Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides

Antoine Tonnoir (1, 2)

1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

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. To cite this article:

Domaines: Equations aux dérivées partielles [math.AP]

Antoine Tonnoir. Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides. Comptes Rendus. Mathématique, 2016, ⟨10.1016/j.crma.2015.12.018⟩. ⟨hal-01195869v2⟩