First-order perturbation theory and a nonorthogonal coordinate transformation are used to calculate light scattering from rough metallic surfaces having a dielectric overlayer. The theory considers arbitrary polarization, incident intensity profile, and angle of incidence, and it is valid for complex values of the dielectric constants of the metal ∊ and dielectric overlayer ∊0. The frequency range of interest is such that Re(∊) < 0. The results are applied to cases of periodic and random roughness where the dielectric overlayer replicates the substrate profile. Comparison to experiment is made in the case of periodic roughness, and numerical results are given in both cases.
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