A three-dimensional, two-way, parabolic equation model for acoustic backscattering in a cylindrical coordinate system

Dong Zhu, Leif Bjørnø Jensen

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    Abstract

    A new PE model for solving three-dimensional, forward and backward sound propagation in a cylindrical coordinate system is presented. The model marches a wave field in the radial direction including the azimuthal diffraction effects, and solves for a backscattered field based on a three-dimensional, single scattering approach. A periodic sidewall boundary condition is applied for computations in a 360-degree sector, while an approximate sidewall boundary condition is used for calculation in a sector less than 360 degrees. These two sidewall boundary conditions are verified by the numerical results. The major drawback of using the cylindrical coordinate system, when the backscattering solution is valid within a limited area, is analyzed using a geometrical-optical interpretation. The model may be useful for studying three-dimensional backscattering phenomena comprising azimuthal diffraction effects. ©2000 Acoustical Society of America.
    Original languageEnglish
    JournalAcoustical Society of America. Journal
    Volume108
    Issue number3
    Pages (from-to)889-898
    ISSN0001-4966
    DOIs
    Publication statusPublished - 2000

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    Copyright (2000) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

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