Abstract
The adiabatic mode parabolic equation is generalized to the case of an ocean overlying an elastic bottom. This three-dimensional model is valid when the medium varies sufficiently gradually with the horizontal coordinates so that both coupling of energy between modes and the azimuthal component of displacement may be neglected. The efficiency of the model is demonstrated by applying it to solve a global-acoustics problem involving diffraction by the Hawaiian Islands.
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References
H. Weinberg and R. Burridge, “Horizontal ray theory for ocean acoustics,” J. Acoust. Soc. Am. 55, 63–79 (1974).
M.D. Collins and S.A. Chin-Bing, “A three-dimensional parabolic equation model that includes the effects of rough boundaries,” J. Acoust. Soc. Am. 87, 1104–1109 (1990).
D. Lee, G. Botseas, and W.L. Siegmann, “Examination of three-dimensional effects using a propagation model with azimuth-coupling capability (FOR3D),” J. Acoust. Soc. Am. 91, 3192–3202 (1992).
J.S. Perkins and R.N. Baer, “An approximation to the three-dimensional parabolicequation method for acoustic propagation,” J. Acoust. Soc. Am. 72, 515–522 (1982).
M.D. Collins, “The adiabatic mode parabolic equation,” J. Acoust. Soc. Am. 94, 2269–2278 (1993).
A.D. Pierce, “Extension of the method of normal modes to sound propagation in an almost-stratified medium,” J. Acoust. Soc. Am. 37, 19–27 (1965).
M.A. Leontovich and V.A. Fock, “Solution of the problem of propagation of electromagnetic waves along the earth’s surface by the method of parabolic equation,” J. Exp. Theor. Phys. 16, 557–573 (1946).
V.A. Fock, Electromagnetic Diffraction and Propagation Problems (Pergamon, New York, 1965), pp. 213–234.
F.D. Tappert, “The Parabolic Approximation Method,” in Wave Propagation and Underwater Acoustics, edited by J.B. Keller and J.S. Papadakis, Lecture Notes in Physics, Vol. 70 (Springer, New York, 1977).
M.D. Collins, “A split-step Padé solution for the parabolic equation method,” J. Acoust. Soc. Am. 93, 1736–1742 (1993).
M.D. Collins, B.E. McDonald, K.D. Heaney, and W.A. Kuperman, “Three-dimensional effects in global acoustics,” J. Acoust. Soc. Am. (in press).
M.D. Collins, B.E. McDonald, W.A. Kuperman, and W.L. Siegmann, “Jovian acoustics and Comet Shoemaker-Levy 9,” J. Acoust. Soc. Am. (in press).
R.R. Greene, “A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces,” J. Acoust. Soc. Am. 77, 1991–1998 (1985).
M.D. Collins, “A higher-order parabolic equation for wave propagation in an ocean overlying an elastic bottom,” J. Acoust. Soc. Am. 86, 1459–1464 (1989).
B.T.R. Wetton and G.H. Brooke, “One-way wave equations for seismoacoustic propagation in elastic waveguides,” J. Acoust. Soc. Am. 87, 624–632 (1990).
M.D. Collins, “Higher-order parabolic approximations for accurate and stable elastic parabolic equations with application to interface wave propagation,” J. Acoust. Soc. Am. 89, 1050–1057 (1991).
M.B. Porter and E.L. Reiss, “A numerical method for bottom interacting ocean acoustic normal modes,” J. Acoust. Soc. Am. 77, 1760–1767 (1985).
M. Porter, “The Kraken normal mode program,” Saclantcen Memorandum Sm-245 (Saclant Undersea Research Centre, La Spezia, Italy, 1991).
A. Bamberger, B. Engquist, L. Halpern, and P. Joly, “Higher order paraxial wave equation approximations in heterogeneous media,” Siam J. Appl. Math. 48, 129–154 (1988).
A.B. Baggeroer and W. Munk, “The Heard Island Feasibility Test,” Physics Today 45(9), 22–30 (1992).
K.D. Heaney, B.E. McDonald, and W.A. Kuperman, “Perth-Bermuda sound propagation (1960): Adiabatic mode interpretation,” J. Acoust. Soc. Am. 90, 2586–2594 (1991).
B.E. McDonald, M.D. Collins, W.A. Kuperman, and K.D. Heaney, “Comparison of data and model predictions for Heard Island acoustic transmissions,” J. Acoust. Soc. Am. 96, 2357–2370 (1994).
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Orris, G.J., Collins, M.D., Deane, G.B., Porter, M.B. (1995). Three-Dimensional Sound Propagation in an Ocean Overlying an Elastic Bottom. In: Diachok, O., Caiti, A., Gerstoft, P., Schmidt, H. (eds) Full Field Inversion Methods in Ocean and Seismo-Acoustics. Modern Approaches in Geophysics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8476-0_12
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DOI: https://doi.org/10.1007/978-94-015-8476-0_12
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