基于龙格库塔法解析双液体变焦透镜的初始特性.pdfVIP

上 海 理 工 大 学 学 报 第 38卷 第 4期 J. University of Shanghai for Science and Technology Vol .38 No . 4 2016 文章编号：1007 - 6735 (2016) 04 - 0352 - 05 DOI 10.13255/j. cnki. jusst. 2016.04.008： 基于龙格库塔法解析双液体变焦透镜的初始特性 汤征洋， 彭润玲， 陈家璧， 庄松林 (上海理工大学光电信息与计算机工程学院，上 海 200093) 摘要：双液体变焦透镜受电润湿效应驱动，其焦距的变化完全取决于两种液体之间接触面的变化. 通过Yang 方程推导得到描述接触面的微分方程并以此分析双液体变焦透镜内导电液体、绝缘液 体、容器内壁三者间的物理化学性廣对初始接触面形貌及初始特性的影响.利用Matlab结合龙格 库塔法以数值解描述双液体变焦透镜的接触面特性，并且结合具体试剂的物理性质在ZEMAX 中 模拟单透镜成像.最后在实验中对比验证得到，存在密度差的双液体变焦透镜接触面的面型为非球 面，且经过接触面形貌调制的双液体变焦透镜拥有更好的边缘成像质量，使得双液体变焦透镜在小 型化成像系统中有着巨大的应用前景. 关键词 ：双液体变焦透镜；非球面；龙格库塔法 中图分类号： TN 942.2 + 1 文献标志码： A A n a lysis on the In itia l P ro p e rty o f D o u b le -liq u id Lens Based on R u n g e -K u tta M ethod TANG Zhengyang, PENG Runling, CHENJiabi, ZHUANG Songlin ( School o f Optical-Electrical and Computer Engineering, University o f Shanghai fo r Science and Technology 9 Shanghai 20009S , Giina) Abstract ： Double-liquid lens is based on the electro-wetting effect . The focal length of double­ liquid lens is mainly decided by the refractive indexes of the two kinds of liquid and the interface between them . The differential equation describing the interface was derived with the aid of Yang function and on this basis , the influences of the physicochemical properties of conducting liquid , insulating liquid and container on the interface were analyzed . Using Matlab and ZEMAX , the numerical solution was calculated by Runge-Kutta method to describe the property of the initial interface . The results were compared with the experimental ones and prove that the double-liquid lens with density difference will shape the interface into an as