王涛, 田留德, 赵建科, 周艳, 鄂可伟, 刘锴, 刘尚阔, 刘飞, 杨利红, 刘艺宁, 薛勋, 赵怀学. 倾斜安装的光管焦距标定方法研究[J]. 红外与激光工程, 2022, 51(11): 20220124. DOI: 10.3788/IRLA20220124
引用本文: 王涛, 田留德, 赵建科, 周艳, 鄂可伟, 刘锴, 刘尚阔, 刘飞, 杨利红, 刘艺宁, 薛勋, 赵怀学. 倾斜安装的光管焦距标定方法研究[J]. 红外与激光工程, 2022, 51(11): 20220124. DOI: 10.3788/IRLA20220124
Wang Tao, Tian Liude, Zhao Jianke, Zhou Yan, E Kewei, Liu Kai, Liu Shangkuo, Liu Fei, Yang Lihong, Liu Yining, Xue Xun, Zhao Huaixue. Research on focal length calibration method of oblique installation collimator[J]. Infrared and Laser Engineering, 2022, 51(11): 20220124. DOI: 10.3788/IRLA20220124
Citation: Wang Tao, Tian Liude, Zhao Jianke, Zhou Yan, E Kewei, Liu Kai, Liu Shangkuo, Liu Fei, Yang Lihong, Liu Yining, Xue Xun, Zhao Huaixue. Research on focal length calibration method of oblique installation collimator[J]. Infrared and Laser Engineering, 2022, 51(11): 20220124. DOI: 10.3788/IRLA20220124

倾斜安装的光管焦距标定方法研究

Research on focal length calibration method of oblique installation collimator

  • 摘要:
    平行光管水平放置和倾斜安装时由于受力状态不同其光学参数会有较大差异,为了精准评价平行光管的焦距,根据平行光管焦面上的点与全站仪角度之间的映射关系,建立了倾斜安装条件下光管焦距与全站仪角度关系的精确数学模型,修正了全站仪垂直轴轴系转动时产生的原理性投影误差。使用全站仪采集了多组数据并进行了实验验证:修正畸变后由焦面目标与竖丝平行时的各测试点解算的焦距值分别为1980.03、1983.45、1982.79 mm,焦距平均值即真值为1982.09 mm。修正畸变但未修正投影误差的情况下由焦面目标与分划板横丝平行时的各测试点解算的焦距值分别为996.42、995.23、995.22 mm,焦距平均值相对误差为50.2%。修正投影误差和畸变后由焦面目标位于不同象限及与分划板横丝平行时的各测试点
    解算的焦距值极差为4.74 mm,焦距平均值为1982.69 mm,与真值差值为0.6 mm。测量结果的展伸不确定度与焦距真值的最大相对误差为0.36%,该值远小于GB/T 9917.1—2002 照相镜头中实测焦距对名义焦距的相对误差不超过±5%的规定。实验结果表明:该模型具有较高的解算精度,目标狭缝在分划板中的相位可以是随机值,对于倾斜安装条件下平行光管焦距的原位检测具有极大的工程应用价值。

     

    Abstract: When the collimator is placed horizontally and installed obliquely, its optical parameters will be greatly different due to different stress states. In order to accurately evaluate the focal length of collimator, according to the mapping relationship between the point on the focal plane of the collimator and the angle of the total station, an accurate mathematical model of the relationship between the focal length and the angle of the total station under the condition of oblique installation is established, the principle projection error caused by the rotation of the vertical axis of the total station is corrected. Several groups of data are collected by total station and experimental verification is carried out. After correcting the distortion, the focal length calculated by each testing point when the line segment is parallel to the vertical wire are 1 980.03 mm, 1 983.45 mm, 1 982.79 mm, the average focal length, i.e. the true value, is 1 982.09 mm. When the distortion is corrected but the projection error is not corrected, the focal length calculated from each testing point when the line segment is parallel to the horizontal wire of the reticle is 996.42 mm, 995.23 mm, 995.22 mm, the relative error of the average focal length is 50.2%. The range of focal length calculated by each testing point when the line segment is located in different quadrants and parallel to the horizontal wire of the reticle is 4.74 mm after correcting the projection error and distortion, the average focal length of all testing points is 1982.69 mm, the difference between the average value and the true value is 0.6 mm. The maximum relative error between the extended uncertainty of the focal length calculated by different testing point and the true value of the focal length is 0.36%. This value is far less than the stipulation in GB/T 9917.1-2002 that the relative error between the measured focal length and the nominal focal length in the photographic lens does not exceed ±5%. The experimental results show that the model has universality and high accuracy, the phase of the target slit in the reticle is allowed to be a random value, there is no need to adjust the slit to be strictly parallel to the vertical wire of the total station, the model has great engineering application value for the in-situ detection of the focal length of the collimator under the condition of oblique installation.

     

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