DIFFRACTION OPTICAL-ELEMENTS MATCHED TO THE GAUSS-LAGUERRE MODES

Iterative algorithms are developed for the calculation of a phase opti cal element forming Gauss-Laguerre light beams with a prescribed mode composition, including single-mode beams, and a phase optical element forming Gauss-Laguerre modes in different diffraction orders. It is sh own that phase elements whose transmission is equal to the signum func tion of the corresponding generalized Laguerre polynomial can be used with advantage to form separate Gauss-Laguerre modes. Results of numer ical simulation are presented.