A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts
LUO Wen-Yu1, SCHMIDT Henrik2
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190 2Department of Mechanical Engineering, Massachusetts Institute of Technology, Massachusetts 02139, U.S.A.
A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts
LUO Wen-Yu1, SCHMIDT Henrik2
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190 2Department of Mechanical Engineering, Massachusetts Institute of Technology, Massachusetts 02139, U.S.A.
A spectral coupled-mode solution of the three-dimensional (3D) acoustic field generated by a point source in the presence of an axisymmetric seamount is developed. Based on the same theoretical foundation as the formulation presented by Taroudakis [J. Comput. Acoust. 4 (1996) 101], the present approach combines a spectral decomposition in azimuth with a coupled-mode theory for two-way range-dependent propagation. However, the earlier formulations are severely limited in terms of frequency, size and geometry of the seamount, the seabed composition, and the distance between the source and the seamount, and are therefore severely limited in regard to realistic seamount problems. Without changing the fundamental theoretical foundation, the present approach applies a number of modifications to the formulation, leading to orders of magnitude improvement in numerical efficiency for realistic problems. Therefore, realistic propagation and scattering scenarios can be modeled, including effects of seamount roughness and realistic sedimentary structure.
A spectral coupled-mode solution of the three-dimensional (3D) acoustic field generated by a point source in the presence of an axisymmetric seamount is developed. Based on the same theoretical foundation as the formulation presented by Taroudakis [J. Comput. Acoust. 4 (1996) 101], the present approach combines a spectral decomposition in azimuth with a coupled-mode theory for two-way range-dependent propagation. However, the earlier formulations are severely limited in terms of frequency, size and geometry of the seamount, the seabed composition, and the distance between the source and the seamount, and are therefore severely limited in regard to realistic seamount problems. Without changing the fundamental theoretical foundation, the present approach applies a number of modifications to the formulation, leading to orders of magnitude improvement in numerical efficiency for realistic problems. Therefore, realistic propagation and scattering scenarios can be modeled, including effects of seamount roughness and realistic sedimentary structure.
(Backscattering, echoes, and reverberation in water due to combinations of boundaries)
引用本文:
LUO Wen-Yu;SCHMIDT Henrik. A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts[J]. 中国物理快报, 2010, 27(9): 94304-094304.
LUO Wen-Yu, SCHMIDT Henrik. A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts. Chin. Phys. Lett., 2010, 27(9): 94304-094304.
[1] Ferla C, Porter M, and Jensen F 1993 C-SNAP: Coupled SACLANTCEN normal mode propagation model (La Spezia: SACLANT Undersea Research Centre). [2] Porter M B, Jensen F B, and Feria C M 1991 J. Acoust. Soc. Am. 89 1058 [3] Evans R B 1983 J. Acoust. Soc. Am. 74 188 [4] Collins M D and McDonald B E 1995 J. Acoust. Soc. Am. 97 1567 [5] Lee D and Botseas G 1992 J. Acoust. Soc. Am. 91 3192 [6] Harrison C H 1977 J. Acoust. Soc. Am. 62 1382 [7] Perkins J S and Baer R N 1982 J. Acoust. Soc. Am. 72 515 [8] Botseas G, Lee D, and King D 1987 FOR3D: A Computer Model for Solving the LSS Three-Dimensional, Wide Angle Wave Equation (NUSC TR 7943) [9] Athanassoulis G A and Propathopoulos A M 1996 J. Acoust. Soc. Am. 100 206 [10] Taroudakis M I 1996 J. Comput. Acoust. 4 101 [11] Eskenazi J 2001 Master's Thesis (Cambridge: Massachusetts Institute of Technology) [12] McDonald B E, Collins M D, Kuperman W A and Heaney K D 1994 J. Acoust. Soc. Am. 96 2357 [13] Athanassoulis G A and Belibassakis K A 1997 J. Acoust. Soc. Am. 101 3371 [14] Jensen F B, Kuperman W A, Porter M B and Schmidt H 1994 Computational Ocean Acoustics (New York: American Institute of Physics) [15] Ricks D C and Schmidt H 1994 J. Acoust. Soc. Am. 95 3339 [16] Luo W 2007 Ph.D. Thesis (Cambridge: Massachusetts Institute of Technology) [17] Luo W 2009 J. Acoust. Soc. Am. 125 52 [18] Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Appl. Math. Ser. No 55 (Washington, DC: National Bureau of Standards) [19] Evans R B and Gilbert K E 1985 Comp. Math. Appl. 11 795 [20] Kim H J 2009 Ph.D. Thesis (Cambridge: Massachusetts Institute of Technology)