Investigation of statistical properties of dynamic speckles formed by focused Gaussian beam diffraction from a moving surface

Sergey Yu. Kuzmin; Sergey S. Ul'yanov

doi:10.1117/12.226679

10 November 1995 Investigation of statistical properties of dynamic speckles formed by focused Gaussian beam diffraction from a moving surface

Sergey Yu. Kuzmin, Sergey S. Ul'yanov

Author Affiliations +

Proceedings Volume 2647, International Conference on Holography and Correlation Optics; (1995) https://doi.org/10.1117/12.226679
Event: International Conference on Holography and Correlation Optics, 1995, Chernivsti, Ukraine

Abstract

In the paper the focused Gaussian beams diffraction from random surfaces which obey first- order Gaussian statistics is considered. The analytical expressions describing the probability density function and the correlation function of dynamic speckles intensity fluctuations and phase for different relations between the surface and the coherent beam parameters have been derived. The results of numerical simulation of focused coherent beam scattering for a small number of scatterers are discussed. The range of parameters, when the scattered field complex statistics are close to Gaussian ones, has been determined. Dependence of statistical characteristics of diffracted radiation on the correlation length and the standard deviation of random screen phase fluctuations has been studied.

Citation Download Citation

Sergey Yu. Kuzmin and Sergey S. Ul'yanov "Investigation of statistical properties of dynamic speckles formed by focused Gaussian beam diffraction from a moving surface", Proc. SPIE 2647, International Conference on Holography and Correlation Optics, (10 November 1995); https://doi.org/10.1117/12.226679

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