The quality factor of a partially coherent Airy beam in a turbulent atmosphere is investigated with the help of the extended Huygens–Fresnel integral formula and the Wigner distribution. From the numerical results, based on the analytical formula, we find that increasing the inner scale or decreasing the structure constant of the refractive index fluctuations of the turbulent atmosphere tends to decrease the quality factor of a partially coherent Airy beam in a turbulent atmosphere. Moreover, it is found that increasing the scale factor and wavelength or decreasing the coherent length of a partially coherent Airy beam can also be used to decrease the quality factor of a partially coherent Airy beam in a turbulent atmosphere. However, the quality factor of a partially coherent Airy beam in a turbulent atmosphere has a maximum when the exponential truncation factor of a partially coherent Airy beam is 0.63. Our results will be useful in long-distance free-space optical communications and laser defense.

中文翻译：

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湍流大气中部分相干艾里光束的品质因数

借助扩展的惠更斯-菲涅耳积分公式和维格纳分布，研究了湍流大气中部分相干艾里光束的品质因数。从数值结果中，基于解析公式，我们发现增加湍流大气折射率涨落的内尺度或减小结构常数，往往会降低湍流大气中部分相干艾里光束的品质因数。此外，发现增加比例因子和波长或减小部分相干艾里光束的相干长度也可用于降低湍流大气中部分相干艾里光束的品质因数。然而，当部分相干艾里光束的指数截断因子为0.63时，部分相干艾里光束在湍流大气中的品质因数最大。我们的结果将在长距离自由空间光通信和激光防御中有用。