Determining the parameters of the laser radiation intensity limiter based on a time-dependent equation of radiative transfer in a nonlinear medium

The effect of the radiation intensity limitation is described using the time-dependent radiative transfer equation taking into account the nonlinearity of the working material of the limiter, which makes it possible to abstract from specific microscopic mechanisms of interaction of radiation with matter. An expression is presented which describes both the deformation of the shape of the laser pulse propagating through a nonlinear medium and the output characteristic (dependence of the output energy on the energy of incident radiation) of the limiter at a known dependence of the absorption coefficient on the laser pulsed radiation intensity with a given pulse shape. A functional equation is derived to determine the dependence of the absorption coefficient on the intensity from the experimental output characteristic, which allows one to predict the limiter properties for different thicknesses of the working medium, as well as to effectively compare limiters of different types.