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J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 3, Pages 336–348 (Mi jsfu133)  

This article is cited in 4 scientific papers (total in 4 papers)

Wave chaos in underwater acoustics

Denis V. Makarov, Leonid E. Kon'kov, Michael Yu. Uleysky

V. I. Il'ichev Pacific Oceanological Institute, Vladivostok, Russia

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 perturbation's scales. A strong conflict occurs only with very low acoustic frequencies.

Keywords: ray chaos, wave chaos, quantum chaos, long-range sound propagation, periodic orbits.

Full text: PDF file (6971 kB)
References: PDF file   HTML file
UDC: 551.463
Received: 10.04.2010
Received in revised form: 10.05.2010
Accepted: 10.06.2010
Language:

Citation: Denis V. Makarov, Leonid E. Kon'kov, Michael Yu. Uleysky, “Wave chaos in underwater acoustics”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 336–348

Citation in format AMSBIB
\Bibitem{MakKonUle10}
\by Denis~V.~Makarov, Leonid~E.~Kon'kov, Michael~Yu.~Uleysky
\paper Wave chaos in underwater acoustics
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 3
\pages 336--348
\mathnet{http://mi.mathnet.ru/jsfu133}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. L. Virovlyansky, D. V. Makarov, S. V. Prants, “Ray and wave chaos in underwater acoustic waveguides”, Phys. Usp., 55:1 (2012), 18–46  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    2. Makarov D.V., “On Measurement of Acoustic Pulse Arrival Angles Using a Vertical Array”, Acoust. Phys., 63:6 (2017), 673–680  crossref  isi  scopus
    3. Fein J., ““Scientific Crude” For Currency: Prospecting For Specimens in Stalin'S Siberia”, Osiris, 33:1 (2018), 253–268  crossref  isi  scopus
    4. Makarov V D., “Random Matrix Theory For An Adiabatically-Varying Oceanic Acoustic Waveguide”, Wave Motion, 90 (2019), 205–217  crossref  mathscinet  zmath  isi  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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