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Progress in Underwater Acoustics pp 419–423Cite as

Quick Normal Mode Type Starting Fields for Parabolic Equation Models

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Abstract

It is well known that Parabolic equation models require the user to provide a starting field. We present a method which directly generates the special combination of modes that gives the correct starting field. A comparison is made to the more customary Gaussian and normal mode starting fields.

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References

  1. Wood, D. H. and J. S. Papadakis, Initial data for the parabolic equation, Proceedings of the Bottom-Interacting Ocean Acoustics Conference, Pleham Press, New York, 1980, 417–420.

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  2. Ahluwalia and Keller, Exact and asymptotic representations of the sound field in a stratified ocean, in Wave Propagation and Underwater Acoustics, Keller, J. B. and J. S. Papadakis, eds., Lecture notes in Physics, vol. 70, Springer Verlag, New York, 1977.

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  3. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, A. Jeffrey, ed., Academic Press, New York, 1980.

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  4. Jensen, F. B. and M. C. Ferla, SNAP: The SACLANTCEN Normal-Mode Acoustic Propagation Model, SACLANTCEN Memorandum SM-121,15 January 1979, SACLANT ASW Research Center, La Spezia, Italy.

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  5. Robinson, E. R. and D. H. Wood, Ideal Starting Fields for Parabolic Equation Models (in preparation).

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Rhode Island, Kingston, Rhode Island, 02881, USA

    E. Richard Robinson, Hue B. Tran & David H. Wood

  2. Code 3332, New London Laboratory, Naval Underwater Systems Center, New London, CT, 06320, USA

    E. Richard Robinson, Hue B. Tran & David H. Wood

Authors
  1. E. Richard Robinson
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  2. Hue B. Tran
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  3. David H. Wood
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Editor information

Editors and Affiliations

  1. Defence Research Establishment Atlantic, Dartmouth, Nova Scotia, Canada

    Harold M. Merklinger

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© 1987 Plenum Press, New York

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Robinson, E.R., Tran, H.B., Wood, D.H. (1987). Quick Normal Mode Type Starting Fields for Parabolic Equation Models. In: Merklinger, H.M. (eds) Progress in Underwater Acoustics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1871-2_48

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  • DOI: https://doi.org/10.1007/978-1-4613-1871-2_48

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9043-8

  • Online ISBN: 978-1-4613-1871-2

  • eBook Packages: Springer Book Archive

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