Azimuthal Limitation in 3D PE Approximation for Underwater Acoustic Propagation
Resource
Journal of Computational Acoustics,15(2),221-233.
Journal
Journal of Computational Acoustics
Pages
221-233
Date Issued
2007-09
Date
2007-09
Author(s)
Abstract
The azimuthal limitation of the Parabolic Equation (PE) approximation in solving the three-dimensional (3D) wave equation in cylindrical coordinate has been studied in this paper. Typically, 3D problems are dealt with an N × 2D approximation, which treats a 3D field as a fan-like composition of many 2D vertical slices (r - z plane in cylindrical coordinate) ignoring the θ-coupling terms. To deal with problems possessing 3D effects, the θ-coupling terms have to be considered in PE approximation. Nevertheless, the azimuthal limitation in the 3D PE approximation is not defined as well as the vertical angle limitation. Hence, the theoretical derivation estimating the azimuthal limitation is put forth in this work. Numerical results of a modified benchmark problem are also presented to validate the arguments and the wide angle version of the 3D PE model, FOR3D.
SDGs
Type
journal article