Scarring in a driven system with wave chaos

Abstract

We consider acoustic wave propagation in a model of a deep ocean acoustic waveguide with a periodic range-dependence. Formally, the wave field is described by the Schrodinger equation with a time-dependent Hamiltonian. Using methods borrowed from the quantum chaos theory it is shown that in the driven system under consideration there exists a "scarring" effect similar to that observed in autonomous quantum systems.

5 pages, 7 figures

References in corpus (3)

• Ray dynamics in a long-range acoustic propagation experiment
• A Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities
• Eigenstates Ignoring Regular and Chaotic Phase-Space Structures