Mesoscopic Speckle
Sheng Zhang, Yitzchak Lockerman, and Azriel Z. Genack
TL;DR
This paper investigates the statistical behavior of speckle pattern evolution by measuring singularity velocity and relating it to Gaussian random fields, revealing a unified framework for speckle and intensity statistics.
Contribution
It introduces a novel analysis of speckle evolution through singularity velocity statistics and connects mesoscopic and Gaussian field behaviors in speckle patterns.
Findings
Normalized velocity distributions match Gaussian field statistics
Correlation functions reveal mesoscopic and Gaussian behavior connection
Unified framework for speckle evolution and intensity statistics
Abstract
We have measured the local and global statistics of singularity velocity, v, and have related these through the spatial correlation function of v. The distribution of v is a mixture of a mesoscopic distribution of global change in the speckle pattern and the distribution for v for Gaussian random fields. When v is normalized by the standard deviation of the fractional intensity change, probability distributions and correlation function of v approach those for random Gaussian fields. These results are directly analogous to the statistics of transmitted intensity normalized by the total transmission and provide a unified framework for understanding statistics of speckle evolution and intensity.
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