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

This article is cited in 19 scientific papers (total in 19 papers)


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.


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

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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

Citation: A. L. Virovlyansky, D. V. Makarov, S. V. Prants, “Ray and wave chaos in underwater acoustic waveguides”, UFN, 182:1 (2012), 19–48; Phys. Usp., 55:1 (2012), 18–46

Citation in format AMSBIB
\by A.~L.~Virovlyansky, D.~V.~Makarov, S.~V.~Prants
\paper Ray and wave chaos in underwater acoustic waveguides
\jour UFN
\yr 2012
\vol 182
\issue 1
\pages 19--48
\jour Phys. Usp.
\yr 2012
\vol 55
\issue 1
\pages 18--46

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    This publication is cited in the following articles:
    1. D. V. Makarov, L. E. Kon'kov, M. Yu. Uleysky, P. S. Petrov, “Wave chaos in a randomly inhomogeneous waveguide: Spectral analysis of the finite-range evolution operator”, Phys. Rev. E, 87:1 (2013)  crossref  zmath  isi  elib  scopus
    2. S. V. Prants, “Chaotic Lagrangian transport and mixing in the ocean”, Eur. Phys. J. Spec. Top, 223:13 (2014), 2723  crossref  isi  scopus
    3. D.V. Makarov, L.E. Kon’kov, “Order-to-chaos transition in the model of a quantum pendulum subjected to noisy perturbation”, Phys. Scr, 90:3 (2015), 035204  crossref  adsnasa  isi  elib  scopus
    4. Yingyue Boretz, L. E. Reichl, “Chaos and band structure in a three-dimensional optical lattice”, Phys. Rev. E, 91:4 (2015)  crossref  mathscinet  isi  scopus
    5. S.V. Prants, “Backward-in-time methods to simulate large-scale transport and mixing in the ocean”, Phys. Scr, 90:7 (2015), 074054  crossref  adsnasa  isi  elib  scopus
    6. M.E.. Gorbunov, V.V.. Vorob'ev, K.B.. Lauritsen, “Fluctuations of refractivity as a systematic error source in radio occultations”, Radio Sci, 2015, n/a  crossref  isi  scopus
    7. S.V.. Prants, “Dynamic Symmetries, Control, and Chaos with Moving Atoms in High-Quality Cavities”, J Russ Laser Res, 2015  crossref  isi  scopus
    8. S.V.. Prants, L.E.. Konkov, “Impact of Spontaneous Emission on the form and Dynamics of Atomic Wave Packets in an Optical Lattice”, J Russ Laser Res, 2015  crossref  isi  scopus
    9. Iomin A., “Hyperdiffusion of Quantum Waves in Random Photonic Lattices”, Phys. Rev. E, 92:2 (2015), 022139  crossref  mathscinet  adsnasa  isi  elib  scopus
    10. Makarov D.V., Kon'kov L.E., Petrov P.S., “Influence of Oceanic Synoptic Eddies on the Duration of Modal Acoustic Pulses”, Radiophys. Quantum Electron., 59:7 (2016), 576–591  crossref  isi  scopus
    11. Makarenko A.V., “TQ-bifurcations in discrete dynamical systems: Analysis of qualitative rearrangements of the oscillation mode”, J. Exp. Theor. Phys., 123:4 (2016), 666–676  crossref  isi  elib  scopus
    12. Prants S.V., “Laser-Induced Climbing of Cold Atoms Against the Gravity”, J. Russ. Laser Res., 37:5 (2016), 459–464  crossref  isi  scopus
    13. Tigan G., Constantinescu D., “Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps”, Chaos Solitons Fractals, 91 (2016), 128–135  crossref  mathscinet  zmath  isi  elib  scopus
    14. Fortov V.E., “High-Power Lasers in High-Energy-Density Physics”: Fortov, VE, Extreme States of Matter, Springer Series in Materials Science, 216, Springer-Verlag Berlin, 2016, 167–275  crossref  isi  scopus
    15. S. V. Prants, “Quantum–classical correspondence in chaotic dynamics of laser-driven atoms”, Phys. Scr., 92:4 (2017), 044002  crossref  isi  scopus
    16. D. V. Makarov, “On Measurement of Acoustic Pulse Arrival Angles Using a Vertical Array”, Acoust. Phys., 63:6 (2017), 673–680  crossref  isi  scopus
    17. Makarov V D., “Modeling of Sound Propagation in the Ocean By Means of Random Matrices”, Proceedings of the International Conference Days on Diffraction (Dd) 2017, eds. Motygin O., Kiselev A., Goray L., Suslina T., Kazakov A., Kirpichnikova A., IEEE, 2017, 227–232  crossref  isi
    18. Makarov D., “Random Matrix Theory For Low-Frequency Sound Propagation in the Ocean: a Spectral Statistics Test”, J. Theor. Comput. Acoust., 26:1 (2018), UNSP 1850002  crossref  isi  scopus
    19. Makarov V D., “Random Matrix Theory For An Adiabatically-Varying Oceanic Acoustic Waveguide”, Wave Motion, 90 (2019), 205–217  crossref  isi
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