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。

For adaptive optics with curvature sensor, a close- loop wavefront correction technique based on eigenfunctions of laplacian is introduced, and the wavefront correction error is analyzed theoretically. A numerical simulation model of 61 element adaptive optics is setup. The simulations of atmospheric turbulence wavefront aberration correction are carried out. The numerical simulation results are in agreement with the theoretical analysis results, which show that the close-loop correction accuracy is lower when the amount of eigenfunctions modes is less or more because of the mode coupling increment. Finally, by analyzing the relationship between the mode amount and the condition number of retrieval matrix, a simple and practical method is proposed to choose the proper mode amount.