title: Ray dynamics in long-range deep ocean sound propagation.
abstract: Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (timelike) variable. Topics discussed include integrable and nonintegrable ray systems, action-angle variables, nonlinear resonances and the KAM theorem, ray chaos, Lyapunov exponents, predictability, nondegeneracy violation, ray intensity statistics, semiclassical breakdown, wave chaos, and the connection between ray chaos and mode coupling. The Hamiltonian structure of the ray equations plays an important role in all of these topics.
authors.affiliation: Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida 33149, USA.
authors.forename: Michael G
authors.initials: MG
authors.lastname: Brown
authors.forename: John A
authors.initials: JA
authors.lastname: Colosi
authors.forename: Steven
authors.initials: S
authors.lastname: Tomsovic
authors.forename: Anatoly L
authors.initials: AL
authors.lastname: Virovlyansky
authors.forename: Michael A
authors.initials: MA
authors.lastname: Wolfson
authors.forename: George M
authors.initials: GM
authors.lastname: Zaslavsky
mesh_terms: D000162:Acoustics; D008962:Models, Theoretical; D009792:Oceans and Seas; D013016:Sound