Correlation properties of three-dimensional superposed fractal speckle distributions

Takashi Okamoto; Takuya Moriyama; Shuhei Fujita

doi:10.1117/12.695252

15 September 2006 Correlation properties of three-dimensional superposed fractal speckle distributions

Takashi Okamoto, Takuya Moriyama, Shuhei Fujita

Proceedings Volume 6341, Speckle06: Speckles, From Grains to Flowers; 634102 (2006) https://doi.org/10.1117/12.695252
Event: Speckle06: Speckles, From Grains to Flowers, 2006, Nimes, France

Abstract

The statistical properties of three-dimensional fractal speckle fields produced by three speckle waves crossed orthogonally are studied theoretically. The analytical expressions are derived for the intensity correlation of the superposed speckle fields, and the theoretical results are verified by means of computer simulations. It is shown that the spatial anisotropy of intensity distributions, which exists in each speckle field, remains even when three speckle waves are interfered with one another. The spatial anisotropy affects the power law distribution of intensity correlations for fractal speckle fields, and leads to speckle patterns that are not self-similar in two or three dimensions. As an application of the superposed speckle field, we propose a method to fabricate a disordered medium by illuminating photopolymer with multiple laser speckle waves.

Citation Download Citation

Takashi Okamoto, Takuya Moriyama, and Shuhei Fujita "Correlation properties of three-dimensional superposed fractal speckle distributions", Proc. SPIE 6341, Speckle06: Speckles, From Grains to Flowers, 634102 (15 September 2006); https://doi.org/10.1117/12.695252

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