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Related Experiment Videos

Ray dynamics in long-range deep ocean sound propagation.

Michael G Brown1, John A Colosi, Steven Tomsovic

  • 1Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida 33149, USA.

The Journal of the Acoustical Society of America
|May 27, 2003
PubMed
Summary

This review explores ray dynamics in deep ocean acoustics, simplifying long-range sound propagation using a one-way formulation. It covers topics from ray chaos to wave chaos, highlighting the Hamiltonian structure

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Area of Science:

  • Ocean Acoustics
  • Wave Propagation
  • Classical Mechanics

Background:

  • Long-range sound propagation in deep ocean environments presents complex dynamics.
  • Traditional ray equations can be simplified for specific propagation scenarios.

Purpose of the Study:

  • To review recent advancements in ray dynamics for ocean acoustics.
  • To focus on long-range propagation in deep ocean environments.
  • To explore the application of a one-way formulation for simplified ray equations.

Main Methods:

  • Review of existing literature on ray dynamics.
  • Application of a one-way formulation simplifying ray equations.
  • Analysis of Hamiltonian structure in ray dynamics.

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Main Results:

  • Ray equations simplify using a one-way formulation with range as the independent variable.
  • Discussion of integrable/nonintegrable systems, resonances, KAM theorem, and ray chaos.
  • Exploration of Lyapunov exponents, predictability, semiclassical breakdown, and wave chaos.

Conclusions:

  • The Hamiltonian structure is crucial for understanding various aspects of ray dynamics.
  • Ray chaos and mode coupling are interconnected.
  • The one-way formulation offers a powerful tool for analyzing complex acoustic propagation.