Statistical properties of superposed fractal speckle fields

Takashi Okamoto

doi:10.1117/12.739966

10 April 2007 Statistical properties of superposed fractal speckle fields

Takashi Okamoto

Proceedings Volume 6613, Laser Optics 2006: Wavefront Transformation and Laser Beam Control; 66130E (2007) https://doi.org/10.1117/12.739966
Event: Laser Optics 2006, 2006, St. Petersburg, Russian Federation

Abstract

The correlation properties of fractal speckle distributions arising from superposition of three speckle waves propagating perpendicularly to one another 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 speckle patterns exists even when the three speckle waves are interfered with one another. This spatial anisotropy affects the power law distribution of intensity correlations for fractal speckles, leading to the speckle pattern which is not self-similar in two or three dimensions. As an application of the superposed speckle field, a method to fabricate a disordered medium by illuminating photopolymer with multiple laser speckle waves is proposed. Some preliminary experimental results are shown.

Citation Download Citation

Takashi Okamoto "Statistical properties of superposed fractal speckle fields", Proc. SPIE 6613, Laser Optics 2006: Wavefront Transformation and Laser Beam Control, 66130E (10 April 2007); https://doi.org/10.1117/12.739966

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