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- W118105087 abstract "This chapter discusses the scattering of elastic body waves. The principal methods used to evaluate scattering from bodies of regular shape are the expansion in eigenfunctions and the Wiener–Hopf method. For many applications, the features generating the scattered field are complex, e.g., a suite of stress induced microcracks. The progression to the analysis of multiple scattering is slow. A hierarchy of equations moving from single scattering to the inclusion of two-obstacle interactions, then three-obstacle interactions and upwards can be set up using, for instance, the T-matrix method. However, each step becomes more complicated than the previous one and the hierarchy has not been pursued beyond the second stage. The parabolic approximation only works well at frequencies so high that the mode conversion from one wave type to another can be ignored and the problem becomes a scalar one. The scalar form of the radiative transport equation is based on an energy density a(t, x, k) which is a function of time, space, and wave number. The diffusion approximation is obtained at propagation distances much longer than the mean-free path." @default.
- W118105087 created "2016-06-24" @default.
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- W118105087 date "2002-01-01" @default.
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- W118105087 title "Scattering of Elastic Body Wave" @default.
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- W118105087 doi "https://doi.org/10.1016/b978-012613760-6/50028-0" @default.
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