一、前言本文阐述一种用哈密顿特性函数计算对称光学系统高级象差的方法。证明,当系统的角特性(即程函)已知时,可求出横向象差(三级到九级象差)。在文献中,我们应用数学法描述了普通光学系统在轴对称特殊情况下的成象特性。在另一篇将要发表的论文中,我们将说明,如何根据光学系统部件的程函得到 I. INTRODUCTION This paper describes a method for calculating advanced aberrations of a symmetric optical system using the Hamiltonian characteristic function. Prove that when the angular characteristic of the system (that is, the process function) is known, lateral aberration (three to nine aberrations) can be obtained. In the literature, we describe the imaging behavior of ordinary optical systems in axial symmetric special cases using mathematical methods. In another essay to be published, we will show how to derive from the procedures of optical system components