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The sum of several periodic functions is used as an approach to simulate random interfaces in multilayers where a metal is coated with a dielectric thin-film or viceversa. Experimental deviations from reflectivity of such systems respect to those with smooth interfaces are well explained with the Rayleigh theory.
R. Garcia Llamas
"Effect of random rough interfaces in a multilayer stack", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19833G (26 July 1993); https://doi.org/10.1117/12.2308543
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R. Garcia Llamas, "Effect of random rough interfaces in a multilayer stack," Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19833G (26 July 1993); https://doi.org/10.1117/12.2308543