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建立了利用模式法（Ｚｅｒｎｉｋｅ多项式展开法）对自适应光学系统进行数值模拟的理论模型，编制了计算程序，并与激光大气传输计算程序衔接起来，进行了大量数值模拟计算。首次发现：存在泽尼特（Ｚｅｒｎｉｋｅ）多项式展开的最佳项数，大于一定项数的展开式的效果迅速变坏，竖排和斜排的泽尼特多项式展开有类似的结果，文献中认为可以采用的１５项泽尼特多项式展开的效果不好，最佳项数随着横向风速的增加而减小，在风速较大时最佳项数下的模式法结果稍好于直接斜率控制法的结果。
A theoretical model of numerical simulation of adaptive optics system is established by using the mode method (Zernike polynomial expansion method). A calculation program is compiled and connected with the calculation program of laser atmospheric transmission. A large number of numerical simulations are carried out. For the first time, it was found that the optimal number of Zernike polynomials was unfolded, the effect of unfolding more than a certain number of items rapidly deteriorated, and similar results were obtained for the Zenit polynomials of vertical and oblique rows. In the literature, The 15 Zenit polynomials that can be used are unfavorable and the optimal number of items decreases with the increase of lateral wind speed. The results of the mode method with the best number of items with a large wind speed are slightly better than the direct slope control method the result of.