Facet-ensemble method for wave scattering from rough surface

The scattering of electromagnetic and acoustic waves by rough surfaces is studied when either the Dirichlet or the Neumann boundary condition prevails. The facet-ensemble method is used to compute the field scattered by rough surfaces. In this method, the scattering surfaces are modeled by an ensemble of flat facets and, consequently, the scattered field is expressed as a sum of specularly reflected and diffracted fields. The reflected field can be calculated by applying the laws of reflection and refraction. The uniform theory of diffraction (UTD) is used to solve the diffracted field from convex wedges on the surface. The surface models examined are periodic in one instance and random Gaussian in the other. The comparison between results from the facet-ensemble method and experimental data is good for both types of surfaces