为了研究部分相干反常涡旋光束在各向异性大气湍流中的漂移特性, 基于各向异性非Kolmogorov大气湍流谱模型, 利用几何光学近似与Rytov近似解得到了部分相干反常涡旋光束(PCAVB)在各向异性湍流中传输的光束漂移解析式, 并对该漂移解析式进行数值模拟。研究了拓扑荷、相干长度、各向异性因子、折射率结构常数等光束参量及湍流参量对PCAVB在湍流中的均方根光束漂移与相对光束漂移的影响。结果表明, 相干性越好的反常涡旋光束, 会使光束在各向异性湍流中的漂移现象变得更严重; 随拓扑荷数的增加, 可以一定程度降低湍流对光束漂移的影响; 湍流随各向异性因子的增大, 对部分相干反常涡旋光束的漂移影响明显减弱; 广义指数参量在3~3.3范围增长时, 对PCAVB均方根漂移与相对漂移影响最大, 而在3.3~4之间增长时, 对光束均方根漂移与相对漂移影响逐渐减弱。此研究对反常涡旋光束在各向异性大气湍流中的传输提供了一种理论模型参考。

In order to study the wander characteristics of partially coherent anomalous vortex beams in anisotropic atmospheric turbulence, based on the anisotropic non-Kolmogorov atmospheric turbulence spectrum model, the analytical expression of the beam wander of partially coherent anomalous vortex beam (PCAVB) propagating in anisotropic turbulence was obtained by using the geometrical optics approximation and Rytov approximation, and the numerical simulation was carried out at the same time. The effects of beam parameters and turbulence parameters such as topological charge, coherence length, anisotropy parameters, refractive index structure constant on root-mean-square beam wander, and relative beam wander of PCAVB in turbulence were studied. The results show that the more coherent the anomalous vortex beam is, the more serious the wander of the beam in the anisotropic turbulence will be. With the increase of topological charge, the influence of turbulence on beam wander can be reduced to some extent. The influence of turbulence on the wander of partially coherent anomalous vortex beams is obviously reduced with the increase of anisotropic factor. When the generalized exponential parameter increases in the range of 3~3.3, it has the largest influence on PCAVB root-mean-square wander and relative wander, while when it increases in the range of 3.3~4, the influence on beam root-mean-square wander and relative wander gradually weakens. This study provides a theoretical reference model for the propagation of anomalous vortex beam in anisotropic atmospheric turbulence.