Abstract
The generic developing vector speckle fields were realized first by the “optical-damage” effect in the photorefractive crystal LiNbO3:Fe. Singularities evolve through loop and chain reactions. Loop trajectories are limited in time and evolve in one speckle. Chain reactions are not limited in space and time. They obey installed topological sum rules: equal quantity of paired nucleations, annihilations and dislocation lines interconnections. Techniques of the Hurst (H) exponent, firstly used in dynamic singular optics, allowed install space-time autocorrelation of speckle fields development. Measured high values of the exponent H = 0.56–0.89 for the C points chain reactions witness realization of the long-term positive autocorrelation processes during generic development of singular vector speckle fields.
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Soskin, M., Vasil’ev, V. (2016). Dynamic Singular Vector Speckle Fields and Their Hurst Exponent Time Analysis. In: Shulika, O., Sukhoivanov, I. (eds) Contemporary Optoelectronics. Springer Series in Optical Sciences, vol 199. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7315-7_8
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