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Recent Progress in the Development and Application of the Parabolic Equation
NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CT NEW LONDON LAB
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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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