Summary
TheSH wave equation in a transversely isotropic inhomogeneous elastic medium, where the elastic parameters and density are functions of vertical coordinate, is considered. A general procedure is given for finding the inhomogeneities for which the equation can be solved in terms of hypergeometric, Whittaker, Bessel and exponential functions. A few simple inhomogeneities and the corresponding solutions in terms of these transcendental functions are presented.
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Bhattacharya, S.N. Exact solutions ofSH wave equation in transversely isotropic inhomogeneous elastic media. PAGEOPH 93, 19–35 (1972). https://doi.org/10.1007/BF00875218
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DOI: https://doi.org/10.1007/BF00875218