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