ABSTRACT The parabolic approximation for wave propagation in a random medium is extended to include the backscattering. Approximate analytic solutions for the mutual coherence functions of the transmitted and reflected waves due to a plane wave normally incident to a layer of random medium are obtained. The results are expressed in the form of a scattering matrix, which may be conveniently used in multi-layer problems. Some typical numerical results illustrating the effects of layer thickness and strength of permittivity fluctuation on the mutual coherence functions are presented.