水平变化波导中多声源问题的耦合简正波解

A coupled-mode method for sound propagation with multiple sources in range-dependent waveguides

本文提出了一种精确、高效的耦合简正波方法,用于求解水平变化波导中多个声源存在时的声传播问题.为了处理多声源问题,修改了全局矩阵矩阵耦合简正波方法中的线性系统方程.修改线性系统方程所增加的计算量可以忽略不计,因此当多个声源存在于水平变化波导时,通过一次性求解修改后的线性系统方程能够高效地得到声场解.数值结果表明,该方法具有极高的计算精度,并且能够处理现有声传播模型不能高效解决的某些多声源问题.该模型可提供声场的标准解,用于验证其它声传播模型处理多声源问题的计算精度.此外,该模型可应用于三维声传播建模,来处理声源阵产生的波束在实际波导中的传播和散射问题.

An accurate and efficient coupled-mode method for multiple-source problems is presented. In order to treat multiple- source problems, we modify the linear system of equations based on the theory of a range-dependent propagation model recently developed by Luo et al. The additional computational effort caused by the modification is negligible, and thus field solutions can be obtained efficiently by solving the modified linear system of equations in the presence of multiple sources. Numerical results indicate that the present model is remarkably accurate, and capable of dealing with multiple-source problems which cannot be treated efficiently by existing models. This model can serve as benchmark in range-dependent propagation modeling for multiple-source problems, and can also be applied in three-dimensional modeling to treat realistic propagation and backscattering problems of a beam generated by a source array.