Generating random fractal fields by double-scattering process

Jun Uozumi

doi:10.1117/12.370419

18 November 1999 Generating random fractal fields by double-scattering process

Jun Uozumi

Proceedings Volume 3904, Fourth International Conference on Correlation Optics; (1999) https://doi.org/10.1117/12.370419
Event: International Conference on Correlation Optics, 1999, Chernivsti, Ukraine

Abstract

Intensity distributions and their correlation properties are investigated theoretically and experimentally for speckle fields produced by a double scattering process by means of a random fractal object and an ordinary phase screen. Speckle patterns generated in the Fraunhofer diffraction plane (a focal plane of a Fourier-transforming lens) of the second diffuser have clustered and self-similar appearances, and hence are regarded to be fractal. Their intensity correlation functions are shown to obey a power law. The similar intensity distributions and correlation properties are also observed in lateral planes at different distances from the lens. The correlation function in the longitudinal direction is also examined and found to have a power-law behavior, indicating the existence of 3D fractality of the field. Finally, fractality of speckle patterns produced in the Fresnel diffraction region of the ordinary diffuser is demonstrated.

Citation Download Citation

Jun Uozumi "Generating random fractal fields by double-scattering process", Proc. SPIE 3904, Fourth International Conference on Correlation Optics, (18 November 1999); https://doi.org/10.1117/12.370419

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