Ray stability in weakly range-dependent sound channels

Abstract

Ray stability is investigated in environments consisting of a range-independent background sound-speed profile on which a range-dependent perturbation, such as that produced by internal waves in deep ocean environments, is superimposed. Numerical results show that ray stability is strongly influenced by the background sound speed profile. Ray instability is shown to increase with increasing magnitude of alpha := I omega^{prime} / omega, where 2 pi / omega(I) is the range of a ray double loop and I is the ray action variable. The mechanism, shear-induced instability enhancement, by which alpha controls ray instability is described.

To appear in JASA

References in corpus (2)

• Ray dynamics in a long-range acoustic propagation experiment
• Ray dynamics in ocean acoustics

Cited by in corpus (4)

• Ray dynamics in a long-range acoustic propagation experiment
• Travel time stability in weakly range-dependent sound channels
• Passive tracer patchiness and particle trajectory stability in incompressible two-dimensional flows
• Phase space structure of nonautonomous one-degree-of-freedom Hamiltonian systems with nontrivial time dependence