Study of the Interaction of Light with Rough Metal Surfaces. II. Theory

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Abstract
In the preceding paper we described the measurements of the scattering, reflectivity, and transmission of light by metals whose surfaces were rough on a microscopic scale. In this paper we develop further the two theoretical approaches outlined in that paper. The first approach considers the radiation from surface currents modulated by the surface roughness. The second approach considers a model surface for which the reflection properties can be solved exactly, the model consisting of metal spheres located above a smooth metal surface. The two approaches demonstrate all the physical phenomena reported in the preceding experimental paper.