A brief retrospective analysis of the properties of fractal light images and their use in medicine is performed. Using algorithms based on the two-dimensional Weierstrass function, the scaling characteristics of regular and stochastic speckle-like fractal structures are calculated. It is shown that scaling of spatial spectra of fractal speckle fields ensures high efficiency of their application in art therapy and ophthalmology. During the modeling of light fields using the Weierstrass function, it was found that their configuration with a certain set of parameters makes it possible to form a multiplex structure of light radiation, which can be successfully used in optical tweezers.
$^1$Moscow State University named after M.V. Lomonosov, Faculty of Physics, Department of Optics, Spectroscopy and Physics of Nanosystems
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