为比较两种不同类型涡旋光束在大气湍流中的传输特性,利用菲涅耳衍射积分公式,推导了涡旋光束在湍流大气中的传输表达式。采用随机相位屏法建立了涡旋光束在大气湍流中的传输模型,计算了不同参数下涡旋光束的强度分布以及光束质量。结果表明:传输距离、拓扑荷数和湍流强度都会对涡旋光束光束质量产生影响。其中,传输距离对超高斯涡旋光束的光束质量的影响更大,而拓扑荷数则对高斯涡旋光束的光束质量的影响更明显。

To compare the propagation characteristics of super Gaussian vortex beam with Gaussian vortex beam in air, the transmission equation of these beams in a turbulent atmosphere are deduced by using the Fresnel diffraction integral formula. Using the random phase screen method, an atmospheric turbulence analysis model is established, and intensity distributions and beam quality are calculated for vortex beams with different parameters. Results indicate that beam quality is influenced by topological charge, transmission distance, and turbulence intensity. Among these factors, transmission distance has the most obvious effect on beam quality for a super Gaussian vortex beam, whereas topological charge has a more obvious effect on Gaussian vortex beam quality.