光子轨道角动量的本征态是无穷维的，以轨道角动量作为信息的载体可以极大地增加量子密钥分发的安全性，然而大气湍流的随机起伏会导致传输光波的波前发生扭曲、振幅发生起伏，严重影响以光子轨道角动量编码的通信系统的安全性。通过理论分析单光子轨道角动量态传输经过non-Kolmogorov湍流后输出态的条件概率获得大气湍流对单光子轨道角动量态的影响信息。研究结果表明,光束参数一定的条件下，湍流的内尺度和谱指数越大或折射率结构常数和湍流的外尺度越小对光子轨道角动量的影响越小。

The eigen state of the photon orbital angular momentum is infinite, so it can greatly increase the security of quantum key distribution by using orbital angular momentum as the carrier of information. However, the random fluctuation of atmospheric turbulence causes the fluctuation of the refractive index of turbulent media, which leads to the wavefront distortion and amplitude fluctuation of the transmitted vortex beam, which has a great influence on the communication system of the orbital angular momentum coding. This paper is mainly about the influence of turbulent atmospheric on orbital angular momentum (OAM) of single photon. The results show that the larger the spectral index of turbulence and the larger the inner scale or the smaller the external scale and refractive index structure constant of turbulence have less influence on OAM of single photon.