中国物理B ›› 2016, Vol. 25 ›› Issue (12): 124309-124309.doi: 10.1088/1674-1056/25/12/124309

• SPECIAL TOPIC—Acoustics • 上一篇    下一篇

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), Xiao-Lin Yu(于晓林), Xue-Feng Yang(杨雪峰), Ze-Zhong Zhang(张泽众), 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
  • 收稿日期:2016-05-29 修回日期:2016-08-31 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Wen-Yu Luo E-mail:lwy@mail.ioa.ac.cn
  • 基金资助:

    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.

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. 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
  • Received:2016-05-29 Revised:2016-08-31 Online:2016-12-05 Published:2016-12-05
  • Contact: Wen-Yu Luo E-mail:lwy@mail.ioa.ac.cn
  • Supported by:

    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.

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摘要：

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.

关键词: coupled-mode method, wedge-shaped waveguide, direct-global-matrix approach, 3D acoustic field

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.

Key words: coupled-mode method, wedge-shaped waveguide, direct-global-matrix approach, 3D acoustic field

中图分类号:  (Normal mode propagation of sound in water)

  • 43.30.Bp
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)