Abstract

The probability density function P(I) of the integrated intensity I, reflected from a moderately rough surface, is computed correct to order (2πσ/λ)2, where σ is the rms of the surface roughness z(x), and λ is the incident wavelength. By using the assumption that z(x) is a Gaussian random variable, we obtain P(I) as a function of the size of the detector aperture and the correlation length of the surface roughness. Numerical results and a comparison with previous works are given.

© 1981 Optical Society of America

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