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The aim of the work was to construct an optical-physical model to analyze the processes of formation and propagation of speckle fields with different statistical and scaling characteristics. Much attention was paid to the development and software implementation of the algorithms that provide the possibility of varying statistical and fractal parameters of speckle beams in the initial plane and at different distances from it over a wide range. https://www.peeref.com/posters/10344/properties-of-fractal-speckle-fields-theory-and-applications