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Proceedings Paper

Correlation dimension of a field diffracted by two-dimensional fractals
Author(s): Peter P. Maksimyak; V. V. Ryukhtin; Igor V. Silivra
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Paper Abstract

The dimension parameters of the field, diffracted by 2D fractals, such as Sierpinski's carpets is studied using the theory of stochastic oscillations. The correlation exponent v is used as the parameter characterizing the spatial complexity of an optical field. This parameter gives the number of spatial harmonics with incommensurable periods by means of which the structure of the object can be described. Observed quadratic connection between v and fractals levels.

Paper Details

Date Published: 18 November 1999
PDF: 7 pages
Proc. SPIE 3904, Fourth International Conference on Correlation Optics, (18 November 1999); doi: 10.1117/12.370426
Show Author Affiliations
Peter P. Maksimyak, Chernivtsi State Univ. (Ukraine)
V. V. Ryukhtin, Chernivtsi State Univ. (Ukraine)
Igor V. Silivra, Chernivtsi State Univ. (Ukraine)

Published in SPIE Proceedings Vol. 3904:
Fourth International Conference on Correlation Optics
Oleg V. Angelsky, Editor(s)

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