Chinese Journal of Lasers, Volume. 50, Issue 13, 1304006(2023)

Measurement Method for Numerical Aperture of Projection Lens Based on Ronchi Lateral Shearing Interferometry

Yunjun Lu1,2, Zhongliang Li1,2、*, Feng Tang1, and Xiangzhao Wang1
Author Affiliations
  • 1Laboratory of Information Optics and Opto-Electronic Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • show less
    Figures & Tables(19)
    Principle diagram of Ronchi lateral interferometer setup used for wavefront aberration test of projection lens
    Area used in tilt coefficients measurement
    Geometrical paths of interfering rays at detector when image-plane grating is placed at focus of optics under test
    Geometrical paths of interfering rays at detector when image-plane grating is placed behind focus of optics under test
    Measurement process of lens NA based on Ronchi lateral shearing interferometry
    Schematic of tilt coefficients c2 and c3 varying with axial position
    Error of NA measurement versus wavelength shift (central wavelength is 532 nm)
    Error of NA measurement versus axial positioning error
    Error of NA measurement versus axial distance δz when positioning error is set to be 6 nm
    Error of NA measurement versus image-plane grating period error
    Error of NA measurement for different image-plane grating periods
    Error of NA measurement versus c2 or c3 measurement error
    Experimental setup of double-grating Ronchi LSI system
    Shearing interferograms in X direction and Y direction when image-plane grating is located at different axial positions. (a) X direction shearing interferogram near focal plane; (b) Y direction shearing interferogram near focal plane; (c) X direction shearing interferogram with about 50 μm defocusing; (d) Y direction shearing interferogram with about 50 μm defocusing
    Measurement results of c2 and c3 when image-plane grating is moved along axial direction
    Geometrical model of beam radius at detector
    Measurement results of beam radius when CCD is moved along axial direction
    Relative RMS error of reconstructed wavefront versus relative shearing error
    • Table 1. Parameters used in simulation

      View table

      Table 1. Parameters used in simulation

      NAλ /nmP /μmδz /μmΔc2 /nm
      0.353215.0410222.6
      0.8943.9
    Tools

    Get Citation

    Copy Citation Text

    Yunjun Lu, Zhongliang Li, Feng Tang, Xiangzhao Wang. Measurement Method for Numerical Aperture of Projection Lens Based on Ronchi Lateral Shearing Interferometry[J]. Chinese Journal of Lasers, 2023, 50(13): 1304006

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Measurement and metrology

    Received: Dec. 19, 2022

    Accepted: Feb. 8, 2023

    Published Online: Jul. 5, 2023

    The Author Email: Li Zhongliang (lizhongliang@siom.ac.cn)

    DOI:10.3788/CJL221546

    Topics