Wave scattering in a rough elastic layer adjoining a fluid half-space

Wave propagation and scattering are considered in a medium consisting of a slightly rough elastic layer adjoining a fluid half-space. The solution is obtained for the mean wave potentials in both media, due to multiple scattering within and reradiation from the layer. This is found by deriving effective transmission and reflection coefficients for each irregular boundary, and then showing that the problem is equivalent to the deterministic one for a plane-sided layer with these effective coefficients. The solution exhibits the dependence upon the variance and correlation length of each boundary explicitly.