Fourier Optics of Fractal Structures


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Abstract

The scaling characteristics of Fourier spectra of fractal structures are determined. Their stability and influence on cognitive processes associated in particular with the aesthetic aspects of perceiving objects with self-similarity criteria are estimated. Evidence of their heuristic importance for Fourier analysis results is presented using an example in which the properties of aperiodic multilayer structures and chaotic processes are considered.

About the authors

A. V. Averchenko

Faculty of Physics, Moscow State University

Author for correspondence.
Email: aaverchenko93@gmail.com
Russian Federation, Moscow, 119991

N. Yu. Konopaltseva

Faculty of Physics, Moscow State University

Email: aaverchenko93@gmail.com
Russian Federation, Moscow, 119991

P. V. Korolenko

Faculty of Physics, Moscow State University; Lebedev Physical Institute, Russian Academy of Sciences

Email: aaverchenko93@gmail.com
Russian Federation, Moscow, 119991; Moscow, 119991

A. Yu. Mishin

Faculty of Physics, Moscow State University

Email: aaverchenko93@gmail.com
Russian Federation, Moscow, 119991

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