Correlation dimension of speckle patterns for fractal-like scatterers

Dmitry A. Zimnyakov; Valery V. Tuchin; Alexey A. Mishin; Kirill V. Larin

doi:10.1117/12.276185

10 June 1997 Correlation dimension of speckle patterns for fractal-like scatterers

Dmitry A. Zimnyakov, Valery V. Tuchin, Alexey A. Mishin, Kirill V. Larin

Proceedings Volume 3177, CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems; (1997) https://doi.org/10.1117/12.276185
Event: Nonlinear Dynamics of Laser and Optical Systems, 1997, Russia, Russian Federation

Abstract

Various methods of coherent optical quantification of the structure functions of the boundary field phase distributions in the case of fractal-like scattering objects are considered: (1) by using the analysis of the angular dependence of scattered light mean intensity; (2) by estimating the parameters of the structure function of the far-field intensity fluctuations of scattered light. It has been shown in the second case that the equality of the correlation exponents of the boundary field phase and of the far-field intensity takes place if scattering objects with the Gaussian phase statistics are illuminated by a collimated beam and a great number of statistically independent elementary scatterers within illuminated area is provided. Experiments with rough glass plates illuminated by the Gaussian beams have shown that the values of the correlation exponents of the boundary field phase fluctuations (which have been obtained by means of microinterferometric measurements) are in satisfactory agreement with the corresponding values of the far-field speckle intensity.

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Dmitry A. Zimnyakov, Valery V. Tuchin, Alexey A. Mishin, and Kirill V. Larin "Correlation dimension of speckle patterns for fractal-like scatterers", Proc. SPIE 3177, CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems, (10 June 1997); https://doi.org/10.1117/12.276185

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KEYWORDS

Light scattering

Speckle pattern

Scattering

Collimation

Gaussian beams

Glasses

Laser scattering

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