Acta Optica Sinica, Volume. 45, Issue 7, 0734002(2025)

Characterization of Hyperboloid X-Ray Refractive Lens Profiles Based on Point Cloud Processing Method

Wanjia Yin1,2, Zengyan Zhang1,3、*, and Xiaohao Dong1,3、**
Author Affiliations
  • 1Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China
  • show less
    Figures & Tables(14)
    Schematic diagram of watershed segmentation
    Schematic diagrams of point cloud processing. (a) Equidistant stratification; (b) find fitting axis through each layer’s centroid points
    Schematic diagrams of lens samples to be tested, test equipment, and scanning. (a) 1#‒6# diamond refractive lens samples processed by femtosecond laser; (b) synchrotron radiation X-ray CT experimental device; (c) schematic diagram of X-ray CT scanning of refractive lens
    CT image processing of lens sample. (a) Schematic diagram of CT projection image; (b) incomplete global threshold segmentation result (left) and ideal segmentation result (right); (c) 3D surface reconstruction
    Point clouds of paraboloid. (a) 1# sample; (b) 2# sample; (c) 3# sample; (d) 4# sample; (e) 5# sample; (f) 6# sample
    Fitting calculation process of mutual tilt angle. (a) Centroid distribution of 3# sample divided into 100 layers; (b) two fitting lines
    Centroid distributions of different layers of 3# sample. (a) 50 layers; (b) 100 layers; (c) 150 layers; (d) 200 layers; (e) 250 layers; (f) 300 layers
    Calculated value of mutual tilt angle varying with number of layers
    Surface recovery and fitting residuals of 6# sample. (a)(b) Profiles of upper and lower paraboloids; (c)(d) fitting residuals of upper and lower paraboloids
    Test results obtained by laser scanning confocal microscopy for 6# sample. (a)(b) Paraboloid surfaces of upper and lower paraboloids; (c)(d) fitting residuals of upper and lower paraboloids
    Comparison of calculated curvature radii based on CT and LSCM data. (a) Data of upper paraboloid; (b) data of lower paraboloid
    • Table 1. Calculated values of mutual tilt angles corresponding to different layers of 3# sample

      View table

      Table 1. Calculated values of mutual tilt angles corresponding to different layers of 3# sample

      Layer number N50100150200250300
      Mutual tilt angle θ /mrad25.6822.9323.1224.7125.1823.06
    • Table 2. Calculation values of relative transverse offsets and mutual tilt angles

      View table

      Table 2. Calculation values of relative transverse offsets and mutual tilt angles

      Lens sample

      Relative transverse

      offset Δd /μm

      Mutual tilt

      angle θ /mrad

      1#48.7582.90
      2#23.8110.59
      3#32.6625.18
      4#21.3756.29
      5#20.0527.87
      6#24.1728.46
    • Table 3. Calculated values of curvature radii at vertex of paraboloid based on CT and LSCM data

      View table

      Table 3. Calculated values of curvature radii at vertex of paraboloid based on CT and LSCM data

      Lens sampleCurvature radius R for upper paraboloidCurvature radius R for lower paraboloid
      CTLSCMCTLSCM
      1#1067.281058.041064.031055.79
      2#1018.631019.681020.201021.14
      3#1029.201025.961046.551030.29
      4#1049.161057.64992.75987.36
      5#1051.561059.431030.601024.80
      6#1074.731063.381111.731105.22
    Tools

    Get Citation

    Copy Citation Text

    Wanjia Yin, Zengyan Zhang, Xiaohao Dong. Characterization of Hyperboloid X-Ray Refractive Lens Profiles Based on Point Cloud Processing Method[J]. Acta Optica Sinica, 2025, 45(7): 0734002

    Download Citation

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

    Category: X-Ray Optics

    Received: Dec. 5, 2024

    Accepted: Jan. 20, 2025

    Published Online: Apr. 27, 2025

    The Author Email: Zengyan Zhang (zhangzy@sari.ac.cn), Xiaohao Dong (dongxh@sari.ac.cn)

    DOI:10.3788/AOS241845

    CSTR:32393.14.AOS241845

    Topics