Fractality of optical fields scattered by power-law-illuminated diffusers

Jun Uozumi

doi:10.1117/12.455198

5 February 2002 Fractality of optical fields scattered by power-law-illuminated diffusers

Jun Uozumi

Proceedings Volume 4607, Selected Papers from Fifth International Conference on Correlation Optics; (2002) https://doi.org/10.1117/12.455198
Event: Fifth International Conference on Correlation Optics, 2001, Chernivsti, Ukraine

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.

Citation Download Citation

Jun Uozumi "Fractality of optical fields scattered by power-law-illuminated diffusers", Proc. SPIE 4607, Selected Papers from Fifth International Conference on Correlation Optics, (5 February 2002); https://doi.org/10.1117/12.455198

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