Abstract
A normal mode method for propagation modeling in common horizontally stratified shallow water, which is called beam-displacement ray-mode (BDRM) theory, is introduced. The peculiarity of this method is that the boundary effects on the sound field can be expressed by the equivalent boundary reflection coefficient, so BDRM theory can be extended to elastic bottom easily. Theoretical calculations of shallow-water sound field show that BDRM has high accuracy and fast speed. The pulse propagation in shallow water is also calculated by BDRM, and the calculated waveforms are in good agreement with the measured waveforms.
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References
Porter, M. B.,The Kraken Normal Mode Program, Saclant Underwater Centre, 1995.
Levinson, S. J., Westwood, E. K., Koch, R. A., An efficient and robust method for underwater acoustic normal-mode computations,J. Acoust. Soc. Am., 1995, 97(3): 1576.
Miller, J. F., Wolf, S. N,Modal Acoustic Transmission Loss: A Transmission-Loss Computer Program Using Normal-Mode Model of the Acoustic Field in the Ocean, Applied Ocean Acoustics Branch, Naval Research Laboratory, Washington, D. C., 1980.
Li, F., Xiao, L., Discussion on normal-mode attenuation and group velocity in shallow water,Science in China, Ser. A, 1998, 41(2): 203.
Zhang, R., Lu, Z., Attenuation and group velocity of normal mode in shallow water,J. Sound & Vib., 1989, 128(1): 121.
Tindle, C.T., Chapman, N. R., A phase function for finding normal mode eigenvalues over a layered elastic bottom,J. Acoust. Soc. Am., 1994, 96(3): 1777.
Westwood, E. K., Tindle, C. T., Chapman, N. R., A normal mode model for acoustic-elastic ocean environment,J. Acoust. Soc. Am., 1996, 100(6): 3631.
Langer, R. E., On the connection Formulas and the solutions of the wave equations,Phy. Rev., 1937, 51(3); 669.
Henric, R. F., Brannan, J. R., Warner, D. B., The uniform WkB Modal Approach to Pulsed and Broadband propagation,J. Acoust. Soc. Am., 1983, 74(4): 1464.
Zhang, R., The normal mode sound field in shallow water having negative gradient,Ada Acoustica, 1965, 2(1): 24.
Zhang, R., The normal mode sound field in a shallow water surface sound channel,Acta Phys. Sin., 1975, 24(3): 200.
Zhu, Y., Zhang, R., Pulse propagation in shallow water with thermocline,Science in China (in Chinese), Ser. A, 1996, 26 (3): 271.
Collines, M. D.,FEPE User’s Guide, NORDA Technical Note 365, 1988.
Zhang, R., He, Y., Liu, H., Applications of the WKBZ adiabatic mode approach to sound propagation in the Philippine Sea,J. Sound & Vib., 1995, 184(2): 439.
Brekhovskikh, L. M.,Waves in Layered Media, New York: Academic Press, 1980.
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Project support by the National Natural Science Foundation of China (Grant No. 1973405).
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Zhang, R., Li, F. Beam-displacement ray-mode theory of sound propagation in shallow water. Sci. China Ser. A-Math. 42, 739–749 (1999). https://doi.org/10.1007/BF02878993
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DOI: https://doi.org/10.1007/BF02878993