基于三组元可调光焦度器件的变焦光学系统设计

采用矩阵光学理论分析三组元可调光焦度器件的变焦系统的一阶属性，得到了基于系统放大率的光焦度控制方程。结合三组元系统初始参数并以系统球差最小为目标，对其进行了初始结构设计，得到了透镜形状参数的控制函数，然后进行光焦度和像质评价验证计算，最后对设计实例进行了归化对比验证。验证结果表明:对球差最小优化值的求解可信，设计方法为采用可调光焦度器件设计变焦系统提供了参考。

Zoom optical system based on three-element variable focal power devices

Based on the theory of matrix optics, the first-order properties of the zoom system of the three-element variable focal power devices were analyzed, and the control equation of the focal power based on the system magnification was obtained. Combined with the initial parameters of the three-element system and taking the minimum spherical aberration as the objective, the initial structure of the system was designed, the control function of the shape parameters of the lens was obtained, and the focal power and image quality were evaluated and calculated. Finally, the design example was compared and verified. The results show that the solution of the optimal value of the minimum spherical aberration is reliable. The starting point and method of the design provide a theoretical research reference for the further design of zoom system by using variable focal power devices.