A perturbative theory of optical, rough-surface scattering must avoid certain pitfalls that are caused by components of the electric field being discontinuous at the surface. A theory which eliminates this problem is developed. The theory is simpler than other methods and is generally applicable to optical surface scattering in the perturbative limit. Scattering intensities from a rough dielectric surface are obtained, and the effect of roughness on the surface-plasmon dispersion relation is calculated. The methods developed are especially suitable for film-layered structures and are used to calculate the scattering from a surface with an overlayer.
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N. R. Hill (1981) studied this question.
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