• Chinese Journal of Lasers
  • Vol. 49, Issue 23, 2304001 (2022)
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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    DOI: 10.3788/CJL202249.2304001 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Schematic of single lens structural parameter measurement
    Fig. 1. Schematic of single lens structural parameter measurement
    Flowchart of structural parameter metrology of single lens
    Fig. 2. Flowchart of structural parameter metrology of single lens
    Ray’s direction calibration of camera
    Fig. 3. Ray’s direction calibration of camera
    Single lens with decentration and tilt
    Fig. 4. Single lens with decentration and tilt
    Ray-tracing model
    Fig. 5. Ray-tracing model
    Experiment setup for lens structural parameters measurement
    Fig. 6. Experiment setup for lens structural parameters measurement
    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
    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
    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 Xx)Simulated result /mm1.500
    Preset value /mm1.5
    Relative error /%-2.949×10-5
    Decentration Yy)Simulated result /mm-1.000
    Preset value /mm-1
    Relative error /%3.053×10-5
    Decentration Zz)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 1. Simulation results of double convex lens
    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 Xx)Simulated result /mm1.479
    Preset value /mm1.5
    Relative error /%-1.435
    Decentration Yy)Simulated result /mm-0.975
    Preset value /mm-1
    Relative error /%2.469
    Decentration Zz)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 2. Simulation results of lens parameter with pinhole position error
    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
    Table 3. Experimental results of double convex lens
    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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