Journal of Siberian Federal University. Mathematics & Physics / Wave Chaos in Underwater Acoustics

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
Authors
Makarov, Denis V.; Konkov, Leonid E.; Uleysky, Michael Yu.
Contact information
Makarov, Denis V. : V. I. Ilichev Pacific Oceanological Institute , Baltiyskaya Str. 43, Vladivostok, Russia , e-mail: ; Konkov, Leonid E. : V. I. Ilichev Pacific Oceanological Institute , Baltiyskaya Str. 43, Vladivostok, Russia; Uleysky, Michael Yu. : V. I. Ilichev Pacific Oceanological Institute , Baltiyskaya Str. 43, Vladivostok, Russia
Keywords
ray chaos; wave chaos; quantum chaos; long-range sound propagation; periodic orbits
Abstract

The problem of long-range sound propagation in an oceanic waveguide is considered. Even a weak range- dependent sound-speed perturbation is sufficient to cause chaotic dynamics in the ray limit. In the real ocean, an important role in the ray instability is played by small-scale depth oscillations of the sound- speed perturbation. Those small-scale oscillations should violate ray-wave correspondence. We carry out a comparative analysis of ray- and wave-based patterns in phase space and track how their discrepancies grow with decreasing the depth scale of a sound-speed perturbation. It is shown that the semiclassical theory can reproduce qualitative peculiarities of wave behavior even with small perturbations scales. A strong conflict occurs only with very low acoustic frequencies.

Pages
336-348
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1734