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JOURNALS // Uspekhi Fizicheskikh Nauk // Archive

UFN, 2012 Volume 182, Number 1, Pages 19–48 (Mi ufn2549)

This article is cited in 35 papers

REVIEWS OF TOPICAL PROBLEMS

Ray and wave chaos in underwater acoustic waveguides

A. L. Virovlyanskya, D. V. Makarovb, S. V. Prantsb

a Institute of Applied Physics, Russian Academy of Sciences
b Pacific Oceanological Institute, Far Eastern Branch of Russian Academy of Sciences

Abstract: In the 1990s, the study of the chaotic behavior of ray trajectories in inhomogeneous waveguides emerged as a new field in ocean acoustics. It turned out that at ranges on the order of or larger than 1000 km ray chaos is well developed and should be taken into account when describing long-range sound propagation in the ocean. The theoretical analysis of ray chaos and of its finite-wavelength manifestation, wave chaos, is to a large extent based on well-known methods and ideas from the theory of dynamical and quantum chaos. Concrete examples are used to review the results obtained in this field over the last two decades.

PACS: 05.45.-a, 43.30.Bp, 43.30.Cq, 43.30.Dr

Received: March 15, 2011
Revised: April 29, 2011
Accepted: June 19, 2011

DOI: 10.3367/UFNr.0182.201201b.0019


 English version:
Physics–Uspekhi, 2012, 55:1, 18–46

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