Abstract
As we saw in the previous chapter, sound propagation in shallow water leads us, via the ray tracing approach, to a model of propagation wherein there will exist a multiplicity of reflected image sources. Given iso-speed conditions, the ray paths from these sources will be straight lines. In water whose depth is moderately shallow with respect to range, there may be sufficiently few bounces for the problem of estimating the summed sound intensity developed by each ray to be computationally viable. For channels which are extremely long by comparison with water depth, the problem rapidly becomes intractable, although with the increasing power of modern scientific workstations, this difficulty is less significant than it once was.
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References
D.E. Weston, A Moire Fringe Analog of Sound Propagation in Shallow Water, J. Acoust. Soc. Am., Vol. 32, No. 6, 1960, pp. 647–654
L.E. Kinsler, A.R. Frey, A.B. Coppens and J.V. Sanders, Fundamentals of Acoustics, Wiley, 3rd edition, New York, 1982
E. Kreyszig, Advanced Engineering Mathematics, Wiley, 5th edition, New York, 1983
C.L. Pekeris, Theory of Propagation of Explosive Sound in Shallow Water, in Propagation of Sound in the Oceans, Geol. Soc. Am. Memoir 27, 1948
I. Tolstoy and C.S. Clay, Ocean Acoustics, McGraw-Hill, New York, 1966, pp. 33- 36
C.B. Officer, Introduction to the Theory of Sound Transmission with Application to the Ocean, McGraw-Hill, New York, 1958
I. Tolstoy, Shallow Water Test of the Theory of Layered Wave Guides, J. Acoust. Soc. Am., Vol. 30, No. 4, 1958, pp. 348–361
I. Tolstoy, Note on the Propagation of Normal Modes in Inhomogeneous Media, J. Acoust. Soc. Am., Vol. 27, No. 2, 1955, pp. 274–277
K.G. Budden, The Wave-Guide Mode Theory of Wave Propagation, Logos, London, 1961
L. Brekhovskikh and Y. Lysanov, Fundamentals of Ocean Acoustics, Springer-Verlag, Berlin, 1982
L.M. Brekhovskikh, Waves In Layered Media (R.T. Beyer, transl.), 2nd edition, Academic Press, London, 1980
C.S. Clay and H. Medwin, Acoustical Oceanography, Wiley, New York, 1977
D.C. Stickler, Normal-mode Program with Both the Discrete and Branch Line Contributions, J. Acoust. Soc. Am., Vol. 57, No. 4, 1975, pp. 856–861
C.A. Boyles, Acoustic Waveguides, Wiley-Interscience, New York, 1984
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© 1990 Rodney F. W. Coates
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Willison, P.A. (1990). Normal Mode Modelling of Sonar Propagation. In: Underwater Acoustic Systems. Macmillan New Electronics Series. Palgrave, London. https://doi.org/10.1007/978-1-349-20508-0_5
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DOI: https://doi.org/10.1007/978-1-349-20508-0_5
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-42542-8
Online ISBN: 978-1-349-20508-0
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