Abstract
We conduct a theoretical analysis and numerical simulation of fluctuations of low-frequency signals propagating in shallow water in the presence of nonlinear internal waves moving approximately along the acoustic track. It is believed that mode coupling causes the fluctuations. We show that in the fluctuation spectra there are characteristic frequencies that are proportional to the motion velocity of solitons along the track. We calculate the sound field using single- and multimode sources and analyze the frequency-mode composition of the field responsible for the maximum and minimum fluctuations. We analyze the so-called dominant fluctuation frequency introduced previously by the authors, which corresponds to fluctuations with the maximum amplitude in the given frequency range and for the given set of modes. We compare the calculation results with estimates obtained previously by the authors within the framework of ray theory.
Similar content being viewed by others
References
J. X. Zhou, X. Z. Zhang, and P. H. Rogers, J. Acoust. Soc. Am. 90, 2042 (1991).
D. Rubenstein and M. N. Brill, Ocean Variability and Acoustic Propagation, Ed. by J. Potter and A. Warn-Varnas (Kluwer Academic, Dordrecht, 1991).
J. C. Preisig and T. F. Duda, IEEE J. Oceanic Eng. 22, 256 (1997).
B. G. Katsnel’son and S. A. Pereselkov, Acoust. Phys. 44, 684 (1998).
J. R. Apel, M. Badiey, Chiu Ching-Sang, S. Finette, R. Headrick, J. Kemp, J. F. Lynch, A. Newhall, M. H. Orr, B. H. Pasewark, D. Tielbuerger, and A. Turgut, IEEE J. Oceanic Eng. 22, 465 (1997).
J. F. Lynch and P. H. Dahl, J. Acoust. Soc. Am. 112, 2360 (2002).
J. Lynch and D. Tang, J. Acoust. Soc. Am. 124, 63 (2008).
B. Katsnelson, V. Petnikov, and J. Lynch, Fundamentals of Shallow Water Acoustics (Springer, 2011).
B. G. Katsnel’son, M. Badiey, and J. Lynch, Acoust. Phys. 53, 313 (2007).
B. G. Katsnelson, V. Grigorev, M. Badiey, and J. F. Lynch, J. Acoust. Soc. Am. 126, EL41 (2009).
V. A. Grigor’ev and B. G. Katsnel’son, Acoust. Phys. 55, 68 (2009).
V. A. Grigor’ev, B. G. Katsnel’son, and J. F. Lynch, Acoust. Phys. 59, 431 (2013).
B. Katsnelson, V. Grigorev, and J. F. Lynch, J. Acoust. Soc. Am. 124, EL78 (2008).
A. N. Tikhonov, A. D. Vasil’eva, and A. G. Sveshnikov, Differential Equations (Nauka, Moscow, 1980) [in Russian].
A. E. Newhall, T. F. Duda, K. von der Heydt, J. D. Irish, J. N. Kemp, S. A. Lerner, S. P. Liberatore, Y.-T. Lin, J. F. Lynch, A. R. Maffei, A. K. Morozov, A. Shmelev, C. J. Sellers, and W. E. Witzell, Acoustic and Oceanographic Observations and Configuration Information for the WHOI Moorings from the SW06 Experiment (Woods Hole Oceanog. Inst. Tech. Rept., 2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Grigor’ev, B.G. Katsnel’son, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 3, pp. 262–271.
Rights and permissions
About this article
Cite this article
Grigor’ev, V.A., Katsnel’son, B.G. Sound fluctuations resulting from mode coupling in shallow-water internal waves. Acoust. Phys. 60, 287–296 (2014). https://doi.org/10.1134/S106377101403004X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106377101403004X