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Full Description
A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the mid-1990s when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean. The phenomenon of ray chaos and its manifestation at a finite wavelength — wave chaos — have been investigated by combining methods from the theory of wave propagation and the theory of dynamical and quantum chaos.This book is the first monograph summarizing results obtained in this field. Emphasis is made on the exploration of ray and modal structures of the wave field in an idealized environmental model with periodic range dependence and in a more realistic model with sound speed fluctuations induced by random internal waves. The book is intended for acousticians investigating the long-range sound transmission through the fluctuating ocean and also for researchers studying waveguide propagation in other media. It will be of major interest to scientists working in the field of dynamical and quantum chaos.
Contents
Ray and Wave Propagation; Optical-Mechanical Analogy; Underwater Sound Channel Experiments in the Ocean; Ray Chaos; Chaotic Ray Diffusion; Chaos and Hydroacoustical Tomography; Wave Chaos; Mode Coupling under Chaotic Conditions; Ray-Wave Correspondence under Chaotic Conditions; Chaotic Phenomena in Random Environment; Modal Structure in a Waveguide with Random Inhomogeneities; Wave Beams under Conditions of Wave Chaos; Glossary of Some Concepts and Notations in Hamiltonian Chaos Theory.
