Applied Ocean Physics and Engineering Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA.
J Acoust Soc Am. 2012 Aug;132(2):EL61-7. doi: 10.1121/1.4730328.
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.
本文提出了一种三维笛卡尔抛物线型方程模型,该模型对平方根亥姆霍兹算子进行了高阶逼近,用于模拟海洋波导中的水下声传播。高阶逼近包括与自由空间平方根亥姆霍兹算子和介质相位速度异常的交叉项。可以使用分步傅里叶算法来求解模型中的声压。本文给出了两个理想化的海洋波导示例,以验证该数值技术的性能。