Irregular Scattering of Acoustic Rays by Vortices

V. Pagneux; A. Maurel

doi:10.1103/PhysRevLett.86.1199

Irregular Scattering of Acoustic Rays by Vortices

V. Pagneux and A. Maurel

Phys. Rev. Lett. 86, 1199 – Published 12 February 2001

Abstract

The scattering of high-frequency sound wave, under geometrical acoustic approximation, by three stationary vortices in two dimensions is investigated. For a sufficiently high Mach number of the vortex flow, the scattering of sound rays becomes irregular, displaying a new example of chaotic scattering for a time-reversal breaking system. The fractal dimension, as well as the unstable and stable manifolds of the scattering dynamics, is presented.

Received 17 August 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.1199

Authors & Affiliations

V. Pagneux¹ and A. Maurel²

¹Laboratoire d'Acoustique de l'Université du Maine, UMR CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France
²Laboratoire Ondes et Acoustique, UMR CNRS 7587, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75005 Paris, France