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This article is cited in 19 scientific papers (total in 19 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.
DOI:
https://doi.org/10.3367/UFNr.0182.201201b.0019
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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
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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)
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S. V. Prants, “Chaotic Lagrangian transport and mixing in the ocean”, Eur. Phys. J. Spec. Top, 223:13 (2014), 2723
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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
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Yingyue Boretz, L. E. Reichl, “Chaos and band structure in a three-dimensional optical lattice”, Phys. Rev. E, 91:4 (2015)
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S.V. Prants, “Backward-in-time methods to simulate large-scale transport and mixing in the ocean”, Phys. Scr, 90:7 (2015), 074054
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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
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S.V.. Prants, “Dynamic Symmetries, Control, and Chaos with Moving Atoms in High-Quality Cavities”, J Russ Laser Res, 2015
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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
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Iomin A., “Hyperdiffusion of Quantum Waves in Random Photonic Lattices”, Phys. Rev. E, 92:2 (2015), 022139
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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
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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
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Prants S.V., “Laser-Induced Climbing of Cold Atoms Against the Gravity”, J. Russ. Laser Res., 37:5 (2016), 459–464
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Tigan G., Constantinescu D., “Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps”, Chaos Solitons Fractals, 91 (2016), 128–135
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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
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S. V. Prants, “Quantum–classical correspondence in chaotic dynamics of laser-driven atoms”, Phys. Scr., 92:4 (2017), 044002
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D. V. Makarov, “On Measurement of Acoustic Pulse Arrival Angles Using a Vertical Array”, Acoust. Phys., 63:6 (2017), 673–680
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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
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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
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Makarov V D., “Random Matrix Theory For An Adiabatically-Varying Oceanic Acoustic Waveguide”, Wave Motion, 90 (2019), 205–217
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