20 March 2000 Diffraction of an optical field on multifractals
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Abstract
Diffraction of radiation by the Cantor set based multifractals is studied. Connection between the dimension of an object's supporting fractal and its level is searched for as well as one between the multifractal's construction parameter, singularity spectra, and asymmetry parameters of its diffraction pattern. It has been shown that the singularity spectrum has a maximum whose position depends on the object's supporting fractal dimension. At the same time, a singularity spectrum half-width and near-field intensity's asymmetry coefficient occur to be acceptable for evaluation of the object construction ratio parameter, and magnitude of the asymmetry coefficient at saturation zone depends on the level of the object's supporting fractal.
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Oleg V. Angelsky, Oleg V. Angelsky, Alexander V. Kovalchuk, Alexander V. Kovalchuk, Peter P. Maksimyak, Peter P. Maksimyak, } "Diffraction of an optical field on multifractals", Proc. SPIE 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy, (20 March 2000); doi: 10.1117/12.380111; https://doi.org/10.1117/12.380111
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