Benchmark solutions for sound propagation in an ideal wedge

doi:10.1088/1674-1056/22/5/054301

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 54301-054301.doi: 10.1088/1674-1056/22/5/054301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Benchmark solutions for sound propagation in an ideal wedge

骆文于^a, 杨春梅^{a b}, 秦继兴^{a b}, 张仁和^a

a State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
b University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2012-08-21 修回日期:2012-10-10 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11125420 and 10734100) and the Knowledge Innovation Program of the Chinese Academy of Sciences.

Benchmark solutions for sound propagation in an ideal wedge

Luo Wen-Yu (骆文于)^a, Yang Chun-Mei (杨春梅)^{a b}, Qin Ji-Xing (秦继兴)^{a b}, Zhang Ren-He (张仁和)^a

a State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
b University of Chinese Academy of Sciences, Beijing 100049, China

Received:2012-08-21 Revised:2012-10-10 Online:2013-04-01 Published:2013-04-01
Contact: Luo Wen-Yu E-mail:lwy@mail.ioa.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11125420 and 10734100) and the Knowledge Innovation Program of the Chinese Academy of Sciences.

摘要/Abstract

摘要： Sound propagation in a wedge-shaped waveguide with perfectly reflecting boundaries is one of the few range-dependent problems with an analytical solution, and hence provides an ideal benchmark for a full two-way solution to the wave equation. An analytical solution for the sound propagation in an ideal wedge with a pressure-release bottom was presented by Buckingham and Tolstoy [Buckingham and Tolstoy 1990 J. Acoust. Soc. Am. 87 1511]. The ideal wedge problem with a rigid bottom is also of great importance in underwater acoustics. We present an analytical solution to the ideal wedge problem with a perfectly reflecting bottom, either rigid or pressure-release, which may be used to provide a means for investigating the sound field in depth-varying channels, and to establish the accuracy of numerical propagation models. Closed-form expressions for coupling matrices are also provided for the ideal waveguides characterized by a homogeneous water column bounded by perfectly reflecting boundaries. A comparison between the analytical solution and the numerical solution recently proposed by Luo et al. [Luo W Y, Yang C M and Zhang R H 2012 Chin. Phys. Lett. 29 014302] is also presented, through which the accuracy of this numerical model is illustrated.

关键词: coupled-mode theory, wedge-shaped waveguide, perfectly reflecting boundary, benchmark solution

Abstract: Sound propagation in a wedge-shaped waveguide with perfectly reflecting boundaries is one of the few range-dependent problems with an analytical solution, and hence provides an ideal benchmark for a full two-way solution to the wave equation. An analytical solution for the sound propagation in an ideal wedge with a pressure-release bottom was presented by Buckingham and Tolstoy [Buckingham and Tolstoy 1990 J. Acoust. Soc. Am. 87 1511]. The ideal wedge problem with a rigid bottom is also of great importance in underwater acoustics. We present an analytical solution to the ideal wedge problem with a perfectly reflecting bottom, either rigid or pressure-release, which may be used to provide a means for investigating the sound field in depth-varying channels, and to establish the accuracy of numerical propagation models. Closed-form expressions for coupling matrices are also provided for the ideal waveguides characterized by a homogeneous water column bounded by perfectly reflecting boundaries. A comparison between the analytical solution and the numerical solution recently proposed by Luo et al. [Luo W Y, Yang C M and Zhang R H 2012 Chin. Phys. Lett. 29 014302] is also presented, through which the accuracy of this numerical model is illustrated.

Key words: coupled-mode theory, wedge-shaped waveguide, perfectly reflecting boundary, benchmark solution

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)

骆文于, 杨春梅, 秦继兴, 张仁和. Benchmark solutions for sound propagation in an ideal wedge[J]. 中国物理B, 2013, 22(5): 54301-054301.

Luo Wen-Yu (骆文于), Yang Chun-Mei (杨春梅), Qin Ji-Xing (秦继兴), Zhang Ren-He (张仁和). Benchmark solutions for sound propagation in an ideal wedge[J]. Chin. Phys. B, 2013, 22(5): 54301-054301.

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Benchmark solutions for sound propagation in an ideal wedge

Benchmark solutions for sound propagation in an ideal wedge

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