Properties of fractal speckle-like structures

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Abstract

Regarding the use in art therapy and ophthalmology, the properties of fractal speckle-like images are considered. For their construction, both the traditional approach based on the use of two-dimensional fractal functions and a new technique based on the representations of dynamic chaos were used. The important role of the scaling characteristics of the Fourier transforms of fractal light structures is revealed.

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About the authors

О. M. Vоkhnik

Lomonosov Moscow State University

Author for correspondence.
Email: vokhnik@rambler.ru
Russian Federation, Moscow

P. V. Korolenko

Lomonosov Moscow State University

Email: vokhnik@rambler.ru
Russian Federation, Moscow

V. I. Mokhov

Lomonosov Moscow State University

Email: vokhnik@rambler.ru
Russian Federation, Moscow

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Supplementary files

Supplementary Files
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2. Fig. 1. Characteristics of a speckle-like field (calculation): intensity distribution (a), spatial spectrum structure (b) (p, q are spatial frequencies), intensity distribution histograms (c) (1 — Rayleigh (A = 0) and 2 — non-Rayleigh (A = 2) statistics).

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3. Fig. 2. Dynamic dependence of xn on n (a), its Fourier transform (b) (p is the spatial frequency, |Fp| is the amplitude of the spectral components).

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4. Fig. 3. Fractal image of Mp, q (a). Graph of the structure function (b) (solid line Lt), linear approximation (dashed line ft).

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