Spiral spectrum of a ring Airy vortex beam and a ring Airyprime vortex beam in atmospheric turbulence and a comparative analysis of their bit error rate and channel capacity

Atmospheric turbulence significantly affects the propagation of light beams, which in turn impacts the quality of optical communication systems. However, the autofocusing beam is helpful in improving the propagation stability, resulting in better optical communication performance. In this paper, we have investigated the propagation characteristics of a ring Airy vortex beam (RAVB) and a ring Airyprime vortex beam (RAPVB) using a multiple random phase screens model, and the communication performance is a main focus of study, including orbital angular momentum crosstalk, channel capacity, and bit error rate. Quantitative analysis under moderate turbulence reveals that RAVB maintains a mode purity of 89.5% compared with 79.9% for RAPVB. The influences of atmospheric turbulence on the propagation stability and communication performance are discussed, and our results demonstrate that RAVB offers better performance than RAPVB under turbulent conditions. This work provides a pioneering comparative analysis of RAVB and RAPVB, offering valuable insights and tools for improving optical communication in turbulent environments.