Abstract
Numerical simulation methods are described for the spectral characteristics of an acoustic signal scattered by multiscale surface waves. The methods include the algorithms for calculating the scattered field by the Kirchhoff method and with the use of an integral equation, as well as the algorithms of surface waves generation with allowance for nonlinear hydrodynamic effects. The paper focuses on studying the spectrum of Bragg scattering caused by surface waves whose frequency exceeds the fundamental low-frequency component of the surface waves by several octaves. The spectrum broadening of the backscattered signal is estimated. The possibility of extending the range of applicability of the computing method developed under small perturbation conditions to cases characterized by a Rayleigh parameter of ≥1 is estimated.
Similar content being viewed by others
References
L. M. Brekhovskikh and Yu. P. Lysanov, Fundamentals of Ocean Acoustics (Springer, 2003).
B. M. Salin and M. B. Salin, Acoust. Phys. 57, 833 (2011).
B. M. Salin, M. B. Salin, and R. C. Spindel, Acoust. Phys. 58, 220 (2012).
A. G. Luchinin and A. I. Khil’ko, Acoust. Phys. 51, 182 (2005).
C. T. Tindle, G. B. Deane, and J. C. Preisig, J. Acoust. Soc. Am. 125, 66 (2009).
L. M. Brekhovskikh, Dokl. Akad. Nauk SSSR 79, 585 (1951).
M. A. Isakovich, Zh. Eksp. Teor. Fiz. 23, 305 (1952).
E. L. Shenderov, Wave Problems of Hydroacoustics (Sudostroenie, Leningrad, 1972) [in Russian].
M. B. Kanevskii, Theory of Formation of Radiolocation Image of the Ocean Surface (Inst. Prikl. Fiz. Ross. Akad. Nauk, N. Novgorod, 2004) [in Russian].
P. Janssen, The Interaction of Ocean Waves and Wind (Cambridge Univ., Cambridge, 2004).
P. A. Hwang, J. Geophys. Res. 111, C06033 (2006).
V. I. Titov, V. V. Bakhanov, E. M. Zuikova, A. G. Luchinin, and Yu. I. Troitskaya, Actual Problems in Remote Sensing of the Earth from Space, 7, 273 (2010) [in Russian].
A. V. Slyunyaev and A. V. Sergeeva, Fund. Prikl. Gidrofizika 5(1), 24 (2012) [in Russian].
L. S. Dolin and M. I. Kondratyeva, Radiophysics and Quantum Electronics 38(1–2), 93 (1995).
B. M. Salin and M. B. Salin, Methods of measurement the three-dimensional wind waves spectra, based on the processing of video images of the sea surface // arXiv:1303.5248 (2013).
J. V. Toporkov and M. A. Sletten, IEEE Trans. Geosci. Remote Sens. 50, 2986 (2012).
E. I. Thorsos, J. Acoust. Soc. Am. 83, 78 (1988).
P. H. Dahl, J. Acoust. Soc. Am. 105, 2155 (1999).
G. A. Maksimov, V. A. Larichev, and K. V. Khoroshenkov, Acoust. Phys. 58, 139 (2012).
N. Tsingos, C. Dachsbacher, S. Lefebvre, and M. Dellepiane, Proc. Eurograph. Symp. on Rendering Techn., Grenoble, France, 2007.
V. E. Zakharov, A. I. Dyachenko, and O. A. Vasilyev, J. Europ. Mech. B: Fluids 21, 283 (2002).
A. I. Dyachenko, in Proc. 2nd Int. Conf. “Frontiers of Nonlinear Physics,” N. Novgorod, Russia. Inst. Appl. Phys. Russ. Acad. Sci., 2005, pp. 204–209.
S. M. Joshi and M. J. Isakson, J. Acoust. Soc. Am. 129, 2630 (2011).
E. L. Shenderov, Sound Radiation and Dispersion (Sudostroenie, Leningrad, 1989) [in Russian].
S. Kirkup, The Boundary Element Method in Acoustics Integrated Sound Software, 1998. http://www.boundary-element-method.com)
S. M. Rao, J. Acoust. Soc. Am. 130, 1792 (2011).
G. Canepa and D. C. Calvo, Proc. ECUA-2012, Edinburgh, UK, 2012, vol. 34,Pt. 3, pp. 770–777.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.B. Salin, A.S. Dosaev, A.I. Konkov, B.M. Salin, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 4, pp. 413–425.
Rights and permissions
About this article
Cite this article
Salin, M.B., Dosaev, A.S., Konkov, A.I. et al. Numerical simulation of Bragg scattering of sound by surface roughness for different values of the Rayleigh parameter. Acoust. Phys. 60, 442–454 (2014). https://doi.org/10.1134/S1063771014040186
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771014040186