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

作　　者：秦继兴[1] 骆文于[1] 张仁和[1] 杨春梅[2] 

机构地区：[1]中国科学院声学研究所声场声信息国家重点实验室,北京100190 [2]国家海洋局第一海洋研究所海洋环境科学与数值模拟重点实验室,青岛266061

出　　处：《中国科学：物理学、力学、天文学》2015年第1期63-72,共10页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(批准号:11434012;11174312)资助项目

摘　　要：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.

关 键 词：耦合简正波理论 多声源 水平变化波导 全局矩阵方法 

分 类 号：O422[理学—声学]