Abstract

A method of describing spherical acoustic waves in cylindrical coordinates is applied to the problem of point source scattering by an elastic infinite fluid‐filled cylindrical shell. Léon et al. developed the scattering matrix for plane‐wave scattering by an infinite hollow cylindrical shell [Léon et al., 1388–1397 (1992)]. By using a method of expressing a spherical wave in cylindrical coordinates in a form similar to that of a plane wave in cylindrical coordinates [Li and M. Ueda, 1871–1879 (1990)], the result of Leon et al. is manipulated into an exact solution for the spherical wave, fluid‐filled scattering problem. The exact solution is in an integral form that is treated numerically. It is applied to distributed source and receiver arrays by treating them as sets of point sources and point receivers and then integrating over their spatial extent.

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