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- W2017560427 abstract "The problem of scattering sound from a random interface separating two fluids with different densities and sound speeds is considered. The interface height is Gaussian distributed. The mathematical approach is the construction of the Green's function G for the problem by applying Green's theorem in both fluids to G and a single free space Green's function. Mixed surface-volume integral equations are derived in coordinate space using continuity conditions on G and its normal derivative. In Fourier transform space, these equations can be combined to yield a single three-dimensional integral equation for a singularity-free function Γ linearly related to G. Using cluster decomposition techniques yields the Dyson integral equation for the coherent part (mean, first moment) of Γ and the Bethe-Salpeter integral equation for its second moment. The Born terms and kernels of both these equations can be represented as infinite series of Feynman-like diagrams. The first diagram corresponds to a Kirchhoff approximation. Using it in the Dyson equation yields a one-dimensional integral equation which can be solved numerically. This multiple-scattering-Kirchhoff solution, in the case of a Neumann boundary, yields more coherent specular intensity for large values of the Rayleigh roughness parameter than the single-scattering-Kirchhoff approximation, and can be used to account for diverse experimental data. This as well as further results are discussed, the main point being the necessity of taking multiple scattering into account for problems of this type." @default.
- W2017560427 created "2016-06-24" @default.
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- W2017560427 date "1975-11-01" @default.
- W2017560427 modified "2023-10-17" @default.
- W2017560427 title "Multiple scattering from a random interface" @default.
- W2017560427 doi "https://doi.org/10.1121/1.2002248" @default.
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