| 基于龙格库塔法解析双液体变焦透镜的初始特性 |
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| 引用本文： | 汤征洋,彭润玲,陈家璧,庄松林.基于龙格库塔法解析双液体变焦透镜的初始特性[J].上海理工大学学报,2016,38(4):352-356. |
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| 作者姓名： | 汤征洋 彭润玲 陈家璧 庄松林 |
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| 作者单位： | 上海理工大学 光电信息与计算机工程学院, 上海 200093;上海理工大学 光电信息与计算机工程学院, 上海 200093;上海理工大学 光电信息与计算机工程学院, 上海 200093;上海理工大学 光电信息与计算机工程学院, 上海 200093 |
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| 基金项目： | 国家973计划资助项目（2005CB724304）；国家自然科学基金资助项目（60778031） |
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| 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质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.
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| 关 键 词： | 双液体变焦透镜 非球面 龙格库塔法 |
| 收稿时间： | 2015/10/12 0:00:00 |
Analysis on the Initial Property of Double-liquid Lens Based on Runge-Kutta Method |
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| TANG Zhengyang,PENG Runling,CHEN Jiabi and ZHUANG Songlin.Analysis on the Initial Property of Double-liquid Lens Based on Runge-Kutta Method[J].Journal of University of Shanghai For Science and Technology,2016,38(4):352-356. |
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| Authors: | TANG Zhengyang PENG Runling CHEN Jiabi and ZHUANG Songlin |
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| Institution: | School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| 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 aspheric surface and it can perform better than the one without density difference,which makes double-liquid lens more potential in the field of mini optical system. |
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| Keywords: | double-liquid lens aspheric surface Runge-Kutta method |
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