The method of Ying and Truell for studying the scattering of longitudinal elastic waves by spherical obstacles is applied to the particular case of scattering by a fluid-filled cavity that is embedded in an isotropic elastic solid. Exact solutions for the expansion coefficients which describe the scattered elastic wave are obtained. The limiting case of ka≪1 (Rayleigh scattering) is considered in detail. A general expression for the scattering cross section is derived.
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Einspruch et al. (1960) studied this question.