像差理论是光学系统成像分析和设计的重要手段。本项目针对超大视场大孔径光学系统，基于平面对称光学系统四阶波像差理论的框架，发展超大视场光学系统的六阶波像差理论：1）以超环面为参考波阵面，导出超大视场光学系统的六阶本征波像差及五阶像差表达式；2）提出发展六阶衍生波像差的新思路，并导出相应表达式；3）光线光瞳坐标在光学面之间的传递关系以二阶精度处理，满足此类光学系统大孔径成像对波像差计算精度的要求。另外，需进一步发展超大视场光学系统色差波像差和场曲波像差的计算方法，并将六阶波像差理论应用于鱼眼镜头大孔径成像系统的像差平衡和光学结构设计。主要课题包括：1）衍生像差与本征像差的平衡方法；2）分析系统成像性能与其结构及参数之间的关系；3）鱼眼镜头初始结构及参量设计方法；4）发展应用非球面校正像差的新型高性能鱼眼镜头系统。

The aberration theory is a powerful measure to imaging analysis and design of optical systems. Aiming at ultra-wide angle optical systems with large imaging aperture, the project will develop the sixth-order wave aberration theory of it, based on the frame of the fourth-order plane-symmetric wave aberration theory: 1) apply a toroidal surface as reference surface of wave aberration, we derive the expressions of the sixth-order intrinsic wave aberration and fifth-order ray aberration; 2) present the new idea of developing the sixth-order extrinsic wave aberrations and derive their expressions; 3) process the transfer relationship of pupil coordinates of ray between optical surfaces with the second-order polynomial to satisfy the accuracy requirements of wave aberration calculation of such kind of optical systems. In addition, We need to develop the analysis method of wave aberration of color and field curvature, and apply the sixth-order wave aberration theory to study the aberration balance and optical design of the fisheye lens with large imaging aperture; mainly including the following topics: 1) study the balance principle between the higher-order extrinsic aberrations and the intrinsic aberration of fisheye lens; 2) analyze the correlation of aberrations of fisheye lens to its structure and parameters; 3) study the design method of initial structure and initial values of optical parameters of fisheye lens; 4) develop the novel high performance aberration-corrected designs of fisheye lens with aspheric optics.