A higher-order split-step Fourier parabolic-equation sound propagation solution scheme
Author(s) -
Ying-Tsong Lin,
Timothy F. Duda
Publication year - 2012
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.4730328
Subject(s) - helmholtz equation , fourier transform , mathematical analysis , underwater , helmholtz free energy , sound propagation , waveguide , operator (biology) , square root , mathematics , cartesian coordinate system , square (algebra) , space (punctuation) , acoustics , physics , computer science , optics , geometry , geology , biochemistry , oceanography , chemistry , repressor , quantum mechanics , transcription factor , gene , boundary value problem , operating system
A three-dimensional Cartesian parabolic-equation model with a higher-order approximation to the square-root Helmholtz operator is presented for simulating underwater sound propagation in ocean waveguides. The higher-order approximation includes cross terms with the free-space square-root Helmholtz operator and the medium phase speed anomaly. It can be implemented with a split-step Fourier algorithm to solve for sound pressure in the model. Two idealized ocean waveguide examples are presented to demonstrate the performance of this numerical technique.
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