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• W2325301265 abstract "In this paper, sound scattering at a water/sediment periodic interface is modeled by an integral equation method to investigate the range of validity of the Rayleigh hypothesis. Due to the periodicity of surface, coupled integral equations are simplified by introducing the quasi-periodic Green's function, which can be evaluated with a relatively small number of terms of the spectral series. By comparing the scattering amplitudes obtained from the integral equation method and the method based on the Rayleigh hypothesis, the range of validity of the Rayleigh hypothesis is determined. For a given wavenumber κ of the periodic surface, the maximum surface amplitude hmax beyond which the Rayleigh hypothesis is invalid decreases with frequency of incident waves. For the grazing angle θ = 90 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>°</sup> , h <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>max</sub> is larger than h <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>c</sub> =0.448/κ (the upper limit of surface amplitude determined by the criterion of the Rayleigh hypothesis) in the frequency range 2.5-40 kHz. However, for a small grazing angle, such as, θ = 35 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>°</sup> , h <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>max</sub> is observed to be smaller than h <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>c</sub> for the large surface period Λ at frequency 40 kHz." @default.
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• W2325301265 date "2014-10-01" @default.
• W2325301265 modified "2023-10-16" @default.
• W2325301265 title "Range of Validity of the Rayleigh Hypothesis for Sound Wave Scattering From a Periodic Seafloor" @default.
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• W2325301265 doi "https://doi.org/10.1109/joe.2013.2289173" @default.
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