Acta Optica Sinica, Volume. 38, Issue 4, 0412002(2018)

Comparison and Correction of Errors Caused by Radial Phase-Shifting Nonuniformity of Test Optics in Multi-Step Phase-Shifting

Fen Gao1,2、*, Jinping Ni1, Bing Li2, and Ailing Tian1
Author Affiliations
  • 1 School of Optoelectronic Engineering, Xi'an Technological University, Xi'an, Shaanxi 710032, China
  • 2 State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
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    Figures & Tables(7)
    Principle of PSPDI
    Schematic of error caused by radial phase-shifting nonuniformity of optical element to be tested
    Relation of phase-shifting error with normalized radial distance when shifting one step
    Figure errors caused by radial phase-shifting nonuniformity of different algorithms when R/D=3.3. (a) 5A and 5B; (b) 6A and 6B; (c) 7A and 7B; (d) 13A and 13B
    Residual error distribution after quadratic polynomial correction of different algorithms when R/D=1.67. (a) 5A and 5B; (b) 6A and 6B; (c) 7A and 7B; (d) 13A and 13B
    • Table 1. PV values of figure errors caused by radial phase-shifting nonuniformity with different R/D values and algorithms

      View table

      Table 1. PV values of figure errors caused by radial phase-shifting nonuniformity with different R/D values and algorithms

      R/DPV value of figure error /nm
      5A5B6A6B7A7B13A13B
      0.6561.290858.258272.636571.636485.893085.6941171.3445171.3443
      1.59.13429.048111.306511.309713.571413.571427.142827.1428
      3.31.82831.82642.28302.28302.73962.73965.47935.4793
      7.10.39280.39280.49100.49100.58920.58921.17831.1783
      10.70.17280.17280.21600.21600.25920.25920.51850.5185
    • Table 2. PV values of residual errors after quadratic polynomial correction

      View table

      Table 2. PV values of residual errors after quadratic polynomial correction

      R/DPV value of residual error /nm
      5A5B6A6B7A7B13A13B
      0.659.11453.67636.38194.98806.44656.270212.489012.4888
      1.50.18420.08720.10510.10810.12950.12950.25890.2589
      3.30.00670.00340.00430.00430.00510.00510.01030.0103
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    Fen Gao, Jinping Ni, Bing Li, Ailing Tian. Comparison and Correction of Errors Caused by Radial Phase-Shifting Nonuniformity of Test Optics in Multi-Step Phase-Shifting[J]. Acta Optica Sinica, 2018, 38(4): 0412002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Oct. 3, 2017

    Accepted: --

    Published Online: Jul. 10, 2018

    The Author Email: Gao Fen (gaofen8128@163.com)

    DOI:10.3788/AOS201838.0412002

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