The curvilinear coordinate method associated with the short-coupling-range approximation for the study of scattering from one-dimensional random rough surfaces

This paper deals with the scattering of an incident plane wave from a mono-dimensional rough surface. The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The C method is based on the solving of Maxwell's equations under their covariant form written in a nonorthogonal coordinate system which fits the scattering surface profile. This leads to eigenvalue problems. The scattered surface fields are expressed as linear combinations of eigensolutions and the combination coefficients are determined using the boundary conditions. Electromagnetic fields are obtained using the surface fields and the Huygens principle. The short-coupling-range approximation (SCRA) applied with the C method allows a significant saving in computation time. We confirm the efficiency and the validity of this new approach with respect to the C method.