三维声传播的高阶切线性抛物型方程解。

A higher-order tangent linear parabolic-equation solution of three-dimensional sound propagation.

机构信息

Applied Ocean Physics and Engineering Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA.

出版信息

J Acoust Soc Am. 2013 Aug;134(2):EL251-7. doi: 10.1121/1.4813852.

DOI:10.1121/1.4813852

PMID:23927233

Abstract

A higher-order square-root operator splitting algorithm is employed to derive a tangent linear solution for the three-dimensional parabolic wave equation due to small variations of the sound speed in the medium. The solution shown in this paper unifies other solutions obtained from less accurate approximations. Examples of three-dimensional acoustic ducts are presented to demonstrate the accuracy of the solution. Future work on the applications of associated adjoint models for acoustic inversions is proposed and discussed.

摘要

采用高阶平方根算子分裂算法，针对介质中声速的小变化，推导出三维抛物型波动方程的切线性解。本文给出的解统一了其他从不太精确的近似方法得到的解。本文还给出了三维声管的例子，以验证解的精度。最后还对相关伴随模型在声学反演中的应用进行了讨论。