A Posteriori Phase Corrections to the Parabolic Equation
A method is described for transforming numerical solutions of the Tappert and Hardin (1974) parabolic equation of ocean acoustics into solutions of the Helmholtz equation. For range-independent media, the phase errors inherent in parabolic equation predictions of oceanic waveguide sound propagation are removed exactly. The method is based on an integral transform established by DeSanto (1977). It is shown that the field satisfying the Helmholtz equation can be obtained from the Fourier transform of the field satisfying the parabolic equation via fast field program (FFP) techniques. Numerical examples are presented to illustrate this post-processing approach to parabolic phase error correction.
KeywordsParabolic Equation Helmholtz Equation Helmholtz Equation Wavenumber Domain Ocean Acoustics
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