超大视场、全景成像光学系统的建立还没有像差理论指导。本课题提出发展这类系统像差理论的新思路：以分离方式求解像场像差和孔径像差。建立主光线传输方程计算像场像差；应用吕丽军发展的平面对称光学系统的像差理论解决任意视场物点的孔径像差；基于这两种像差提出了此类光学系统的像质评价函数。它克服了用传统小视场光学系统像差处理方法来发展超大视场系统像差将导致像差级数无法收敛的难题。课题基于上述原创性思想开展以下研究：1）发展超大视场、全景成像光学系统的像差分析及控制理论；开展评价函数、优化算法等研究；2）开展此类光学系统设计中相关问题的研究：如何通过像差分析确定光学系统的初始参数、优化光学系统设计、发展新型成像光学系统；并建立光学系统像差分析和优化设计的软件平台。这项研究将为鱼眼镜头、折反射全景成像系统、全景环形透镜及光束斜入射下折反射组合光学系统的设计提供新的理论分析方法和技术手段。

The establishment of ultra-wide-angle and panoramic optical systems is still lack of the guidance of aberration theory. The research project presents a new idea to develop the aberration theory of this type of optical systems: to find the image-field and aperture-ray aberrations separately. The transfer equation of the chief ray is set up and can used to determine the image-field aberrations of the optical systems; the aperture-ray aberrations are calculated with the aberration theory of plane-symmetric optical systems developed by the author. Based on the two types of aberrations, we present a merit function of such type of optical systems. It overcomes the problem of divergence of the aberration series of ultra-wide-angle optical systems if developed with the conventional aberration analysis method of small field-angle ones. Based on our original method, the project is going on the following studies: 1) developing the theory of aberration analysis and aberration control for ultra-wide-angle and panoramic optical systems, studying the merit function and the arithmetic for optimization design and so on; 2) studying the issues related to design of the of optical systems: how to make use of aberration analysis to determine the initial parameters of the optical systems, to optimize the optical system design and to develope noval imaging systems； finally setting up the software bench for aberration analysis and optimization design. The research project will provide a new method for theoretical analysis and a measure for the design of fisheye lens, catadioptric panoramic imaging systems, panoramic annular lens (PAL) as well as catadioptric optical systems under oblique incidence of light beam.