Acta Optica Sinica, Volume. 43, Issue 13, 1312004(2023)

Ultra-Precision on-Machine Measurement of Fresnel Microstructure Based on Point Autofocus Sensor

Zhikai Yang, Zaozao Chen, Liangliang Mo, and Xinquan Zhang*
Author Affiliations
  • School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
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    Figures & Tables(13)
    Experimental setup for on-machine measurement system
    System hardware-software framework diagram
    Schematic of point autofocus sensor. (a) Structure diagram; (b) defocus-voltage curves of the sensor[21]
    Temperature correlation verification. (a) Schematic of the experimental process; (b) 3D measurement result of optical plane; (c) spectrum analysis results for 2D profile averaged along the scanning direction and temperature
    Schematic of coordinate system for origin calibration of the measurement system
    Temperature compensation algorithm verification. (a) Original surface topography; (b) surface topography after temperature compensation; (c) comparison of mean topography along scanning direction before and after temperature compensation; (d) mean topography spectrum analysis before and after temperature compensation
    Measurement results of Fresnel structure. (a) Comparison of surface topography measured by conventional confocal sensor and point autofocus sensor; (b) cause analysis of central defect; (c) light intensity curve received by the equipment at the draft surface
    Schematic of spherical Fresnel workpiece and error evaluation. (a) Spherical Fresnel microstructure workpiece; (b) spherical Fresnel error evaluation process
    Error of Fresnel structure under different measuring equipments. (a) Offline white light interferometer; (b) offline point autofocus instrument; (c) on-machine point autofocus instrument without temperature compensation; (d) on-machine point autofocus instrument with temperature compensation
    • Table 1. Parameters for temperature correlation verification

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      Table 1. Parameters for temperature correlation verification

      ParameterValue
      Probe modelMitaka PF1S
      Lateral measuring range100 μm
      Feed measurement range200 μm
      Movement speed0.2 mm/min
      Scanning frequency50 Hz
      Feed step1 μm
      Objective magnification100×
      Objective numerical aperture0.8
    • Table 2. Parameters for probe calibration

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      Table 2. Parameters for probe calibration

      ItemParameterSetting
      Standard sphereCalibrated radius39977.540 μm
      Calibrated length10000.000 μm
      Scanning pathScanning times10
      X-axis offset interval500.000 μm
      Z-axis offset interval100.000 μm
      Probe settingScanning frequency50 Hz
      Optimization settingMethodInterior point
      Termination tolerance on X10-50
      Termination tolerance on function10-50
      Maximum iterationsInfinite
    • Table 3. Optimization initial value and corresponding results for original optimization equation

      View table

      Table 3. Optimization initial value and corresponding results for original optimization equation

      ParameterInitial value of optimization

      Maximum

      deviation

      (0,0)(100,100)(100,-100)(-100,-100)
      xR0 /μm82.3716681.9313181.6681080.274212.09745
      yR0 /μm-289.60924-287.37639-303.12874-283.2434119.88533
      zR0 /μm40434.6924940434.6805840434.5347940434.612100.15771
      u-0.00017-0.000040.000210.000370.00054
      v0.003100.00797-0.026070.018750.04482
      w1.000000.999970.999660.999820.00034
      Δx /μm193.85000193.60421-195.46880-193.02804389.31880
      Δy /μm-206.61631-206.85537205.38973207.46654414.32191
    • Table 4. Optimization initial value and corresponding results for optimization equation proposed in this work

      View table

      Table 4. Optimization initial value and corresponding results for optimization equation proposed in this work

      ParameterInitial value of optimization

      Maximum

      deviation

      (0,0)(100,100)(100,-100)(-100,-100)
      xR0 /μm82.8988382.3630482.6802382.637380.53579
      yR0 /μm-292.09877-289.60783-291.52141-291.726332.49094
      zR0 /μm40434.6914640434.6923540434.6961540434.694420.00469
      u-0.00016-0.00017-0.00023-0.000240.00008
      v-0.003700.00317-0.00196-0.001640.00687
      w0.999990.999991.000001.000000.00001
      ρ0 /μm283.34333283.31593283.32717283.321350.02740
      φ0 /(°)-46.71952-46.82735-46.74763-46.757930.10783
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    Zhikai Yang, Zaozao Chen, Liangliang Mo, Xinquan Zhang. Ultra-Precision on-Machine Measurement of Fresnel Microstructure Based on Point Autofocus Sensor[J]. Acta Optica Sinica, 2023, 43(13): 1312004

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 12, 2023

    Accepted: Mar. 6, 2023

    Published Online: Jul. 12, 2023

    The Author Email: Zhang Xinquan (zhangxinquan@sjtu.edu.cn)

    DOI:10.3788/AOS230469

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