根据Zernike模式在单位圆的同心孔径圆域内某些模式间具有一定耦合性的结论及对应Zernike模式像差在一定同心光瞳区域内的相互抵消特性, 对具有相同角频率不同阶数的Zernike模式建立组合模型, 同时根据同心光瞳区域内像差均方根值的降幅比参数给出了同心光瞳直径为4 mm时的Zernike模式线性共轭组合模型。最后通过共轭组合模型对光学质量影响的研究发现, 共轭模型组合之后能显著提高光学质量。同时也表明Zernike模式组合对光学质量的影响不具备叠加性, 而对共轭组合模型表现为补偿关系。

According to the certain coupling between some Zernike modes in the concentric aperture circle within the unit circle, as well as the counterbalance between each other of the corresponding Zernike modes aberration in certain concentric pupil region, the combined models of Zernike modes are created. According to the decreasing amplitude ratio parameter of aberration RMS in the concentric pupil region, the linear conjugated models of Zernike modes aberration at 4 mm concentric pupil diameter are presented. Each model shares the characteristics of 2 radial orders apart, the same azimuth frequency, the same coefficient sign and the prescribed amount. Through the analysis on the influence of conjugated models on optical quality, it is found that the optical quality is improved significantly after combination. It indicates that the influence of conjugated models’ combination on optical quality doesn’t have superposition, but presents as compensation. Making use of the conjugated models in adaptive optics, the spatial compensation ability of the deformable mirror can be improved, which can undoubtedly inaugurate the new ideas for the correction theory of human eye aberration.