Diffraction of an optical field on multifractals

Oleg V. Angelsky; Alexander V. Kovalchuk; Peter P. Maksimyak

doi:10.1117/12.380111

20 March 2000 Diffraction of an optical field on multifractals

Oleg V. Angelsky, Alexander V. Kovalchuk, Peter P. Maksimyak

Proceedings Volume 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy; (2000) https://doi.org/10.1117/12.380111
Event: Saratov Fall Meeting '99, 1999, Saratov, Russian Federation

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.

Citation Download Citation

Oleg V. Angelsky, Alexander V. Kovalchuk, and Peter P. Maksimyak "Diffraction of an optical field on multifractals", Proc. SPIE 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy, (20 March 2000); https://doi.org/10.1117/12.380111

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