Mutual influence of spatial and temporal fluctuations of a randomly modulated light pulse in a nonlinear medium

An analytic method of decoupling of physical factors is used to investigate the relationship between the temporal and spatial coherence of a randomly modulated light pulse representing a superposition of a signal and noise in a medium with a local nonlinearity. An analysis is made of the factors that influence the transformation of the spatial and temporal characteristics of a diffracted and spreading light pulse in a nonlinear medium. The relationships governing the mutual influence of the signal and noise, resulting in changes in the regular envelopes and statistical characteristics, are determined.