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Sound fluctuations resulting from mode coupling in shallow-water internal waves

  • Ocean Acoustics. Hydroacoustics
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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.

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References

  1. J. X. Zhou, X. Z. Zhang, and P. H. Rogers, J. Acoust. Soc. Am. 90, 2042 (1991).

    Article  ADS  Google Scholar 

  2. D. Rubenstein and M. N. Brill, Ocean Variability and Acoustic Propagation, Ed. by J. Potter and A. Warn-Varnas (Kluwer Academic, Dordrecht, 1991).

  3. J. C. Preisig and T. F. Duda, IEEE J. Oceanic Eng. 22, 256 (1997).

    Article  Google Scholar 

  4. B. G. Katsnel’son and S. A. Pereselkov, Acoust. Phys. 44, 684 (1998).

    ADS  Google Scholar 

  5. 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).

    Article  Google Scholar 

  6. J. F. Lynch and P. H. Dahl, J. Acoust. Soc. Am. 112, 2360 (2002).

    Article  ADS  Google Scholar 

  7. J. Lynch and D. Tang, J. Acoust. Soc. Am. 124, 63 (2008).

    Article  ADS  Google Scholar 

  8. B. Katsnelson, V. Petnikov, and J. Lynch, Fundamentals of Shallow Water Acoustics (Springer, 2011).

    Google Scholar 

  9. B. G. Katsnel’son, M. Badiey, and J. Lynch, Acoust. Phys. 53, 313 (2007).

    Article  ADS  Google Scholar 

  10. B. G. Katsnelson, V. Grigorev, M. Badiey, and J. F. Lynch, J. Acoust. Soc. Am. 126, EL41 (2009).

    ADS  Google Scholar 

  11. V. A. Grigor’ev and B. G. Katsnel’son, Acoust. Phys. 55, 68 (2009).

    Article  ADS  Google Scholar 

  12. V. A. Grigor’ev, B. G. Katsnel’son, and J. F. Lynch, Acoust. Phys. 59, 431 (2013).

    Article  ADS  Google Scholar 

  13. B. Katsnelson, V. Grigorev, and J. F. Lynch, J. Acoust. Soc. Am. 124, EL78 (2008).

    Article  ADS  Google Scholar 

  14. A. N. Tikhonov, A. D. Vasil’eva, and A. G. Sveshnikov, Differential Equations (Nauka, Moscow, 1980) [in Russian].

    MATH  Google Scholar 

  15. 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).

    Book  Google Scholar 

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Correspondence to V. A. Grigor’ev.

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Original Russian Text © V.A. Grigor’ev, B.G. Katsnel’son, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 3, pp. 262–271.

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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

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  • DOI: https://doi.org/10.1134/S106377101403004X

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