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Proceedings Paper

Fractality of optical fields scattered by power-law-illuminated diffusers
Author(s): Jun Uozumi
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Paper Abstract

Some recent development on the properties of speckle intensity distributions that have fractal properties are presented. First, computer simulations are discussed for speckles produced by power-law illuminated diffusers with a wide range of the exponent 0 < D < 3 for the power function. By the simulation, the previous theoretical prediction for 1 < D < 3 is confirmed, and new results are found for D <EQ 1. Next, axial correlation property in the Fresnel diffraction region of the power-law illuminated diffuser is discussed on the theoretical and experimental basis. It is theoretically shown that the axial correlation function obeys the power function with the exponent of D - 2, which is subsequently confirmed by experiment. Finally, a method for producing fractal speckles in the image plane of a scattering object is proposed. Such speckles are actually generated and their power-law correlation behavior is demonstrated experimentally.

Paper Details

Date Published: 5 February 2002
PDF: 11 pages
Proc. SPIE 4607, Selected Papers from Fifth International Conference on Correlation Optics, (5 February 2002); doi: 10.1117/12.455198
Show Author Affiliations
Jun Uozumi, Hokkai-Gakuen Univ. (Japan)

Published in SPIE Proceedings Vol. 4607:
Selected Papers from Fifth International Conference on Correlation Optics

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