The beam wander of a partially coherent Airy beam in a turbulent atmosphere was investigated. By using the extended Huygens–Fresnel integral, as analytical expression is derived for the second-order moment of a partially coherent Airy beam. Based on the theory proposed by Andrews, a general expression is obtained for the beam wander of a partially coherent Airy beam. With the help of the expression, various factors which impact on the beam wander are illustrated numerically. The results show that the beam wander of a partially coherent Airy beam decreases with the increase of the characteristic scale and the decrease of the coherent length or the exponent truncation factor. The value of the beam wander is a maximum when the exponent truncation factor is 0.63, no matter what the coherent lengths are. Our results provide an effective way to control the beam wander of a partially coherent Airy beam in practice.

中文翻译：

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部分相干艾里光束的光束漂移

研究了湍流大气中部分相干艾里光束的光束漂移。通过使用扩展的惠更斯-菲涅耳积分，推导出部分相干艾里光束的二阶矩的解析表达式。基于安德鲁斯提出的理论，得到了部分相干艾里光束的光束漂移的一般表达式。借助表达式，对影响光束漂移的各种因素进行了数值说明。结果表明，部分相干艾里光束的光束漂移随着特征尺度的增加和相干长度或指数截断因子的减小而减小。无论相干长度是多少，当指数截断因子为 0.63 时，光束漂移值都是最大值。