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We present a new approximate theory of scattering by randomly rough surfaces. The selvedge region is considered to be a layer with fluctuating index. A mean-field theory is used to derive the diffuse intensity. Comparisons with Monte Carlo simulations based on surface integral equations show that the technique can be used for rms heights as large as λ/2 and for any type of slope for a dielectric constant of 2.25. However, the accuracy decreases with increasing dielectric constant.
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Sentenac et al. (1998) studied this question.
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