中文摘要：

介绍了一种相对简单的、基于赛德尔像差理论的四反射镜机械补偿红外变焦距系统的光学设计方法.该方法的实现包括对单个反射镜成像规律的研究、变焦系统机械补偿的概念以及反射变焦系统赛德尔像差系数解析表达式的推导.该方法的优点在于,通过求解赛德尔像差方程组可以得到系统的初始结构参数,如各个镜子的曲率半径和间隔等.两个设计实例的结果表明,这种设计方法在设计大变倍比红外反射变焦系统时是可行的.

英文摘要：

A relatively simple optical method based on Seidel aberration theory was presented for the design of mechanically compensated infrared reflective zoom systems with 4 mirrors. This research includes the study of image formation rules by a single mirror, the concept of the mechanical compensation method in zoom systems, and the derivation of analytical formulae for the Seidel aberration coefficients. The advantage of this method is that it allows the designer to achieve the initial structure parameters of the optical system （radii of curvature and separations between mirrors, etc.） by solving a set of Seidel aberration coefficient functions. Two design examples of 4-mirror zoom systems were given. The results show that the proposed method is feasible in the design of infrared reflective zoom systems with large zoom ratios.