Difference of two sinc Schell-model cross-spectral density matrices

We propose a convenient method for modeling what we believe to be novel classes of cross-spectral density (CSD), in which the difference between two CSD matrices belonging to the same class represents a supposed novel valid CSD matrix under sufficient conditions. Using such a method, we introduce what we think is a new class of CSD matrix relating to the difference of two sinc Schell-model CSD matrices, and derive the sufficient conditions for the non-negative definiteness of the resulting CSD matrix. The statistical characteristics of such electromagnetic stochastic beams propagating in free space were investigated using weighted superposition and numerical simulation methods. It is demonstrated that this new light fields with any admissible choice of source parameters possess very peculiar evolution characteristics. The results illustrate new opportunities for study new classes of electromagnetic stochastic beams.