水平变化双层波导声传播问题的耦合简正波解  

A coupled-mode solution for sound propagation in a range-dependent two-layer waveguide

作　　者：杨春梅[1,2] 骆文于[1] 秦继兴[1,2] 

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]中国科学院大学,北京100049

出　　处：《应用声学》2013年第6期446-456,共11页Journal of Applied Acoustics

基　　金：国家自然科学基金(11125420;11174312);中国科学院声学研究所知识创新工程资助项目

摘　　要：为了验证现有模型的精度,导出了全反射下边界双层波导中简正波耦合矩阵的解析表达式,并将其应用到全局矩阵耦合简正波模型(Direct global matrix coupled-mode)中,使得该模型可以提供水平变化双层波导问题的标准解。文中首先利用COUPLE的简正波及耦合矩阵数值解验证了该简正波及耦合矩阵解析表达式的正确性;其次,采用改进的DGMCM模型求解了双层波导海山声传播损失,结果表明,改进后的DGMCM模型可以非常精确地求解水平变化双层波导问题,可作为求解此类问题的标准模型使用。An analytical modal solutions and closed-form expressions for coupling matrices tor sound propagation in a range-dependent two-layer waveguide with perfectly reflecting lower boundaries are proposed in order to validate existing models. We further apply these expressions to a range-dependent propagation model recently developed. As a result, the updated direct global matrix coupled-mode （DGMCM） model is capable of providing benchmark solutions for range-dependent two-layer problems. Firstly, numerical solutions of the coupling matrices and modal solutions by COUPLE agree well with the proposed closed-form expressions for coupling matrices as well as the analytical modal solutions. Secondly, sound propagation around an underwater hill is solved by this updated model. The numerical results indicate that the updated DGMCM model has high accuracy, and can serve as a benchmark model for the range-dependent propagation problem in a two-layer waveguide.

关 键 词：全局矩阵方法 耦合简正波理论 双层波导 

分 类 号：O427.1[理学—声学]