Time-domain far-field scattering of plane scalar waves in the Born approximation

The low-contrast or (first-order) Born approximation is applied to the time-domain scattering of a plane scalar wave by an object of bounded extent present in a homogeneous embedding. Closed-form analytic expressions are obtained for the spherical-wave far-field scattering amplitude related to homogeneous objects of the following shapes: an ellipsoid, an elliptic cylinder of finite height, and a tetrahedron. Dispersion is included. Apart from their intrinsic interest, the results may be useful as test cases for time-domain inverse-scattering algorithms.