Propagation characteristics of a ring Airyprime vortex beam and an Airyprime vortex beam array in atmospheric turbulence

Based on the model of multiple random phase screens of atmospheric turbulence, the optical fields of a ring Airyprime vortex beam (RAPVB) and an Airyprime vortex beam array (APVBA) propagating in atmospheric turbulence are expressed in the form of operators. The effect of the refractive index structure constant on normalized light intensity and vortex phase for a RAPVB and an APVBA propagating in atmospheric turbulence is examined. The influences of the atmospheric propagation distance, the refractive index structure constant, and the topological charge on the target orbital angular momentum (OAM) power proportion of a RAPVB and an APVBA are analyzed. Anyway, the topological charge initially carried by a RAPVB and an APVBA can be successfully detected on the observation plane. This study indicates that a RAPVB and an APVBA with the saturated beam number are equivalent when used for analysis of target OAM power proportion. Further, this study is beneficial to the optimal design of atmospheric optical communication (AOC) systems. A RAPVB is more suitable for short distance AOC, while an APVBA is more suitable for long distance AOC.