Dimensioning of Perfect and Regularly Transformed
Optical Fractals
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this article
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 |
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