Recent Progress in the Development and Application of the Parabolic Equation

Abstract

Four university professors, sponsored jointly by the Navy-ASEE Summer Faculty Research Program, the Naval Underwater Systems Center, and the Office of Naval Research, chose to visit NUSC during the summer of 1983 to participate in both the NUSC independent research project, Finite Difference Solutions to Acoustic Wave Propagation, and the ONR-sponsored research project, Computational Acoustics. Research was performed jointly by the authors of this document. This technical document reports significant technical progress attained during the visit. Time did not permit the authors to carry out the necessary computations during the summer; however, as a continuing joint effort, computational results will be produced later to verify the validity of the theoretical developments. Mathematical, physical, and computational contributions to the underwater acoustic wave propagations have been made due to combined multiple efforts among the authors presented here. These accomplishments not only enhance the PE capability by extending the solution to three-dimensional problems, but the work can be extended to handle acoustic wave propagations in elastic media. It is necessary that a complete numerical computation be performed to confirm the validity of these theoretical and computational developments. Keywords include: Finite difference; Hybrid parabolic equation; Parabolic equation; Range refraction; Sparse technique; Stability; Wide angle.

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Document Details

Document Type
Technical Report
Publication Date
May 07, 1984
Accession Number
ADA151475

Entities

People

  • Dongjin Lee
  • P. D. Scully-power

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Asymptotic Series
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Frequency
  • Helmholtz Equations
  • Partial Differential Equations
  • Refractive Index
  • Seabed
  • Sparse Matrix
  • Three Dimensional
  • Two Dimensional
  • Wave Equations
  • Wave Propagation

Readers

  • Acoustical Oceanography.
  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Technical Research and Report Writing.