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基于透镜阵列的三维姿态角度测量

杜明鑫 闫钰锋 张燃 才存良 于信 白素平 于洋

杜明鑫, 闫钰锋, 张燃, 才存良, 于信, 白素平, 于洋. 基于透镜阵列的三维姿态角度测量[J]. 中国光学(中英文), 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
引用本文: 杜明鑫, 闫钰锋, 张燃, 才存良, 于信, 白素平, 于洋. 基于透镜阵列的三维姿态角度测量[J]. 中国光学(中英文), 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
DU Ming-xin, YAN Yu-feng, ZHANG Ran, CAI Cun-liang, YU Xin, BAI Su-ping, YU Yang. 3D position angle measurement based on a lens array[J]. Chinese Optics, 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
Citation: DU Ming-xin, YAN Yu-feng, ZHANG Ran, CAI Cun-liang, YU Xin, BAI Su-ping, YU Yang. 3D position angle measurement based on a lens array[J]. Chinese Optics, 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129

基于透镜阵列的三维姿态角度测量

doi: 10.37188/CO.2021-0129
基金项目: 吉林省教育厅“十三五”科学技术项目(No. JJKH20200756KJ);吉林省科技发展计划项目(No. 20200401054GX);长春理工大学青年基金(No. XQNJJ-2019-01)
详细信息
    作者简介:

    杜明鑫(1995—),男,河北承德人,硕士研究生,2019年于长春理工大学光电信息学院获得学士学位,目前研究方向包括光机结构设计、误差分析、光电检测技术。E-mail: 1146816493@qq.com

    闫钰锋(1978—),男,吉林辽源人,工学博士,教授,博士生导师,2010年于长春理工大学测试计量技术与仪器专业获得博士学位,目前的研究方向包括光机结构设计、光电检测技术、仪器精度分析、光学测量。E-mail: yanyufeng@cust.edu.cn

  • 中图分类号: TP394.1;TH691.9

3D position angle measurement based on a lens array

Funds: Supported by “13th Five-Year” Science and Technology Project of Education Department of Jilin Province (No. JJKH20200756KJ); Science and Technology Development Project of Jilin Province (No. 20200401054GX); Youth Fund of Changchun University of Science and Technology (No. XQNJJ-2019-01)
More Information
  • 摘要: 三维姿态角的精确测量在航空、航天、国防等领域应用广泛,为方便准确地实现三维姿态角的测量,本文设计了一种基于透镜阵列的测量系统,并建立了微小三维姿态角测量分析模型。系统中,准直平行光束通过4个排列成金字塔形的阵列透镜,在CCD上形成规则分布的阵列光斑。通过分析CCD成像光斑间的距离、透镜阵列上相邻孔径之间的距离以及透镜阵列与CCD之间的倾斜角,可以得到光束相对于接收系统俯仰角和偏摆角,利用阵列光斑连线相对水平或垂直面的夹角,可同时得到绕Z轴的滚转角。通过与高精度自准直仪测量结果进行比较,证明所提方法的测量精度可以达到RMS≤0.1″,表明该方法能够实现三维姿态角的测量。

     

  • 图 1  系统结构示意图。(a)应用系统结构示意图;(b)系统原理结构示意图

    Figure 1.  Schematic diagram of the proposed system. (a)Structure diagram of application system; (b)structure diagram of system principle

    图 2  入射光的示意图。(a)向上的入射光线,(b)向下的入射光线

    Figure 2.  Schematic diagram of the incident light. (a) Upward incident light; (b) downward incident light

    图 3  扭转角示意图。(a)扭转角为0时的斑点示意图;(b)扭转角为$ \gamma $时的斑点示意图

    Figure 3.  Schematic diagram for the torsion angle. (a) The spots′ schematic diagram when the torsion angle is 0; (b) the spots′ schematic diagram when the torsion angle is $\gamma $

    图 4  透镜阵列的实物图和模拟图。(a)透镜阵列实物图;(b)透镜阵列尺寸图;(c)透镜阵列俯视图;(d)透镜阵列侧视图

    Figure 4.  Physical picture and simulation charts of the lens array. (a) Physical picture of the lens array; (b) size of the lens array; (c) top view of the lens array; (d) side view of the lens array

    图 5  实验装置图

    Figure 5.  Experimental set-up

    图 6  第7组光斑图

    Figure 6.  The seventh group of light spots

    图 7  相邻光斑拟合曲线

    Figure 7.  Fitting of adjacent spots

    图 8  不同βy值时的光斑阵列图像。(a) βy = 250″;(b) βy = 500″

    Figure 8.  Spot array images with different βy when βx = 0; (a) βy = 250″;(b) βy = 500″

    图 9  Y方向的测量结果。(a) 质心间距随 βy 变化的曲线;(b) 与自准直仪相比的误差曲线

    Figure 9.  Measurement results in the Y direction. (a) Centroid spacing changing with βy; (b) error curves in comparison with autocollimators

    图 10  βx值不同时的光斑阵列图像。(a) βx = 250″;(b) βx = 500″

    Figure 10.  Spot array image with different βx. when βy = 0. (a) βx = 250″; (b) βx = 500″

    图 11  X方向的测量结果。(a) 中心点间距随 βx 变化的曲线;(b) 与自准直仪相比较的误差曲线

    Figure 11.  Measurement results in the X direction. (a) Centroid spacing changing with βx; (b) error curves in comparison with autocollimators

    图 12  中心点随Z方向倾角变化曲线

    Figure 12.  Curve of centroid varying with inclination angle in the Z direction

    图 13  自动准直仪的对比度误差和XY方向的光斑间距

    Figure 13.  Contrast error compared with the results measured with autocollimator and spot spacing in X and Y directions

  • [1] RAJ A A B, SELVI A J V, DURAI K D, et al. Intensity feedback-based beam wandering mitigation in free-space optical communication using neural control technique[J]. EURASIP Journal on Wireless Communications and Networking, 2014, 2014(1): 160. doi: 10.1186/1687-1499-2014-160
    [2] BAI SH, WANG J Y, QIANG J, et al. Predictive filtering-based fast reacquisition approach for space-borne acquisition, tracking, and pointing systems[J]. Optics Express, 2014, 22(22): 26462-26475. doi: 10.1364/OE.22.026462
    [3] HSIEH T H, CHEN P Y, JYWE W Y, et al. A geometric error measurement system for linear guideway assembly and calibration[J]. Applied Sciences (Switzerland), 2019, 9(3): 574. doi: 10.3390/app9030574
    [4] HU P H, YU CH W, FAN K CH, et al. Error averaging effect in parallel mechanism coordinate measuring machine[J]. Applied Sciences, 2016, 6(12): 383. doi: 10.3390/app6120383
    [5] SCHERFF M L D, NUTTER J, FUSS-KAILUWEIT P, et al. Spectral mismatch and solar simulator quality factor in advanced LED solar simulators[J]. Japanese Journal of Applied Physics, 2017, 56(8S2): 08MB24. doi: 10.7567/JJAP.56.08MB24
    [6] TANG SH ZH, WANG ZH, GAO J M, et al. Influence of tilt on collinear calibration of a laser interferometer[J]. Applied Optics, 2013, 52(4): B46-B51. doi: 10.1364/AO.52.000B46
    [7] SAITO Y, WEI G, KIYONO S. A micro-angle sensor based on laser autocollimation[J]. Proceedings of SPIE, 2005, 6052: 60520Q. doi: 10.1117/12.647981
    [8] 廉孟冬, 金伟锋, 居冰峰. 二维光学自准直微角度传感器[J]. 机电工程,2010,27(12):23-26,35. doi: 10.3969/j.issn.1001-4551.2010.12.006

    LIAN M D, JIN W F, JU B F. 2D micro-angle sensor based on laser autocollimation[J]. Journal of Mechanical &Electrical Engineering, 2010, 27(12): 23-26,35. (in Chinese) doi: 10.3969/j.issn.1001-4551.2010.12.006
    [9] HSIEH H L, PAN S W. Development of a grating-based interferometer for six-degree-of-freedom displacement and angle measurements[J]. Optics Express, 2015, 23(3): 2451-2465. doi: 10.1364/OE.23.002451
    [10] 陈琎, 杨程亮, 穆全全, 等. 基于琼斯矩阵的液晶偏振光栅扭曲角及厚度的测量方法[J]. 液晶与显示,2021,36(5):656-662. doi: 10.37188/CJLCD.2020-0336

    CHEN J, YANG CH L, MU Q Q, et al. Method for measuring the twist angle and thickness of liquid crystal polarization grating based on Jones matrix[J]. Chinese Journal of Liquid Crystals and Displays, 2021, 36(5): 656-662. (in Chinese) doi: 10.37188/CJLCD.2020-0336
    [11] SABATYAN A, HOSEINI S A. Fresnel biprism as a 1D refractive axicon[J]. Optik, 2013, 124(21): 5046-5048. doi: 10.1016/j.ijleo.2013.03.126
    [12] ZHANG E ZH, CHEN B Y, ZHANG H, et al. Note: comparison experimental results of the laser heterodyne interferometer for angle measurement based on the Faraday effect[J]. Review of Scientific Instruments, 2018, 89(4): 046104. doi: 10.1063/1.5013630
    [13] WU Y M, CHENG H B, WEN Y F. High-precision rotation angle measurement method based on a lensless digital holographic microscope[J]. Applied Optics, 2018, 57(1): 112-118. doi: 10.1364/AO.57.000112
    [14] YUAN J H, DAI P, LIANG D, et al. Grid deformation real-time measurement system of ion thruster based on videometrics[J]. Applied Sciences, 2019, 9(9): 1759. doi: 10.3390/app9091759
    [15] 李娜, 姜志, 王军, 等. 基于Faster R-CNN的仪表识别方法[J]. 液晶与显示,2020,35(12):1291-1298. doi: 10.37188/YJYXS20203512.1291

    LI N, JIANG ZH, WANG J, et al. Instrument recognition method based on faster R-CNN[J]. Chinese Journal of Liquid Crystals and Displays, 2020, 35(12): 1291-1298. (in Chinese) doi: 10.37188/YJYXS20203512.1291
    [16] KONYAKHIN I, SAKHARIYANOVA A M, SMEKHOV A. Investigation vignetting beams in optoelectronic autocollimation angle measurement system[J]. Proceedings of SPIE, 2015, 9526: 95260H.
    [17] CHEN Y L, SHIMIZU Y, TAMADA J, et al. Laser autocollimation based on an optical frequency comb for absolute angular position measurement[J]. Precision Engineering, 2018, 54: 284-293. doi: 10.1016/j.precisioneng.2018.06.005
    [18] 樊华, 曹小文, 李臻赜, 等. 飞秒脉冲激光空间光场调控的微透镜阵列制备技术进展[J]. 液晶与显示,2021,36(6):827-840. doi: 10.37188/CJLCD.2020-0334

    FAN H, CAO X W, LI ZH Z, et al. Progress in femtosecond laser fabrication of microlens array with spatial light modulators[J]. Chinese Journal of Liquid Crystals and Displays, 2021, 36(6): 827-840. (in Chinese) doi: 10.37188/CJLCD.2020-0334
    [19] SARKAR S K, BASURAY A, SENGUPTA K. A compound interferometer for angle measurement[J]. Optics Communications, 1992, 89(2-4): 153-158. doi: 10.1016/0030-4018(92)90150-P
    [20] LI X J, HUI M, ZHAO ZH, et al. Differential computation method used to calibrate the angle-centroid relationship in coaxial reverse Hartmann test[J]. Review of Scientific Instruments, 2018, 89(5): 053104. doi: 10.1063/1.5021313
    [21] SHAIKH S A, TONELLO A M. Radio source localization in multipath channels using EM lens assisted massive antennas arrays[J]. IEEE Access, 2019, 7: 9001-9012. doi: 10.1109/ACCESS.2019.2891110
    [22] FUH Y K, LAI ZH H. A fast processing route of aspheric polydimethylsiloxane lenses array (APLA) and optical characterization for smartphone microscopy[J]. Optics Communications, 2017, 385: 160-166. doi: 10.1016/j.optcom.2016.10.029
    [23] CHANG X F, XU K Y, XIE D, et al. Microforging technique for fabrication of spherical lens array mold[J]. The International Journal of Advanced Manufacturing Technology, 2018, 96(9-12): 3843-3850. doi: 10.1007/s00170-018-1719-1
    [24] COPPOLA S, PAGLIARULO V, VESPINI V, et al. Direct fabrication of polymer micro-lens array[J]. Proceedings of SPIE, 2017, 10329: 103294Q.
    [25] LIU K H, CHEN M F, PAN C T, et al. Fabrication of various dimensions of high fill-factor micro-lens arrays for OLED package[J]. Sensors and Actuators A:Physical, 2010, 159(1): 126-134. doi: 10.1016/j.sna.2010.02.020
    [26] 吴从均, 颜昌翔, 刘伟. 像差对通信捕获光斑质心的影响分析[J]. 中国激光,2013,40(10):1005004. doi: 10.3788/CJL201340.1005004

    WU C J, YAN CH X, LIU W. Analysis of optical aberration impact on acquisition performance[J]. Chinese Journal of Lasers, 2013, 40(10): 1005004. (in Chinese) doi: 10.3788/CJL201340.1005004
    [27] 张艳艳, 郝晓龙, 陈洁玮. 加门限的一阶矩光斑质心探测方法[J]. 光学技术,2015,41(1):59-63. doi: 10.3788/GXJS20154101.0059

    ZANG Y Y, HAO X L, CHEN J W. First moment spot centroid detection with a threshold to compute the centroid[J]. Optical Technique, 2015, 41(1): 59-63. (in Chinese) doi: 10.3788/GXJS20154101.0059
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出版历程
  • 收稿日期:  2021-06-25
  • 修回日期:  2021-07-21
  • 网络出版日期:  2021-10-20
  • 刊出日期:  2022-01-19

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