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

Correlation measurement or calculation is typically used to classify the antibunched, bunched, or superbunched light with the degree of second-order coherence. However, it cannot characterize and identify the statistical distribution type of light. Since the statistical distributions of many classical light sources can be characterized by the generalized Gamma distribution, here we propose a new method to directly identify and generate classical light with different correlation properties by Gamma modeling from statistics rather than correlation. Experimental verification of beams from a four-wave mixing process agrees with this method, and the influences of temperature and laser detuning on the measured results are investigated. The proposal demonstrates an efficient approach to classifying and identifying classical light sources using Gamma modeling. More importantly, it can flexibly design and generate the required correlated lights meeting various optical applications according to the presented rules.