Elastic wave scattering from rough free surfaces

Scattering of elastic waves by a rough free surface is studied. The analysis is based on the concept of scattering amplitude (SA) which is the amplitude of the scattered wave. SA method is very convenient for the rough surface problem. By solving the boundary equations, It gets the first and second order solutions. The general result is used for an example-the wave scattering by rough surfaces with Gaussian distribution. The mean field and variance are given. At last, an experiment is designed to verify the theoretical result.