A method is described to compute the scattering of transient, scalar, acoustic waves by arbitrarily shaped, three-dimensional, inhomogeneous, penetrable objects of bounded extent. The problem is formulated in terms of a volume-integral equation over the interior of the scatterer. This integral equation is solved numerically by the marching-on-in-time method. Comparison is made with analytical results for a spherical, homogeneous scatterer, while some numerical results for scatterers of different shapes are presented.
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Gérard C. Herman (1981) studied this question.