veröffentlicht in: | Comptes rendus. Mathématique 2016-04, Vol.354 (4), p.383-387 |
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| container_title | Comptes rendus. Mathématique |
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| creator | Tonnoir, Antoine |
| description | The purpose of this note is to construct a Dirichlet-to-Neumann operator for the diffraction problem in stratified anisotropic acoustic waveguides. The key idea consists in using an adapted change of coordinates that enables to recover the completeness and the orthogonality of the modes on “deformed” cross-sections of the waveguide.
Le but de cette note est de construire un opérateur Dirichlet-to-Neumann pour le problème de diffraction dans un guide d'ondes acoustique anisotrope stratifié. Le point clé consiste à utiliser un changement de coordonnées adapté qui permet de retrouver à la fois des propriétés de complétude et d'orthogonalité des modes sur une section « déformée » du guide d'ondes. |
| doi_str_mv | 10.1016/j.crma.2015.12.018 |
| format | Article |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Analysis of PDEs Mathematics |
| title | Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides |
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