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For the reverberation experiments with a near surface source or receiver, surface reverberation arriving first after source signal is not influenced by bottom reverberation due to time-delay difference of acoustic multipath in deep water. A surface reverberation model is proposed in the paper. The Green’s function of sound propagation is described by the ray theory, and first-order small-slope approximation is employed for the surface scattering from full angle. The effect of bubbles scattering is also considered to get the surface reverberation theory. The reverberation model is verified by comparing the simulation results with the experimental data. The measured data show that the decaying rate of surface reverberation intensity decreases with the frequency increasing. Numerical calculation demonstrates that the frequency dependence is caused by the positive correlation between scattering strength and frequency, and the surface reverberation at low frequency for low sea state is dominated by the scattering from rough air-sea interface. Moreover, the reverberation data from experiment show that the surface reverberation is not sensitive to the change of receiving depth. A method of inversion for the two surface-wave spectral parameters in the model is achieved based on the reverberation model. The inversion results verify that the spectral parameters of rough surface can be obtained from surface reverberation data on the premise of the wind speed parameter. As a result, the scattering properties of rough interface will be obtained.
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Keywords:
- deep-water reverberation /
- small-slope approximation /
- ray /
- scattering at surface roughness
[1] Bergmann P G, Spitzer L 1946 Summary Tech. Rep. 8 6
[2] Chapman R P, Harris J H 1962 J. Acoust. Soc. Am. 34 1592Google Scholar
[3] Bachmann W 1973 J. Acoust. Soc. Am. 54 712Google Scholar
[4] Crowther P A 1980 Collection in Cavitation and Inhomogeneities is Underwater Acoustics (Berlin: Springer-Verlag) p194
[5] Niitzel B, Herwig H, Monti J M, Koenigs P D 1987 The Influence of Surface Roughness and Bubbles on Sea Surface Acoustic Backscattering (New London: NUSC Tech. Rep. 7955, Naval Underwater Systems Center) pp1−61
[6] McDaniel S T 1988 Collection in Sea Surface Sound (Dordrecht: Springer) p225
[7] McDaniel S T 1993 J. Acoust. Soc. Am. 94 1551Google Scholar
[8] McDaniel S T 1993 J. Acoust. Soc. Am. 94 1905Google Scholar
[9] Richter R M 1964 J. Acoust. Soc. Am. 36 864Google Scholar
[10] Ogden P M, Erskine F T 1994 J. Acoust. Soc. Am. 96 2908Google Scholar
[11] Ogden P M, Erskine F T 1994 J. Acoust. Soc. Am. 95 746Google Scholar
[12] Schneider H G 1993 J. Acoust. Soc. Am. 93 770Google Scholar
[13] Ellis D D 1995 J. Acoust. Soc. Am. 97 2804Google Scholar
[14] Bass F G, Fuks I M 1978 Wave Scattering from Statistically Rough Surfaces (New York: Pergamon Press) p103
[15] Voronovich A G 1986 Progress in Underwater Acoustics Plenum, Halifax, Nova Scotia, Canada, July 16−18, 1986 p25
[16] Dashen R, Henyey F S, Wurmser D 1990 J. Acoust. Soc. Am. 88 310Google Scholar
[17] Maue A W 1949 Z. Phys. 126 601Google Scholar
[18] Kampen N G 1981 Stochastic Processes in Physics and Chemistry (Amsterdam: North Holland) p66
[19] Gauss R G, Gragg R F, Wurmser D, Fialkowski J M 2002 Nasa Sti/recon Technical Report 8
[20] Jackson D R, Winebrenner D P, Ishimaru A 1986 J. Acoust. Soc. Am. 79 1410Google Scholar
[21] Gauss R C, Fialkowski J M 2000 Proceedings of the Fifth European Conference on Underwater Acoustics, Lyon, France, July 10−13, 2000 1165
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[1] Bergmann P G, Spitzer L 1946 Summary Tech. Rep. 8 6
[2] Chapman R P, Harris J H 1962 J. Acoust. Soc. Am. 34 1592Google Scholar
[3] Bachmann W 1973 J. Acoust. Soc. Am. 54 712Google Scholar
[4] Crowther P A 1980 Collection in Cavitation and Inhomogeneities is Underwater Acoustics (Berlin: Springer-Verlag) p194
[5] Niitzel B, Herwig H, Monti J M, Koenigs P D 1987 The Influence of Surface Roughness and Bubbles on Sea Surface Acoustic Backscattering (New London: NUSC Tech. Rep. 7955, Naval Underwater Systems Center) pp1−61
[6] McDaniel S T 1988 Collection in Sea Surface Sound (Dordrecht: Springer) p225
[7] McDaniel S T 1993 J. Acoust. Soc. Am. 94 1551Google Scholar
[8] McDaniel S T 1993 J. Acoust. Soc. Am. 94 1905Google Scholar
[9] Richter R M 1964 J. Acoust. Soc. Am. 36 864Google Scholar
[10] Ogden P M, Erskine F T 1994 J. Acoust. Soc. Am. 96 2908Google Scholar
[11] Ogden P M, Erskine F T 1994 J. Acoust. Soc. Am. 95 746Google Scholar
[12] Schneider H G 1993 J. Acoust. Soc. Am. 93 770Google Scholar
[13] Ellis D D 1995 J. Acoust. Soc. Am. 97 2804Google Scholar
[14] Bass F G, Fuks I M 1978 Wave Scattering from Statistically Rough Surfaces (New York: Pergamon Press) p103
[15] Voronovich A G 1986 Progress in Underwater Acoustics Plenum, Halifax, Nova Scotia, Canada, July 16−18, 1986 p25
[16] Dashen R, Henyey F S, Wurmser D 1990 J. Acoust. Soc. Am. 88 310Google Scholar
[17] Maue A W 1949 Z. Phys. 126 601Google Scholar
[18] Kampen N G 1981 Stochastic Processes in Physics and Chemistry (Amsterdam: North Holland) p66
[19] Gauss R G, Gragg R F, Wurmser D, Fialkowski J M 2002 Nasa Sti/recon Technical Report 8
[20] Jackson D R, Winebrenner D P, Ishimaru A 1986 J. Acoust. Soc. Am. 79 1410Google Scholar
[21] Gauss R C, Fialkowski J M 2000 Proceedings of the Fifth European Conference on Underwater Acoustics, Lyon, France, July 10−13, 2000 1165
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