Abstract Statistical distribution of single mode fiber (SMF) coupling efficiency η c with atmospheric compensation is important to evaluate the bit error rate performance of the satellite to ground laser communication (SGLC). The statistical distribution of SMF coupling efficiency with adaptive optics (AO) compensation under different turbulence strength is investigated. When the AO is turned on, the signal beam wavefront root mean square (RMS) value decreases from 0.42 λ to 0.04 λ under the turbulence strength D / r 0 = 7. Simultaneously, the average of coupling efficiency increases from 2.2% to 35.4%. The statistical distribution of SMF coupling efficiency with and without AO correction is consistent with the gamma distribution. In addition, the AO correction can help greatly improve SMF coupling efficiency with high probability. For example, the cumulative probabilities of coupling efficiency P ( η c > 15 % ) is 56.4%, 35.8%, 14.8%, 3.0% and 0.1% without AO correction when the D / r 0 is 3, 5, 7, 9 and 11, respectively. The value is improved to 100%, 100%, 99.9997%, 99.72% and 97.95% with AO correction in the corresponding D / r 0 . The results provide a quantifiable parameter to evaluate the SGLC link performance with AO correction.

中文翻译：

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具有自适应光学补偿的湍流下光纤耦合效率的概率增强

摘要 具有大气补偿的单模光纤（SMF）耦合效率η c 的统计分布对于评估星地激光通信（SGLC）的误码率性能具有重要意义。研究了在不同湍流强度下具有自适应光学 (AO) 补偿的 SMF 耦合效率的统计分布。当AO开启时，在湍流强度D / r 0 = 7下，信号光束波前均方根（RMS）值从0.42 λ减小到0.04 λ。同时，耦合效率的平均值从2.2%增加到35.4% . 有和没有 AO 校正的 SMF 耦合效率的统计分布与伽马分布一致。此外，AO 校正可以帮助大大提高高概率的 SMF 耦合效率。例如，当D / r 0 为3、5、7、9和11时，耦合效率P ( η c > 15 % )的累积概率分别为56.4%、35.8%、14.8%、3.0%和0.1%，无需AO校正. 在相应的 D / r 0 中进行 AO 校正后，该值提高到 100%、100%、99.9997%、99.72% 和 97.95%。结果提供了一个可量化的参数来评估具有 AO 校正的 SGLC 链路性能。