Based on the most widely used proportional-integrator controller of the tip-tilt correction loop in an adaptive optical system, the relationship between the optimal closed-loop bandwidth and the atmosphere turbulence as well as the sensor noise is analyzed. Numerical simulation is also performed by using the time serial signals that follow the power spectrum density of the global tilt of Kolmogorov turbulence. Results show that with different atmosphere turbulences and sensor noises, the correction capability of the tip-tilt correction loop can be brought into full play by choosing appropriate closed-loop bandwidth and the residual variance can be reduced.%基于实际自适应光学系统倾斜校正回路最常使用的比例积分控制器,分析了最优闭环带宽与大气湍流、测量噪声之间的关系。利用满足Kolmogorov湍流整体倾斜功率谱密度的时间序列进行了相关的数值仿真。结果表明,根据不同湍流强度及测量噪声选择合适的闭环带宽,可以充分发挥自适应光学系统倾斜校正回路的闭环校正能力,减小闭环残差。
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