Ukrainian Journal of Physical Optics

Number 2, Volume 3, 2002

Dimensioning of Perfect and Regularly Transformed Optical Fractals
Angelsky O.V., KonovchukA.V., Polyanskii P.V.

Department of Correlation Optics, Chernivtsi University, 2 Kotsyubinsky Str., 58012 Chernivtsi, Ukraine

The peculiarities of dimensioning regular fractals through measuring power spectra of the diffracted optical radiation field are discussed. It is shown on the example of one-dimensional Cantor set that asymmetrization of the fractal structure leads to modifications of the corresponding Fraunhofer diffractal, which nevertheless preserves its global symmetry. For that, the slope of the amplitude spectrum represented in a log-log scale is invariant in respect to the asymmetry coefficient applied to the fractal structure, being directly associated with the fractal dimension of the object.

Keywords: optical fractals, diffraction, fractal dimension, power law, amplitude spectrum

PACS: 47.53.+n, 42.25.Fx

doi 10.3116/16091833/3/2/119/2002

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