液体透镜变焦系统高斯理论分析
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摘要
基于液体透镜的变焦系统不需要移动光组即能实现变倍的功能,这种变倍工作方式可应用于具有特定需求的成像系统,近年来备受关注。探讨了液体透镜参数(变焦范围,通光口径)对变焦系统变焦性能的影响,从理论上得到了液体透镜变焦系统最大变倍比以及最大视场角的计算公式。根据理论计算的结构,求得该结构下液体透镜变焦系统的变焦曲线表达式。从变焦曲线可知,系统从短焦向长焦方向变化时,系统变倍比增长速度越快,系统焦距变化越灵敏。利用上海理工大学研发的液体透镜进行仿真,设计了一款变倍比为6,全视场角为60°的液体透镜变焦系统高斯结构。该设计不仅验证了理论推导的正确性,也可作为实际液体透镜变焦系统的初始结构。
Zoom system based on liquid crystal lenses can realize zoom without moving elements.This zoom working mode is applicable to some specific imaging systems,and has attracted much attention in recent years.The effects of liquid crystal lens parameters including zoom range and clear aperture on zooming performance of zoom system are studied.The calculation formulas of the maximum zoom ratio and the maximum field of view of the liquid crystal lens zoom system are theoretically obtained.According to the theoretically calculated structure,the zoom curve expression of the zoom system is obtained.The zoom curve shows that the zoom ratio grows faster and the focal length varies more sensitively when the system changes from short focus to long focus.Using the liquid crystal lenses developed by the University of Shanghai for Science and Technology,we design a Gauss model of liquid crystal lens zoom system with zoom ratio of 6 and full field of view of 60°.The design does not only verify the theoretical derivation,but can also be used as the initial structure of an actual liquid crystal lens zoom system.
Zoom system based on liquid crystal lenses can realize zoom without moving elements.This zoom working mode is applicable to some specific imaging systems,and has attracted much attention in recent years.The effects of liquid crystal lens parameters including zoom range and clear aperture on zooming performance of zoom system are studied.The calculation formulas of the maximum zoom ratio and the maximum field of view of the liquid crystal lens zoom system are theoretically obtained.According to the theoretically calculated structure,the zoom curve expression of the zoom system is obtained.The zoom curve shows that the zoom ratio grows faster and the focal length varies more sensitively when the system changes from short focus to long focus.Using the liquid crystal lenses developed by the University of Shanghai for Science and Technology,we design a Gauss model of liquid crystal lens zoom system with zoom ratio of 6 and full field of view of 60°.The design does not only verify the theoretical derivation,but can also be used as the initial structure of an actual liquid crystal lens zoom system.
引文
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11 Wang Dazhen,Peng Runling,Chen Jiabi,et al.Variable-focus hysteresis of double-liquid variable-focus lens[J].Acta Optica Sinica,2011,31(6):0612001.王大振,彭润玲,陈家壁,等.双液体变焦透镜变焦迟滞现象的研究[J].光学学报,2011,31(6):0612001.
12 Sheng Jinxia,Peng Runling,Chen Jiabi.Analysis on property of the double-liquid zoom lens based on electrowetting[J].Optics Instrument,2007,29(4):23-26.绳金侠,彭润玲,陈家壁.电湿效应双液体变焦透镜性能的分析[J].光学仪器,2007,29(4):23-26.
13 Zhang Yimo.Applied optics[M].Beijing:Publishing House of Electronics Industry,2008:43-53.张以漠.应用光学[M].北京:电子工业出版社,2008:43-53.
14 Pan Yijun,Li Xiangning,Li Qiang,et al.Gauss optical analysis of double-liquid lens zoom system[J].Journal of Applied Optics,2016,37(2):199-201.潘逸君,李湘宁,李强,等.双液体透镜变焦系统的高斯光学分析[J].应用光学,2016,37(2):199-201.
2 Yen C T,Shih J M.A study of optical design on 9×zoom ratio by using a compensating liquid lens[J].Applied Sciences,2015,5:608-621.
3 Shi Guangfeng,Yang Bin,Shi Guoquan,et al.A review of the development of high-speed liquid lens[J].Infrared Technology,2014,36(10):777-781.石广丰,杨彬,史国权,等.高速变焦液体透镜的发展动态综述[J].红外技术,2014,36(10):777-781.
4 Peng Runling,Chen Jiabi,Zhuang Songlin.Design and analysis of a variable-focus optical system based on electrowetting[J].Acta Optica Sinica,2008,28(6):1141-1146.彭润玲,陈家璧,庄松林.电湿效应变焦光学系统的设计与分析[J].光学学报,2008,28(6):1141-1146.
5 Wang B,Ye M,Sato S.Liquid crystal lens with focal length variable from negative to positive values[J].IEEE Photonics Technology Letters,2006,18(1):79-81.
6 Ren H W,Wu S T.Variable-focus liquid lens[J].Optics Express,2007,15(10):5931-5936.
7 Lee S,Choi M,Jung K D.Zoom lens design liquid using liquid lens for laparoscope[J].Optics Express,2013,21(2):1751-1761.
8 Zhang Ying.Research on zoom lens design with liquid lenses[D].Changchun:Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,2012.张鹰.基于液体透镜的变焦距光学系统研究[D].长春:中国科学院长春光学精密机械与物理研究所,2012.
9 Zhang Ying,Zhang Xin,Shi Guangwei,et al.Applications of liquid lens in zoom systems[J].Chinese Optics,2013,6(1):46-56.张鹰,张新,石广维,等.液体透镜在变焦系统中的应用[J].中国光学,2013,6(1):46-56.
10 Zhu Cheng,Peng Runling,Chen Jiabi.Double-liquid lens based on electrowetting[J].College Physics,2007,26(6):57-62.祝澄,彭润玲,陈家壁.基于电湿效应的双液体透镜[J].大学物理,2007,26(6):57-62.
11 Wang Dazhen,Peng Runling,Chen Jiabi,et al.Variable-focus hysteresis of double-liquid variable-focus lens[J].Acta Optica Sinica,2011,31(6):0612001.王大振,彭润玲,陈家壁,等.双液体变焦透镜变焦迟滞现象的研究[J].光学学报,2011,31(6):0612001.
12 Sheng Jinxia,Peng Runling,Chen Jiabi.Analysis on property of the double-liquid zoom lens based on electrowetting[J].Optics Instrument,2007,29(4):23-26.绳金侠,彭润玲,陈家壁.电湿效应双液体变焦透镜性能的分析[J].光学仪器,2007,29(4):23-26.
13 Zhang Yimo.Applied optics[M].Beijing:Publishing House of Electronics Industry,2008:43-53.张以漠.应用光学[M].北京:电子工业出版社,2008:43-53.
14 Pan Yijun,Li Xiangning,Li Qiang,et al.Gauss optical analysis of double-liquid lens zoom system[J].Journal of Applied Optics,2016,37(2):199-201.潘逸君,李湘宁,李强,等.双液体透镜变焦系统的高斯光学分析[J].应用光学,2016,37(2):199-201.