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.
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