A new technique--the mutual interaction method (MIM)--allows computation of the exact scattering characteristics of an object near a rough surface, or any pair of scattering objects, from their individual scattering functions. MIM is well suited to numerical computation; moreover, for a class of small scattering objects near plane surfaces, analytic solutions can be found. The application of MIM to the surface scatter problem is described and illustrated.
Charles L. Rino,
Hoc D. Ngo,
"Scattering from objects near a rough surface", Proc. SPIE 1558, Wave Propagation and Scattering in Varied Media II, (11 November 1991); doi: 10.1117/12.49639; https://doi.org/10.1117/12.49639