Abstract

An idealized problem of sound propagation in a shallow sea with a curved underwater canyon is considered. The canyon is a circular feature of the bottom relief which causes horizontal refraction of acoustic waves. The sound field computation method for a waveguide with an inhomogeneity of this type is considered, and the geometry of horizontal rays trapped by the canyon is studied. The computation method is based on the separation of variables in the equation for the mode amplitudes and representation of the solution in the form of a double series. This technique is rather general in nature, because it can be used to compute the field in any problem where the waveguide has rotational symmetry. Furthermore, it is also shown which terms of the series correspond to horizontal rays trapped by the canyon.

中文翻译：

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圆形水下峡谷浅海中的绝热声传播

摘要

考虑了在具有弯曲的水下峡谷的浅海中传播声音的理想问题。峡谷是底部浮雕的圆形特征，会引起声波的水平折射。考虑了这种不均匀性的波导的声场计算方法，并研究了峡谷捕获的水平射线的几何形状。该计算方法基于模式振幅中方程中变量的分离以及双序列形式的解的表示。该技术本质上是相当通用的，因为它可用于计算波导具有旋转对称性的任何问题中的场。此外，还示出了该系列的哪些项对应于被峡谷捕获的水平射线。