Obstacles in acoustic waveguides becoming "invisible" at given frequencies

Anne-Sophie Bonnet-Ben Dhia (1) , Sergei Nazarov (2)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 IPME - Institute of Mechanical Engineering Problems [St. Petersburg]

We prove the existence of gently sloping perturbations of walls of an acoustic two-dimensional waveguide, for which several waves at given frequencies pass by the created obstacle without any distortion or with only a phase shift.

Domaines: Equations aux dérivées partielles [math.AP]; Modélisation et simulation; Analyse numérique [math.NA]; Physique mathématique [math-ph]; Optimisation et contrôle [math.OC]; Théorie spectrale [math.SP]

Anne-Sophie Bonnet-Ben Dhia, Sergei Nazarov. Obstacles in acoustic waveguides becoming "invisible" at given frequencies. Acoustical Physics / Akusticheskii zhurnal, 2013, 59(6), pp.633--639. ⟨10.1134/S1063771013050047⟩. ⟨hal-00937689⟩