This paper studies is considered the problem of coherent re ection of an acoustic plane wave from a rough seabed with a randomly inhomogeneous sediment layer overlying a uniform elastic basement. The randomness of the sound eld is attributable to the rough- ness of the seabed and the sound-speed perturbation in the sediment layer, resulting in a joint rough surface and volume scattering problem. An approach based upon perturbation theory, combined with a derived Green's function for a slab bounded above and below by a uid and an elastic half space, respectively, is employed to obtain an analytic solution for the coherent eld in the sediment layer. Furthermore, a boundary perturbation the- ory developed by Kuperman and Schmidt [22] is applied to treat the problem of rough surface scattering. A linear system is then established to facilitate the computation of the coherent re ection eld. The coherent re ection coe cients for various surface roughness, sediment randomness, frequency, sediment thickness, and basement elasticity have been generated numerically and analyzed. It was found that the higher/larger size of surface and/or medium randomness, frequency, thickness, and shear-wave speed, the lower the coherent re ection. Physical interpretations of the various results are provided.

No description available.