Anomalous beam spreading of Airy vortex beam arrays propagating in a moderate turbulent atmosphere

The effects of transverse displacement parameter d and topological charge (TC) m on the beam spreading (BS) of Airy vortex beam array (AVBA) and Airy Gaussian vortex beam array (AGVBA) propagating in a moderate turbulent atmosphere are analysed and studied numerically. Due to the Gaussian function truncation and optical vortex modulation, the behaviours of the BSs of AVBA and AGVBA in turbulent atmosphere are anomalous. Compared with the AVBA, the BS of lower order AGVBA is less affected by atmospheric turbulence when d is small but more affected when d is large. With the increase of m, the BSs of two vortex beam arrays decrease nonlinearly and AVBA is broadened more seriously by atmospheric turbulence than that of AGVBA as d is set to be zero. Compared with AGVBA, the BS of AVBA with lower TC is less affected by atmospheric turbulence but more seriously affected with higher TC.