A Unique Solution for H-Scattering from 2-D Roughness on a PEC Plane

A unique solution for H-scattering from a roughness (boss or indentation) on a PEC ground plane in the two-dimensional case is obtained making use of a new method that combine the Galerkin MoM on entire-domain basis and the Rayleigh´s method expansion of a solution in terms of the eigensolutions of Helmholtz equation in cylindrical coordinates. This method uses the dividing of upper space into two parts making use of a semi-circumference that encloses a roughness. Numerical calculations are enacted on the roughness surface only and then give a solution in a very economical way for any grazing. It is worth noting that this method is also applicable for the tree-dimensional scalar case as well