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Quick Normal Mode Type Starting Fields for Parabolic Equation Models

  • E. Richard Robinson
  • Hue B. Tran
  • David H. Wood

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.

Keywords

Normal Mode Sound Speed Sound Field Source Depth Perturbation Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 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.Google Scholar
  2. 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.Google Scholar
  3. 3.
    Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, A. Jeffrey, ed., Academic Press, New York, 1980.Google Scholar
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    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.Google Scholar
  5. 5.
    Robinson, E. R. and D. H. Wood, Ideal Starting Fields for Parabolic Equation Models (in preparation).Google Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • E. Richard Robinson
    • 1
    • 2
  • Hue B. Tran
    • 1
    • 2
  • David H. Wood
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of Rhode IslandKingstonUSA
  2. 2.Code 3332, New London LaboratoryNaval Underwater Systems CenterNew LondonUSA

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