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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2024 Volume 50, Issue 14, Pages 25–28 (Mi pjtf6720)

The use in medicine of speckle-like structures with scaling of spatial spectra

P. V. Korolenko, R. T. Kubanov

Lomonosov Moscow State University, Moscow, Russia

Abstract: A group of interdisciplinary issues related to the use of concepts of modern fractal optics in ophthalmology and art therapy is considered. To extend the range of test optical images presented to patients during treatment and to increase the efficiency of light stimulation, it is proposed to include in the list of used images speckle-like light structures with multifractal geometry and geometry of polynomial attractors. To substantiate this proposal, an analysis of the scaling characteristics of their spatial spectra was performed; the analysis showed that they are similar to the relevant characteristics of fractal images that have already proven their efficiency in medical practice.

Keywords: fractals, speckles, art therapy, ophthalmology.

Received: 07.11.2023
Revised: 01.04.2024
Accepted: 02.04.2024

DOI: 10.61011/PJTF.2024.14.58305.19796



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© Steklov Math. Inst. of RAS, 2026