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Ray chaos and ray clustering in an ocean waveguide
D V Makarov1, M Yu Uleysky, S V Prants
1V. I. Il'ichev Pacific Oceanological Institute of the Russian Academy of Sciences, 690041 Vladivostok, Russia. makarov@poi.dvo.ru
Chaos (Woodbury, N.Y.)
|March 9, 2004
Summary
Investigating nonlinear ray dynamics in ocean sound channels reveals that stable coherent ray clusters can persist even with random sound-speed fluctuations caused by internal waves.
Area of Science:
- Ocean acoustics
- Wave propagation
- Nonlinear dynamics
Background:
- Underwater sound propagation is influenced by complex ocean environments.
- Internal waves cause range-dependent sound-speed perturbations, affecting acoustic signals.
Purpose of the Study:
- To analyze nonlinear ray dynamics in a waveguide with designed and perturbed sound-speed profiles.
- To investigate the impact of different perturbation models on ray propagation and chaos.
Main Methods:
- Hamiltonian formalism using action and angle variables.
- Analysis of two sound-channel models and three perturbation models (single-mode, randomlike, mixed).
- Utilizing Poincare maps and ray-escaping plots to study phase space structures.
Main Results:
- Derived analytical expressions for ray arrival times and timefronts in the unperturbed case.
- Demonstrated the onset of ray chaos due to overlapping nonlinear ray-medium resonances with single-mode perturbation.
- Identified stable zones within the phase space, allowing for coherent ray cluster formation.
- Showed that coherent ray clusters can survive randomlike perturbations.
Conclusions:
- Ray chaos arises from nonlinear resonances in perturbed ocean sound channels.
- Stable coherent ray clusters can form and persist even under complex, random sound-speed fluctuations.
- The study provides insights into acoustic signal behavior in dynamic deep ocean environments.