Multiple Scattering and the Method of Rytov*

Abstract

Rytov’s method (method of smooth perturbations) has been used extensively to solve problems involving wave propagation in weakly inhomogeneous media. Critics of the method have questioned the closure procedure employed in the Rytov theory and have expressed doubt as to the range of validity of the solution. Some of the criticisms have claimed the method fails because it does not treat multiple scattering and that it is limited in applicability to precisely the same region as the Born single-scattering approximation. These criticisms are shown herein to be at fault. A multiple-scattering interpretation of the Rytov solution is given, thus lending support to those proponents of Rytov who claimed an extended range of applicability relative to the Born approximation.