Scattering From 2-D Perfect Electromagnetic Conductor Rough Surface: Analysis With the Small Perturbation Method and the Small-Slope Approximation

We study the scattering of electromagnetic wave from a 2-D random rough surface that separates the vacuum from a perfect electromagnetic conductor (PEMC). We implement the first-order perturbation method and the first-order small-slope approximation and we establish the analytical expressions of the coherent and incoherent intensities. In contrast with the two special cases, the perfect electric conductor and the perfect magnetic conductor, the coherent intensity reflected by the PEMC has a cross-component. We also show that there is a depolarization in the incidence plane and that there are configurations, where the wave depolarization is complete and the incoherent intensity is reduced to its cross-component.