Analytical solution based on the wavenumber integration method for the acoustic field in a Pekeris waveguide  

作　　者：骆文于 于晓林 杨雪峰 张仁和 

机构地区：[1]State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China [2]University of Chinese Academy of Sciences, Beijing 100049, China [3]Shanghai Acoustic Laboratory, Chinese Academy of Sciences, Shanghai 200032, China

出　　处：《Chinese Physics B》2016年第4期194-205,共12页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11125420);the Knowledge Innovation Program of the Chinese Academy of Sciences;the China Postdoctoral Science Foundation(Grant No.2014M561882);the Doctoral Fund of Shandong Province;China(Grant No.BS2012HZ015)

摘　　要：An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.

关 键 词：wavenumber integration technique Pekeris waveguide analytical solution branch line integral 

分 类 号：O411[理学—理论物理]