Abstract

A model is developed that calculates the mean field and the specular scattering from rough dielectric surfaces. The roughness is regarded as random fluctuations of the permittivity whose averaged value depends on $z.$ A Dyson equation (in its volume formulation) is solved within the Bourret approximation to yield the mean field and the coherent reflection and transmission. Comparisons of the latter three items with the results of numerical simulations are presented in the case of one-dimensional rough surfaces illuminated by an $s$-polarized plane wave. Good agreement is obtained for rms heights as great as $\mathrm{\lambda }/2$ and a wide range of correlation lengths (from $\mathrm{\lambda }/5$ to 2λ) as long as the dielectric contrast remains small $(<4).$

© 1998 Optical Society of America

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