ACOUSTIC-WAVE SCATTERING FROM A RANDOMLY ROUGH-SURFACE

Acoustic wave scattering from a randomly rough surface is studied usin g a multiple scattering analysis. Assuming the surface asperities to b e small, approximate boundary conditions are used to derive a pair of coupled integral equations for the velocity potentials. The Dyson equa tion is next derived on introducing symbolic operators. Using the bilo cal approximation the Dyson equation is solved, thereby obtaining expl icit expressions for the coherent reflection and transmission coeffici ents. The analysis is similarly carried on further to compute the inco herent intensity by using the ladder approximation, and hence an expre ssion for the scattering coefficient is obtained.