Citation: | FANG Yuan-xiang, JIANG Lun, PEI Hui-yi, WANG Jin-jiang, CUI Yong, ZHANG Jia-ming. Tilt error’s characteristic analysis of dual liquid crystal polarization grating system[J]. Chinese Optics, 2024, 17(6): 1387-1396. doi: 10.37188/CO.2024-0041 |
In order to precisely control the direction of laser beams, we analyze the error caused by the grating tilt in the system based on the optical beam pointing algorithm of the dual liquid crystal polarization grating system. Firstly, a ray tracing method based on the diffraction grating equation is used to solve the outgoing beam pointing, introducing the incident beam pointing and grating tilt angle. The correctness and accuracy of this method are verified through comparison with simulation results. Secondly, by analyzing different cases of grating tilt, we provide expressions of the grating attitude under different tilt conditions, and in combination with the ray tracing method, obtain the expressions for the outgoing beam pointing for corresponding situations, analyzing the zeroing error and rotation error caused by grating tilt. The research results indicate that within the 0° to 0.3° grating tilt angle range, the zeroing errors are within 0.25 mrad and 2 mrad respectively, and the rotation errors are around 85 mrad and 430 mrad, respectively. We propose a method for accurately calculating the pointing direction and grating tilt errors in the exit beam of a dual liquid crystal polarization grating system.
[1] |
BUCK J, SERATI S, HOSTING L, et al. Polarization gratings for non-mechanical beam steering applications[J]. Proceedings of SPIE, 2012, 8395: 83950F. doi: 10.1117/12.921688
|
[2] |
DILLON T E, SCHUETZ C A, MARTIN R D, et al. Nonmechanical beam steering using optical phased arrays[J]. Proceedings of SPIE, 2011, 8184: 81840F. doi: 10.1117/12.898356
|
[3] |
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. doi: 10.3788/co.20150805.0775
WANG C J, SUN T, LI ZH W. Target recognition in laser active imaging based on fast contour torque features[J]. Chinese Optics, 2015, 8(5): 775-784. (in Chinese). doi: 10.3788/co.20150805.0775
|
[4] |
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. doi: 10.3788/co.20150802.0211
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). doi: 10.3788/co.20150802.0211
|
[5] |
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).
|
[6] |
潘国涛, 闫钰锋, 于信, 等. 矩形大口径激光光束质量评价光学系统设计[J]. 中国光学,2022,15(2):306-317. doi: 10.37188/CO.2021-0130
PAN G T, YAN Y F, YU X, et al. Design of optical system for quality evaluation of a large rectangular aperture laser beam[J]. Chinese Optics, 2022, 15(2): 306-317. (in Chinese). doi: 10.37188/CO.2021-0130
|
[7] |
张新荣, 王鑫, 王瑶, 等. 基于转动式二维激光扫描仪和多传感器的三维重建方法[J]. 中国光学(中英文),2023,16(3):663-672. doi: 10.37188/CO.2022-0159
ZHANG X R, WANG X, WANG Y, et al. 3D reconstruction method based on a rotating 2D laser scanner and multi-sensor[J]. Chinese Optics, 2023, 16(3): 663-672. (in Chinese). doi: 10.37188/CO.2022-0159
|
[8] |
TAN L. Liquid crystal polarization gratings and their applications[D]. Hong Kong, China: The Hong Kong University of Science and Technology, 2013.
|
[9] |
JONES W M. Development of switchable polarization gratings for highly efficient liquid crystal displays[D]. Raleigh: North Carolina State University, 2006.
|
[10] |
KIM J, OH C, ESCUTI M J, et al. Wide-angle nonmechanical beam steering using thin liquid crystal polarization gratings[J]. Proceedings of SPIE, 2008, 7093: 709302. doi: 10.1117/12.795752
|
[11] |
OH C, KIM J, MUTH J F, et al. A new beam steering concept: Risley gratings[J]. Proceedings of SPIE, 2009, 7466: 74660J. doi: 10.1117/12.828005
|
[12] |
赵志伟. 大偏转角液晶偏振光栅的研究[D]. 长春: 中国科学院大学(中国科学院长春光学精密机械与物理研究所), 2020.
ZHAO ZH W. Study on liquid crystal polarization grating with large deflection angle[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2020. (in Chinese).
|
[13] |
KIM J, MISKIEWICZ M N, SERATI S, et al. High efficiency quasi-ternary design for nonmechanical beam-steering utilizing polarization gratings[J]. Proceedings of SPIE, 2010, 7816: 78160G. doi: 10.1117/12.860885
|
[14] |
李松振. 液晶偏振光栅的设计及其光偏转特性研究[D]. 长春: 中国科学院大学(中国科学院长春光学精密机械与物理研究所), 2019.
LI S ZH. Design of liquid crystal polarization grating and study of its beam deflection characteristics[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2019. (in Chinese).
|
[15] |
刘壮, 王启东, 王超, 等. 正交级联液晶偏振光栅角度偏转模型[J]. 光子学报,2021,50(11):1105003. doi: 10.3788/gzxb20215011.1105003
LIU ZH, WANG Q D, WANG CH, et al. Deflection angular model of orthogonal cascade liquid crystal polarization gratings[J]. Acta Photonica Sinica, 2021, 50(11): 1105003. (in Chinese). doi: 10.3788/gzxb20215011.1105003
|
[16] |
刘壮, 王启东, 史浩东, 等. 正交级联液晶偏振光栅的收发分离结构设计[J]. 红外与激光工程,2021,50(11):20210551. doi: 10.3788/IRLA20210551
LIU ZH, WANG Q D, SHI H D, et al. Design of transceiver separation structure for orthogonal cascaded liquid crystal polarization gratings[J]. Infrared and Laser Engineering, 2021, 50(11): 20210551. (in Chinese). doi: 10.3788/IRLA20210551
|
[17] |
郑青泉, 王春阳, 王子硕, 等. 斜入射下液晶偏振光栅衍射特性研究[J]. 红外与激光工程,2022,51(7):20210511. doi: 10.3788/IRLA20210511
ZHENG Q Q, WANG CH Y, WANG Z SH, et al. Research on diffraction characteristics of liquid crystal polarization grating under oblique incidence[J]. Infrared and Laser Engineering, 2022, 51(7): 20210511. (in Chinese). doi: 10.3788/IRLA20210511
|
[18] |
SAKAMOTO M, NHAN H T, NODA K, et al. Polarized beam steering using multiply-cascaded rotating polarization gratings[J]. Applied Optics, 2021, 60(7): 2062-2068. doi: 10.1364/AO.416089
|
[19] |
WANG Z SH, WANG CH Y, LIANG SH N, et al. Diffraction characteristics of a non-mechanical beam steering system with liquid crystal polarization gratings[J]. Optics Express, 2022, 30(5): 7319-7331. doi: 10.1364/OE.452397
|
[20] |
WANG J, GAO L, JIANG L, et al. Establishment and verification of formulas of target tracking based on dual liquid crystal polarization gratings[J]. Optics Express, 2022, 30(24): 43062-43077. doi: 10.1364/OE.473947
|