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The motion of a heterogeneous fluid sphere due to an impulsive point source is calculated by several finite difference schemes and is interpreted in terms of reflected and diffracted pulses. The deviations due to heterogeneity from the results for the homogeneous sphere are calculated explicitly. Calculations show the change in amplitude of pulses and dispersion due to continuous variation of compressional velocity c, as compared with discontinuities in c.
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Alterman et al. (1968) studied this question.
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