Infrared and Laser Engineering, Volume. 51, Issue 11, 20220124(2022)

Research on focal length calibration method of oblique installation collimator

Tao Wang1, Liude Tian1, Jianke Zhao1, Yan Zhou1, Kewei E1, Kai Liu1, Shangkuo Liu1, Fei Liu2, Lihong Yang3, Yining Liu1, Xun Xue1, and Huaixue Zhao1
Author Affiliations
  • 1Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China
  • 2School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China
  • 3School of Optoelectronics Engineering, Xi’an Technological University, Xi'an 710021, China
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    Figures & Tables(11)
    Schematic diagram of focal length calibration based on precision goniometry
    Schematic diagram of focal length calibration under inclined installation
    Mapping between the point on the target board and the total station angle
    Layout of slit target board
    Acquisition site of testing point angle of target board
    • Table 1. Process data when the N1,N3 is located in different quadrants and parallel to the horizontal and vertical wire of the reticle (Unit: rad)

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      Table 1. Process data when the N1,N3 is located in different quadrants and parallel to the horizontal and vertical wire of the reticle (Unit: rad)

      Points to be measuredImaging area of ${N_1},{N_3}$
      First quadrant Second quadrant Third quadrant Fourth quadrant Coincidence with the horizontal wire Coincidence with the vertical wire
      $ {N_1} $$ \angle {A_o} $000000
      $ \angle {E_o} $1.0445241.0445981.0446261.0445981.0446211.044580
      $ \angle A $0.0006250.0005680.0020660.0025470.0029350
      $ \angle E $1.0459661.0460471.0435761.0438681.0446111.046057
      $ {N_2} $$ \angle {A_o} $000000
      $ \angle {E_o} $1.0445241.0445981.0446261.0445981.0446211.044580
      $ \angle A $0.0013480.0012770.0045190.0056250.0064890
      $ \angle E $1.0477091.0477881.0422991.0429881.0446151.047836
      $ {N_3} $$ \angle {A_o} $000000
      $ \angle {E_o} $1.0445241.0445981.0446261.0445981.0446211.044580
      $ \angle A $0.0020030.0017490.0065300.0080020.0092760
      $ \angle E $1.0490681.0491751.0413221.0422631.0446201.049236
    • Table 2. Focal length when the N1,N3 is located in different quadrants and parallel to the horizontal wire of the reticle after correcting the projection error (Unit: mm)

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      Table 2. Focal length when the N1,N3 is located in different quadrants and parallel to the horizontal wire of the reticle after correcting the projection error (Unit: mm)

      Points to be measuredImaging area of ${N_1}, {N_3}$
      First quadrantSecond quadrantThird quadrantFourth quadrantCoincidence with the horizontal wire
      $ {N_1} $1981.771980.371980.241984.651983.93
      $ {N_2} $2009.702011.132011.012010.132007.73
      $ {N_3} $2041.142038.212037.352040.332038.74
    • Table 3. Focal length of different testing points after correcting the projection error and distortion (Unit: mm)

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      Table 3. Focal length of different testing points after correcting the projection error and distortion (Unit: mm)

      Points to be measuredThe imaging area of ${N_1}, {N_3}$
      First quadrantSecond quadrantThird quadrantFourth quadrantCoincidence with the horizontal wire
      $ {N_1} $1981.771980.371980.241984.651983.93
      $ {N_2} $1983.581984.981984.861984.001981.63
      $ {N_3} $1983.991981.141980.311983.201981.66
    • Table 4. Focal length when theN1, N3 is parallel to the vertical wire of the reticle (Unit: mm)

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      Table 4. Focal length when theN1, N3 is parallel to the vertical wire of the reticle (Unit: mm)

      Points to be measuredCoincidence with the vertical wire
      $ {N_1} $1980.03
      $ {N_2} $2009.58
      $ {N_3} $2039.91
    • Table 5. Focal length when the N1, N3 is parallel to the horizontal wire of the reticle with correcting the distortion (Unit: mm)

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      Table 5. Focal length when the N1, N3 is parallel to the horizontal wire of the reticle with correcting the distortion (Unit: mm)

      Points to be measuredCoincidence with the horizontal wire
      $ {N_1} $996.42
      $ {N_2} $995.23
      $ {N_3} $995.22
    • Table 6. Extended uncertainty of focal length (Unit: mm)

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      Table 6. Extended uncertainty of focal length (Unit: mm)

      Points to be measuredExtended uncertainty
      First quadrantSecond quadrantThird quadrantFourth quadrantCoincidence with the horizontal wire Coincidence with the vertical wire
      $ {N_1} $7.337.355.584.262.391.36
      $ {N_2} $3.333.342.551.931.080.60
      $ {N_3} $2.332.331.761.360.760.42
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    Tao Wang, Liude Tian, Jianke Zhao, Yan Zhou, Kewei E, Kai Liu, Shangkuo Liu, Fei Liu, Lihong Yang, Yining Liu, Xun Xue, Huaixue Zhao. Research on focal length calibration method of oblique installation collimator[J]. Infrared and Laser Engineering, 2022, 51(11): 20220124

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    Paper Information

    Category: Photoelectric measurement

    Received: Feb. 8, 2022

    Accepted: --

    Published Online: Feb. 9, 2023

    The Author Email:

    DOI:10.3788/IRLA20220124

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