Open AccessDirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides
Author(s) -
Antoine Tonnoir
Publication year - 2016
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2015.12.018
Subject(s) - diffraction , operator (biology) , anisotropy , orthogonality , completeness (order theory) , dirichlet distribution , waveguide , physics , mathematics , mathematical analysis , mathematical physics , optics , geometry , chemistry , biochemistry , repressor , transcription factor , gene , boundary value problem
International audienceThe 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. To cite this article
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