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Scattering of electromagnetic waves by randomly rough surfaces can be modelled efficiently by perturbation theory if the root mean square (rms) height is smaller than 0.06 . In this regime, the angular scattering pattern depends strongly on the correlation length a . It will be shown that for penetrable media, the height distribution strongly influences the angular scattering pattern. This property is illustrated with two different systems: a randomly rough dielectric surface and a rough dielectric film deposited on a perfectly conducting substrate. A model recently introduced (mean-field theory) yields a physical explanation of this behaviour. This approach is used to analyse the fringes produced by a randomly rough dielectric film deposited on a flat reflecting susbtrate. It is shown that the features of the fringes can be explained when accounting for the height distribution.
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Calvo-Perez et al. (1999) studied this question.
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