▽TOP▽活動実績▽２００２年▽

(9)　Fractality of the optical fields scattered by power-law-illuminated diffusers
　　　　Selected Papers from Fifth International Conference on Correlation Optics, ed. O. V. Angelsky,
　　　　Proceedings of SPIE Vol.4607, pp.257-267, 2002-2

　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 <= 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.