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Proceedings Paper

Diffraction of radiation on Cantor fractals
Author(s): Oleg V. Angelsky; Alexander V. Kovalchuk; Peter P. Maksimyak; Volodymyr M. Rudeychuk
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Paper Abstract

In this paper we investigate some properties of the diffraction field due to Cantor bars, which are a 1-D fractal and are one of the most well known regular fractals. By 1-D fractal we mean that the smallest Euclidian dimension of a space where a fractal exists is one. We investigate spatial complexity in optical fields resulting from diffraction of a plane wave by such fractals. For this purpose we employ the theory of stochastic and chaotic oscillations. There are several parameters which are commonly used to characterize the dimension of a chaotic system, namely, Liapunov exponent, dimension, and entropy. We use fractal dimension d for fractals and correlation exponent v for the diffraction field. In the present paper, the correlation exponent v is used as a parameter characterizing the spatial complexity of an optical field. This parameter gives the quantity of spatial harmonics with uncommesurable periods.

Paper Details

Date Published: 10 November 1995
PDF: 4 pages
Proc. SPIE 2647, International Conference on Holography and Correlation Optics, (10 November 1995); doi: 10.1117/12.226678
Show Author Affiliations
Oleg V. Angelsky, Chernovtsy Univ. (Ukraine)
Alexander V. Kovalchuk, Chernovtsy Univ. (Ukraine)
Peter P. Maksimyak, Chernovtsy Univ. (Ukraine)
Volodymyr M. Rudeychuk, Chernovtsy Univ. (Ukraine)

Published in SPIE Proceedings Vol. 2647:
International Conference on Holography and Correlation Optics
Oleg V. Angelsky, Editor(s)

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