Chin. Phys. B, 2016, Vol. 25(12): 124309    DOI: 10.1088/1674-1056/25/12/124309
 SPECIAL TOPIC—Acoustics Prev   Next

# A three-dimensional coupled-mode model for the acoustic field in a two-dimensional waveguide with perfectly reflecting boundaries

Wen-Yu Luo(骆文于)1, Xiao-Lin Yu(于晓林)1,2, Xue-Feng Yang(杨雪峰)2,3, Ze-Zhong Zhang(张泽众)1,2, Ren-He Zhang(张仁和)1
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
Abstract

This paper presents a three-dimensional (3D) coupled-mode model using the direct-global-matrix technique as well as Fourier synthesis. This model is a full wave, two-way three-dimensional model, and is therefore capable of providing accurate acoustic field solutions. Because the problem of sound propagation excited by a point source in an ideal wedge with perfectly reflecting boundaries is one of a few three-dimensional problems with analytical solutions, the ideal wedge problem is chosen in this work to validate the presented three-dimensional model. Numerical results show that the field results by analytical solutions and those by the presented model are in excellent agreement, indicating that the presented model can serve as a benchmark model for three-dimensional sound propagation problems involving a planar two-dimensional geometry as well as a point source.

Keywords:  coupled-mode method      wedge-shaped waveguide      direct-global-matrix approach      3D acoustic field
Received:  29 May 2016      Revised:  31 August 2016      Accepted manuscript online:
 PACS: 43.30.Bp (Normal mode propagation of sound in water) 43.30.Gv (Backscattering, echoes, and reverberation in water due to combinations of boundaries) 43.20.Fn (Scattering of acoustic waves) 43.20.El (Reflection, refraction, diffraction of acoustic waves)
Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11125420, 11434012, and 41561144006) and the Knowledge Innovation Program of the Chinese Academy of Sciences.

Corresponding Authors:  Wen-Yu Luo     E-mail:  lwy@mail.ioa.ac.cn