Numerical simulation of sensorless adaptive phase correction of regular, vortical, and incoherent multimode laser beams

Some aspects are considered of the phase correction of regular and vortex (speckled) laser beams by a flexible adaptive mirror, with the surface control using the stochastic parallel gradient (SPG) algorithm, without wavefront sensor. It is shown that the optimal choice of the criterion function (metric) and basis functions allows one to improve the phase correction accuracy and the rate of SPG algorithm convergence. A possibility of partial phase correction of incoherent multimode radiation is shown to be implementable, e.g., in a laser cavity with an optically inhomogeneous gain medium.