Singularities in Speckled Speckle: Statistics

Details Singularities in Speckled Speckle: Statistics Singularities in Speckled Speckle: Statistics

2008-06-23

arxiv.org/abs/0806.3656v1

Physics

Optics

18 pages, 13 figures, PDF of LaTeX

Scientific paper

10.1016/j.optcom.2008.09.029

Random optical fields with two widely different correlation lengths generate far field speckle spots that are themselves highly speckled. We call such patterns speckled speckle, and study their critical points (singularities and stationary points) using analytical theory and computer simulations. We find anomalous spatial arrangements of the critical points and orders of magnitude anomalies in their relative number densities, and in the densities of the associated zero crossings.

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