Scattering of transient acoustic waves by an inhomogeneous obstacle

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.