Abstract
A unified exposition is given of the known exact result for the scattering from random two-phase isotropic media with a smooth interface. For the bulk–bulk scattering a new and simple derivation is given for the next to leading term (Porod–Kirste). The corresponding term for the film–film scattering is calculated. It is pointed out that from careful contrast matching experiments it may be possible to measure the average squared mean curvature 〈H2〉 and the average Gaussian curvature 〈K〉.