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Wave Propagation and Underwater Acoustics pp 224–287Cite as

The parabolic approximation method

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Part of the book series: Lecture Notes in Physics ((LNP,volume 70))

Abstract

This article has dealt with various aspects of parabolic approximation methods in underwater acoustics, mostly for propagation of sinusoidal signals. Extensions of these methods to time-dependent problems are also available: pulse propagation, moving sources and receivers, frequency shifting effects due to rapid temporal variations of oceanic conditions, and so forth. However, an adequate description of these extensions would require another long section and it was felt that the principles involved in making parabolic approximations have been sufficiently illustrated. Parabolic equation methods in underwater acoustics were developed only in the last few years, and as more and more use is made of these methods we may expect that many of the important modelling problems in ocean acoustics may be solved.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY

    Fred D. Tappert

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  1. Fred D. Tappert
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Joseph B. Keller John S. Papadakis

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© 1977 Springer-Verlag

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Tappert, F.D. (1977). The parabolic approximation method. In: Keller, J.B., Papadakis, J.S. (eds) Wave Propagation and Underwater Acoustics. Lecture Notes in Physics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08527-0_5

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  • DOI: https://doi.org/10.1007/3-540-08527-0_5

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  • Print ISBN: 978-3-540-08527-0

  • Online ISBN: 978-3-540-36984-4

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