基于Andrews和Philips的经典漂移方差模型, 结合部分相干艾里光的交叉谱密度函数和Tatarskii功率谱, 推导出部分相干艾里光在大气中传输时的光束扩展和漂移解析式, 对比分析了不同的衰减因子、湍流强度和相干度等参数对部分相干艾里光的光束扩展和漂移的影响, 并与高斯光束所得结果进行了比较.研究表明: 衰减因子、湍流强度和相干度等对光束漂移影响较大, 当它们的取值增大时, 漂移越严重; 内尺度对光束漂移几乎没有影响; 在相同的条件下, 艾里光束的光束漂移要比高斯光束小两个数量级, 且其本身具有自恢复特性和较强的抑制湍流特性.

Based on Andrews and Philips classical wander variance model, combining with the cross spectral density function of partially coherent light Airy and Tatarskii power spectrum, the coherent analytical formulas of expansion and wander of Airy beam in atmosphere transmission were deduced. The influence of the parameters such as the different truncation, the turbulence intensity and the coherence on the expansion and wander of Airy beam was analyzed. Then the results were compared with the results of Gaussian beam. The study has shown that, the different truncation, turbulence intensity and coherence have the bigger influence on beam wander, the more their value is, the more serious the wander will be. The inner scale has so little effect on the beam wander that can be ignored. Under the same conditions, Airy beam wander is two orders of magnitude smaller than that of the Gaussian beam, and itself has self recovery characteristic and strong inhibition of turbulence characteristic.