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Chinese Journal of Lasers, Volume. 49, Issue 23, 2304001(2022)

Measuring Structural Parameters of Single Lens Using Transmission Deflectometry

Xiangtian Xiao, Dahai Li*, Linzhi Yu, Xinwei Zhang, and Yilang Ruan
Author Affiliations
  • College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, Sichuan, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (11)
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    References (20)
    Cited By (2)
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    Figures & Tables(11)
    Schematic of single lens structural parameter measurement

    Fig. 1. Schematic of single lens structural parameter measurement

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    Flowchart of structural parameter metrology of single lens

    Fig. 2. Flowchart of structural parameter metrology of single lens

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    Ray’s direction calibration of camera

    Fig. 3. Ray’s direction calibration of camera

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    Single lens with decentration and tilt

    Fig. 4. Single lens with decentration and tilt

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    Ray-tracing model

    Fig. 5. Ray-tracing model

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    Experiment setup for lens structural parameters measurement

    Fig. 6. Experiment setup for lens structural parameters measurement

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    Fringe images captured by cameras. (a) Without tested lens; (b) with tested lens

    Fig. 7. Fringe images captured by cameras. (a) Without tested lens; (b) with tested lens

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    Relative pose variations result of single lens. (a) Move along x axis with the step of 0.5 mm each time; (b) rotate around y axis with the step of 1° each time

    Fig. 8. Relative pose variations result of single lens. (a) Move along x axis with the step of 0.5 mm each time; (b) rotate around y axis with the step of 1° each time

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    • Table 1. Simulation results of double convex lens

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      Table 1. Simulation results of double convex lens

      ParameterValue
      Radius (front surface)Simulated result /mm101.980
      Preset value /mm101.980
      Relative error /%－3.535×10－4
      Radius (rear surface)Simulated result /mm－101.980
      Preset value /mm－101.980
      Relative error /%－3.192×10－4
      Index of refractionSimulated result1.5168
      Preset value1.5168
      Relative error /%－1.209×10－4
      Lens center thicknessSimulated result /mm8.000
      Preset value /mm8
      Relative error /%4.440×10－5
      Decentration X(Δx)Simulated result /mm1.500
      Preset value /mm1.5
      Relative error /%－2.949×10－5
      Decentration Y(Δy)Simulated result /mm－1.000
      Preset value /mm－1
      Relative error /%3.053×10－5
      Decentration Z(Δz)Simulated result /mm150.000
      Preset value /mm150
      Relative error /%－2.529×10－6
      θxSimulated result /(°)89.200
      Preset value /(°)89.2
      Relative error /%－4.141×10－7
      θySimulated result /(°)90.300
      Preset value /(°)90.3
      Relative error /%－5.058×10－7

    • Table 2. Simulation results of lens parameter with pinhole position error

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      Table 2. Simulation results of lens parameter with pinhole position error

      ParameterValue
      Radius (front surface)Simulated result /mm102.146
      Preset value /mm101.980
      Relative error /%0.163
      Radius (rear surface)Simulated result /mm－101.688
      Preset value /mm－101.980
      Relative error /%－0.286
      Index of refractionSimulated result1.5160
      Preset value1.5168
      Relative error /%－0.056
      Lens center thicknessSimulated result /mm8.007
      Preset value /mm8
      Relative error /%0.086
      Decentration X(Δx)Simulated result /mm1.479
      Preset value /mm1.5
      Relative error /%－1.435
      Decentration Y(Δy)Simulated result /mm－0.975
      Preset value /mm－1
      Relative error /%2.469
      Decentration Z(Δz)Simulated result /mm150.122
      Preset value /mm150
      Relative error /%0.082
      θxSimulated result /(°)89.236
      Preset value /(°)89.2
      Relative error /%0.040
      θySimulated result /(°)90.280
      Preset value /(°)90.3
      Relative error /%－0.023

    • Table 3. Experimental results of double convex lens

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      Table 3. Experimental results of double convex lens

      ParameterValue
      Radius (front surface)Simulated result /mm102.945
      Nominal value /mm101.980
      Relative error /%0.946
      Radius (rear surface)Simulated result /mm－101.739
      Nominal value /mm－101.980
      Relative error /%－0.236
      Index of refractionSimulated result1.520
      Nominal value1.5151
      Relative error /%0.324
      Lens center thicknessSimulated result /mm8.011
      Nominal value /mm8
      Relative error /%0.138
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    Xiangtian Xiao, Dahai Li, Linzhi Yu, Xinwei Zhang, Yilang Ruan. Measuring Structural Parameters of Single Lens Using Transmission Deflectometry[J]. Chinese Journal of Lasers, 2022, 49(23): 2304001

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    Paper Information

    Category: Measurement and metrology

    Received: Dec. 28, 2021

    Accepted: Mar. 11, 2022

    Published Online: Nov. 2, 2022

    The Author Email: Li Dahai (lidahai@scu.edu.cn)

    DOI:10.3788/CJL202249.2304001

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology