Simultaneous generation of multiple orbital angular momentum (OAM) modes using a single phase-only element

Based on the conventional iterative algorithm, we present a pattern search assisted iterative (PSI) algorithm to simultaneously generate multiple orbital angular momentum (OAM) modes using a single phase-only element. The PSI algorithm shows a favorable operation performance for generating 100 randomly spaced OAM modes and 50 evenly spaced OAM modes with high diffraction efficiency (>93%), low relative root-mean-square error (R-RMSE) and low standard deviation. Moreover, we can also manipulate the relative power distribution of the generated OAM modes simply by setting the initial weight coefficients in the PSI algorithm.