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针对波前曲率传感自适应光学,介绍了基于拉普拉斯算子本征模式的波前闭环校正原理,理论分析了波前校正误差。建立了61单元自适应光学数值仿真模型,进行了大气湍流波前畸变闭环校正数值仿真。仿真结果与误差理论分析一致,当模式数量较少时闭环校正精度较低,而数量过多时产生的模式耦合误差也会导致校正误差增大。通过分析模式数量与复原矩阵的条件数之间的关系,给出了一种简便的最佳模式数量选择方法。
Aiming at wavefront curvature sensing adaptive optics, the principle of wavefront closed-loop correction based on Laplacian eigenmode is introduced, and the wavefront correction error is theoretically analyzed. A 61-element adaptive optics numerical simulation model is established and the numerical simulation of atmospheric turbulence wave front distortion closed-loop correction is carried out. The simulation results are consistent with the theoretical analysis of the error. When the number of modes is small, the accuracy of the closed-loop correction is low, while the mode coupling error caused when the number is too large also leads to the increase of the correction error. By analyzing the relationship between the number of modes and the condition number of the recovery matrix, a simple and convenient method for selecting the optimal modes is given.