Localization effects in the scattering of light from a randomly rough grating

We calculate the resonant scattering of p-polarized light incident on a randomly rough grating ruled on a medium characterized by a dielectric constant ε(ω)=${\epsilon }_1$(ω)+i${\epsilon }_2$(ω), where ${\epsilon }_1$(ω)<-1 and ‖${\epsilon }_2$(ω)‖≪‖${\epsilon }_1$(ω)‖. Particular emphasis is placed on determining the contribution to the scattering that arises from the localization of surface polaritons due to the surface roughness. This localization is found to contribute a maximum to the angular dependence of the intensity of the nonspecularly reflected light in the antispecular direction.