基于Matlab的变焦光学系统设计

为了降低变焦距系统设计时对经验的过度依赖，提出用Matlab仿真分析来分配变焦系统各组元光焦度。以组元之间的间隔为初始量，把变倍组的物距作为自由量，通过计算公式求出满足间隔要求的光焦度分配和组元运动形式。并通过Matlab仿真，画出变焦过程中各组元移动轨迹，分析各组元偏角、视场角等因素对系统复杂程度的影响，合理分配各组的光焦度，最后制定出初始结构。对没有经验的设计者，是一种很好的方法。为了验证该方案的可行性，设计一个14×正组补偿型变焦系统，所设计系统优化后的光焦度分配值和计算的结果很接近。

Abstract

A method which can well distribute optical power of each component of zoom system through analysis of Matlab to bring down excessive dependence on experiences is proposed. We treat the gaps between each component as the initial configuration, and the object distance of zoom group as free parameters, then find out the optical power distribution and movement type which meet the space requirement. Matlab simulation can draw mobile trajectory of each component in the process of zooming and analyze the drift angle, field angle and other factors affect on the system complexity, which may help to achieve the reasonable allocation of optical power and initial configuration. It is a wonderful idea for the green hands. A 14× zoom optical system is designed, and its optimized optical power allocation is close to the results of calculation using Matlab, which may verify the feasibility of the scheme.

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