Abstract
The paper analytically demonstrates that for a shallow-water waveguide, there can be found an “optimal” bottom profile for which the energy losses with range will be the lowest, provided the initial and final depths are fixed and the depth increases monotonically. The analytical estimates given by the normal mode method are confirmed by a numerical experiment using a wide-angle parabolic equation. For the optimal profile, the features of the sound field behavior, its intensity with range from the source, and mode coupling are investigated.
Similar content being viewed by others
REFERENCES
A. A. Lunkov and V. G. Petnikov, Acoust. Phys. 56 (3), 328 (2010).
R. A. Koch, S. R. Rutherford, and S. G. Payne, J. Acoust. Soc. Am. 74 (1), 210 (1983).
E. S. Dosso and N. R. Chapman, J. Acoust. Soc. Am. 81 (2), 258 (1987).
F. D. Tappert, J. L. Spiesberger, and M. A. Wolfson, J. Acoust. Soc. Am. 111 (2), 757 (2002).
A. N. Rutenko, N. B. Kozitskii, and D. S. Manul’chev, Acoust. Phys. 61 (1), 72 (2015).
R. C. Spindel, J. Na, P. H. Dahl, S. Oh, C. Eggen, Y. G. Kim, V. A. Akulichev, and Y. N. Morgunov, IEEE J. Oceanic Eng. 28 (2), 297 (2003).
V. A. Akulichev, V. V. Bezotvetnykh, A. V. Burenin, E. A. Voitenko, and Yu. N. Morgunov, Acoust. Phys. 56 (1), 47 (2010).
L. M. Brekhovskikh and O. A. Godin, Acoustics of Heterogeneous Media, Vol. 2: Sound Fields in Layered and Three-Dimensional Heterogeneous Media (Nauka, Moscow, 2009) [in Russian].
M. D. Collins and E. K. Westwood, J. Acoust. Soc. Am. 89 (3), 1068 (1991).
Jun Tang, P. S. Petrov, Shengchun Piao, and S. B. Kozitskiy, Acoust. Phys. 64 (2), 225 (2018).
B. Katsnelson, V. Petnikov, and J. Lynch, Fundamentals of Shallow Water Acoustics (Springer, New York, 2012).
S. T. McDaniel, J. Acoust. Soc. Am. 72 (3), 916 (1982).
S. V. Burenkov, Akust. Zh. 35 (1), 19 (1989).
Yu. I. Papkova, Acoust. Phys. 63 (1), 54 (2017).
M. Yu. Trofimov, S. B. Kozitskiy, and A. D. Zakharenko, Wave Motion 58, 42 (2015).
V. A. Grigorev, B. G. Katsnelson, and J. F. Lynch, J. Acoust. Soc. Am. 140 (5), 3980 (2016).
A. N. Rutenko, A. V. Gavrilevskii, V. F. Putov, A. A. Solov’ev, and D. S. Manul’chev, Acoust. Phys. 62 (3), 357 (2016).
Funding
The study was supported by the Russian Foundation for Basic Research (project no. 16-32-60194) and Program no. 5 of the Presidium of the Russian Academy of Sciences “Photonic Technologies in Probing Inhomogeneous Media and Biological Objects”.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lunkov, A.A., Shermeneva, M.A. Acoustic Transmission Loss in Shallow-Water Waveguides with an Sloping Bottom. Acoust. Phys. 65, 527–536 (2019). https://doi.org/10.1134/S1063771019050129
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771019050129