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Proceedings Paper

Dynamic speckles formed by focused coherent field scattering from rough surfaces with non-Gaussian statistics
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Paper Abstract

The process of the focused Gaussian beams diffraction from the surfaces with both small and large-scale relief inhomogeneities is considered. The analytical expressions describing the probability function of dynamic speckles intensity fluctuations have been derived. The numerical modeling of focused coherent beam scattering with a small number of scatterers has been conducted. As shown, this case corresponds to non-Gaussian scattered radiation statistics. The range of parameters, when the scattered field statistics are close to Gaussian ones, has been determined. The analysis of probability density function of amplitude fluctuations shows that speckle fields formed when the number of scatterers is small are statistically inhomogeneous ones. It was established how the statistical characteristics of a diffracted radiation depend on the correlation length and the standard deviation of random screen phase fluctuations.

Paper Details

Date Published: 14 June 1995
PDF: 10 pages
Proc. SPIE 2544, Interferometry VII: Techniques and Analysis, (14 June 1995); doi: 10.1117/12.211872
Show Author Affiliations
Sergey Yu. Kuzmin, Saratov State Univ. (Russia)
Sergey S. Ulyanov, Saratov State Univ. (Russia)

Published in SPIE Proceedings Vol. 2544:
Interferometry VII: Techniques and Analysis
Malgorzata Kujawinska; Ryszard J. Pryputniewicz; Mitsuo Takeda, Editor(s)

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