摘要:
提出了一种高效、精确而且数值稳定的耦合简正波方法,用于求解水平变化波导中的声传播问题。与现有的数值模型相比,本方法采用合理的归一化距离解,极大地提高了数值稳定性;通过结合一个前向传播过程和一个后向传播过程,该方法极大地提高了计算精度,可用于精确求解水平变化波导中的声传播问题,尤其适用于大角度斜坡以及海底与海水声阻抗差别较大的问题;此外,通过采用单次散射近似,该方法极大地提高了计算效率,而且对计算条件要求较低。从数值结果可以看出,本方法是一种高效、精确而且数值稳定的求解水平变化波导声传播问题的耦合简正波方法。
Abstract:
An efficient, accurate, and numerically stable coupled-mode solution for acoustic propagation in a rangedependent waveguide was presented. This method is numerically stable due to the appropriately normalized range solutions introduced in the formulation. In addition, by combining a forward marching and a backward marching, this method provides accurate solutions for range-dependent propagation problems, especially those characterized by large bottom slope angles and/or high impedance contrast between water and the bottom. Furthermore, this two-way solution also features in high efficiency, which is achieved by applying the single-scatter approximation. Numerical examples are also provided to demonstrate the efficiency, accuracy, and stability of this method.
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