Twisted hyperbolic-sine-correlated beams.

In this study, a novel class of spatially non-uniformly correlated beams called twisted hyperbolic-sine-correlated (THSC) beams is introduced. The coherence structure of such beam sources is characterized by a hyperbolic sine function with a high-order twist phase embedded in its argument. The propagation properties of the THSC beams are numerically examined in detail. Our results reveal that the order numbers and twist factor of the twist phase has a significant effect on the spectral density and orbital angular momentum (OAM) flux density upon propagation, and they can be used to control the formation of certain specific far-field intensity profiles such as doughnut shape, rectangular window shape, and dumbbell-like shape, as well as the OAM flux distributions such as windmill-like shape. In addition, the THSC beams under certain order numbers may possess peculiar propagation characteristics such as diffraction-effect suppression, lateral shift of intensity maxima and beam spot rotation. Further, we have established a flexible yet compact experimental system to synthesize such kind of beam sources. The evolution properties of the intensity distribution are investigated and analyzed in the experiment.