• Chinese Optics Letters
  • Vol. 16, Issue 10, 101201 (2018)
Longbo Xu1, Shijie Liu2、*, Rihong Zhu1、**, You Zhou2, and Jie Chen2
Author Affiliations
  • 1Nanjing University of Science and Technology, Nanjing 210094, China
  • 2Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
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    DOI: 10.3788/COL201816.101201 Cite this Article Set citation alerts
    Longbo Xu, Shijie Liu, Rihong Zhu, You Zhou, Jie Chen. Absolute surface form measurement of flat optics based on oblique incidence method[J]. Chinese Optics Letters, 2018, 16(10): 101201 Copy Citation Text show less
    Principle of the absolute measurement method based on oblique incidence.
    Fig. 1. Principle of the absolute measurement method based on oblique incidence.
    Retrieval algorithms for absolute surface measurement.
    Fig. 2. Retrieval algorithms for absolute surface measurement.
    Relative interpolation error PV due to the oblique incidence angle for different flatnesses of L.
    Fig. 3. Relative interpolation error PV due to the oblique incidence angle for different flatnesses of L.
    Residual error (RMS) as a function of rotation angle.
    Fig. 4. Residual error (RMS) as a function of rotation angle.
    Repeatability error of PV as a function of the measurement times at different control errors for the rotation angle.
    Fig. 5. Repeatability error of PV as a function of the measurement times at different control errors for the rotation angle.
    Experimental setup for the absolute measurement.
    Fig. 6. Experimental setup for the absolute measurement.
    Surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    Fig. 7. Surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    Gradient of the surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    Fig. 8. Gradient of the surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    Mid-spatial frequency error of the surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    Fig. 9. Mid-spatial frequency error of the surface form measurement results with three different methods: (a) oblique incidence method, (b) N-rotation method, and (c) relative measurement method.
    ParameterOblique incidence methodN-rotation measurement methodRelative measurement method
    PV (nm)18.9815.8224.05
    RMS (nm)3.923.255.77
    MSF (nm)0.50.30.4
    GRMS (nm/cm)4.53.56.1
    Table 1. Summary of the Surface Form Measurement Results
    Longbo Xu, Shijie Liu, Rihong Zhu, You Zhou, Jie Chen. Absolute surface form measurement of flat optics based on oblique incidence method[J]. Chinese Optics Letters, 2018, 16(10): 101201
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