为了研究受遮挡贝塞尔-高斯光束在湍流大气中传输时质量因子的特性, 基于拓展的惠更斯-菲涅耳原理和维格纳分布函数的二阶矩定义, 经理论推导得出受遮挡贝塞尔-高斯光束的解析表达式, 并进行了相应的数值计算。结果表明,当遮挡物尺寸不大于0.4倍的腰宽时, 受遮挡贝塞尔-高斯光束在湍流大气中的传输质量因子随传播距离、湍流大气结构常数的增大而增大, 随着湍流内标量、光束拓扑荷数的增大而减小。在相同条件下, 光束的传输质量因子随着遮挡物尺寸的增大而增大。所得结论对实际激光传输和自由空间光通信有一定的参考价值。

In order to study the propagation properties of the disturbed Bessel-Gaussian beam in turbulent atmosphere, based on the extended Huygens-Fresnel principle and the second-order moments of the Wigner distribution function, the formulas of M2 factor for the disturbed Bessel-Gaussian beam were derived by theoretical calculation analysis, and the corresponding numerical calculation was carried out. The results show that, when the size of obstruction is not more than 0.4 times of beam width, the propagation factor of Bessel-Gaussian beam in turbulent atmosphere would increase with the increasing of the propagation distance and atmospheric structure constant, and decrease with the increasing of the inner scale of turbulence and topological charge indexes. Under the same condition, the propagation factor of Bessel-Gaussian beam in turbulent atmosphere increases with the increase of the size of obstruction. These results have certain reference value in free space optical communication and actual laser transmission.