Identification and generation of different statistical distributions of light using Gamma modeling

Abstract

Abstract Correlation measurement or calculation is typically used to classify the antibunched, bunched or superbunched light with the second-order coherence degree, and it does not alone constitute a distinguishable metric to characterize what kind of statistical distributions. Since the statistical distributions of many commonly used classical light sources can be characterized by general Gamma distribution, here we propose a new mechanism to directly identify and generate classical light with different correlation properties by Gamma modeling from statistics rather than correlation. Experimental verification of beams from four-wave mixing process agrees with this mechanism, and the influences of temperature and laser detuning on the measured results are investigated. The proposal provides a new approach to efficiently identifying different correlated light from statistics rather than correlation, more importantly, it can flexibly design and generate the required correlated light meeting various optical application using the presented rules.