非等光强正交圆偏振光对液晶偏振光栅衍射特性的影响
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摘要
在实际的制备过程中,不可避免地存在非等光强正交圆偏振光制备液晶偏振光栅的情况。为了探究这种情况对制备出的液晶偏振光栅的衍射特性有何影响,本文首次从理论上,利用琼斯矩阵法推导计算出该情况下液晶偏振光栅的衍射特性。首先,计算出两束非等光强正交圆偏振光叠加后的偏振态分布。其次,利用斯托克斯参数表征叠加光场对光控取向膜的折射率响应矩阵。最后,以该响应矩阵为基础,求得液晶偏振光栅的2×2琼斯矩阵。结果表明,非等光强正交圆偏光制备的液晶偏振光栅理论上可以实现0级和1级的光强分布同时受液晶盒盒厚和入射光偏振态的调制,实现0级或±1当中任意级次衍射效率可达100%。在非等光强正交圆偏振光情况下,制备出的液晶偏振光栅依然具有良好的光学特性。
We report on the numerical analysis of liquid crystal polarization gratings(LCPGs),especially those were fabricated by two incident lights with orthogonal circular polarization and different intensities,and study their general diffraction properties by Jones calculus.First,we represent the electric fields of the incident waves respectively,and figured out the interference pattern and polarization properties.Second,the response matrix of the refractive index change by irradiating the polarized light was inferred and associated with the interference pattern by using the Stokes parameters.Finally,we obtained the 2×2 Jones matrix and the theoretical properties about the LCPGs based on the response matrix.The results indicate that the LCPGs fabricated by two incident lights with different intensities also can show high diffraction efficiency,about 100%,in zero order and ±1 order.
We report on the numerical analysis of liquid crystal polarization gratings(LCPGs),especially those were fabricated by two incident lights with orthogonal circular polarization and different intensities,and study their general diffraction properties by Jones calculus.First,we represent the electric fields of the incident waves respectively,and figured out the interference pattern and polarization properties.Second,the response matrix of the refractive index change by irradiating the polarized light was inferred and associated with the interference pattern by using the Stokes parameters.Finally,we obtained the 2×2 Jones matrix and the theoretical properties about the LCPGs based on the response matrix.The results indicate that the LCPGs fabricated by two incident lights with different intensities also can show high diffraction efficiency,about 100%,in zero order and ±1 order.
引文
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[2]王灿进,孙涛,李正炜.基于快速轮廓转动力矩特征的激光主动成像目标识别[J].中国光学,2015,8(5):775-784.WANG C J,SUN T,LI Z W.Target recognition in laser active imaging based on fast contour torque features[J].Chinese Optics,2015,8(5):775-784.(in Chinese)
[3]王新华,黄玮,欧阳继红.多探测器拼接成像系统实时图像配准[J].中国光学,2015,8(2):211-219.WANG X H,HUANG W,OUYANG J H.Real-time image registration of the multi-detectors mosaic imaging system[J].Chinese Optics,2015,8(2):211-219.(in Chinese)
[4]郭巳秋,许廷发,王洪庆,等.改进的粒子群优化目标跟踪方法[J].中国光学,2014,7(5):759-767.GUO S Q,XU T F,WANG H Q,et al.Object tracking method based on improved particle swarm optimization[J].Chinese Optics,2014,7(5):759-767.(in Chinese)
[5]MCMANAMON P F,DORSCHNER T A,CORKUM D L,et al.Optical phased array technology[J].Proceedings of the IEEE,1996,84(2):268-298.
[6]邹永超,司磊,陶汝茂,等.基于液晶材料的光束偏转技术研究进展[J].激光技术,2011,35(3):293-298,304.ZOU Y C,SI L,TAO R M,et al.Research progress of liquid crystal based light beam steering technique[J].Laser Technology,2011,35(3):293-298,304.(in Chinese)
[7]MCMANAMON P F,BOS P J,ESCUTI M J,et al.A review of phased array steering for narrow-band electrooptical systems[J].Proceedings of the IEEE,2009,97(6):1078-1096.
[8]JONES W M.Development of switchable polarization gratings for highly efficient liquid crystal displays[D].Raleigh:the Graduate Faculty of North Carolina State University,2006.
[9]TAN L.Liquid crystal polarization gratings and their applications[D].Hong Kong,China:The Hong Kong University of Science and Technology,2013.
[10]纪小妹,焦杨,董晓明,等.液晶光定向材料研究进展[J].信息记录材料,2008,9(4):33-41.JI X M,JIAO Y,DONG X M,et al.Development of research on LC light control materials[J].Information Recording Materials,2008,9(4):33-41.(in Chinese)
[11]梁兆颜,宣丽,杨柏梁,等.光控取向弱锚定表面的液晶分子排列[J].液晶与显示,2000,15(1):53-60.LIANG Z Y,XUAN L,YANG B L,et al.Liquid crystal molecules alignment on the weak anchoring surface by LPP method[J].Chinese Journal of Liquid Crystals and Displays,2000,15(1):53-60.(in Chinese)
[12]姚丽双,彭增辉,张伶莉,等.一种新型光敏小分子用于光控取向的研究[J].液晶与显示,2007,22(5):516-519.YAO L S,PENG Z H,ZHANG L L,et al.Photoalignment film of liquid crystal based on a novel photosensitive monomer[J].Chinese Journal of Liquid Crystals and Displays,2007,22(5):516-519.(in Chinese)
[13]NIKOLOVA L,RAMANUJAM P S.Polarization Holography[M].New York:Cambridge University Press,2009.
[14]HIROSHI O,MANABU N,AKIRA E,et al.Diffraction properties in polarization holography written by elliptical polarized light[J].Japanese Journal of Applied Physics,2010,49(3):032502.
[15]ONO H,NAKAMURA M,KAWATSUKI N,et al.Conversion of circularly polarized light into linearly polarized light in anisotropic phase gratings using photo-cross-linkable polymer liquid crystals[J].Applied Physics Letters,2007,90(23):231107.
[16]PAN X,XIAO S F,WANG C S,et al.Photoinduced anisotropy in an azo-containing ionic liquid–crystalline polymer[J].Optics Communications,2009,282(5):763-768.
[17]CHOI H,WU J W.Optical properties of holographically generated twisted nematic liquid-crystal gratings[J].Journal of the Optical Society of America B,2009,26(1):1-9.