Benchmark solutions for sound propagation in an ideal wedge

摘要

Sound propagation in a wedge-shaped waveguide with perfectly reflecting boundaries is one of the few rangedependent 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.29014302] is also presented,through which the accuracy of this numerical model is illustrated.