Wave Scattering by a Rough Surface in Random Inhomogeneous Medium

Scattering of the scalar spherical wave on an unbounded large-scale rough surface in a smooth random medium is considered. Statistical characteristics of scattered field are calculated by the Kirchhoff method with the use of a short-wave approximation for Green's function of the surrounding medium. Average field is calculated and features of its behavior versus the source-receiver distance are ascertained. Approximate expressions for the correlation function and average intensity of the field are obtained for the observation points located not very close to the source. The behavior of correlation characteristics of the field is examined against statistical characteristics of the surface and medium. Conditions are established at which the medium can produce a significant effect on the characteristics of scattered wave.