Tuning the intensity statistics of random speckle patterns**Project supported by the National Natural Science Foundation of China (Grant No. 61702347), the Natural Science Foundation of Hebei Province, China (Grant No. F2017210161), and Education Department of Hebei Province, China (Grant No. QN2017132).

Abstract

Speckle patterns are a fundamental tool in a variety of physical and optical applications. Here, we investigate a method of precisely tuning the intensity statistics of random speckle patterns into a desirable pattern that possesses the same spatial correlation length and similar statistics distribution. This tuning mechanism relies on the derivation of the transform function and transmission matrix, which achieves different contrasts while maintaining the same average value or energy level. The statistics properties of the generated speckle patterns are further investigated by analyzing the standard deviation under different fitting parameters. Precisely tuning the intensity statistics of random speckle patterns could be useful for both fundamental research and practical applications, such as microscopy, imaging, and optical manipulation.