Benchmark solutions for sound propagation in an ideal wedge

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

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.

Keywords: coupled-mode theory wedge-shaped waveguide perfectly reflecting boundary benchmark solution

Received: 21 August 2012
Revised: 10 October 2012
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)

Fund: 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.

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

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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 2013 Chin. Phys. B 22 054301

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Benchmark solutions for sound propagation in an ideal wedge

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