Acta Optica Sinica, Volume. 39, Issue 6, 0623002(2019)

Surface Reconstruction of Large Aperture Plane Optical Components Based on Method of Relative Angle Difference

Ling Wu1、*, Niannian Chen1, Yong Fan1, and Yidong Ye2
Author Affiliations
  • 1 School of Computer Science and Technology, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China
  • 2 Institute of Applied Electronics, Chinese Academy of Engineering Physics, Mianyang, Sichuan 621900, China
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    Figures & Tables(12)
    Principle of topography measurement system with relative angle difference. (a) Top view of measurement system; (b) diagram of catwalk measurement
    Laser spot array obtained by CCD
    Schematic for scanning process on measured surface
    Reconstruction results with Gaussian noise (σ=0.2″). (a) Simulated surface to be tested; (b) reconstruction with CuRe method; (c) reconstruction with Zernike wavefront
    Two different curved surfaces for simulation. (a) Z1; (b) Z2
    Comparison of reconstructed surface Z1 and residual errors with Gaussian noise (σ=0.2″). (a) Reconstruction result with proposed method; (b) reconstruction result with Zernike wavefront method; (c) reconstruction result with SLI method; (d) reconstructed residual error of proposed method; (e) reconstructed residual error of Zernike wavefront method; (f) reconstructed residual error of SLI method
    Comparison of reconstructed surface Z2 and residual errors with Gaussian noise (σ=0.2″). (a) Reconstruction result with proposed method; (b) reconstruction result with Zernike wavefront method; (c) reconstruction result with SLI method; (d) residual error of proposed method; (e) residual error of Zernike wavefront method; (f) residual error of SLI method
    Reconstruction error statistics at different noise levels (σ=0-1 μrad). (a) 200 mm×200 mm, 17×17 sampling points; (b) 200 mm×200 mm, 34×34 sampling points; (c) 400 mm×400 mm, 34×34 sampling points
    Four repeated test results for small aperture optical component. (a) Topography measured by interferometer; (b)-(e) reconstruction results of proposed method; (f)-(i) reconstruction results with Zernike wavefront method
    Two repeated test results for large aperture optical component. (a)(d) Topographies measured by interferometer; (b)(e) reconstruction results of proposed method; (c)(f) reconstruction results with Zernike wavefront method
    Comparison of corresponding rows between reconstruction results of proposed method and topographies measured by interferometer. (a) y=75 mm; (b) y=175 mm
    • Table 1. RMSE statistics of repeated test for two different mirrors

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      Table 1. RMSE statistics of repeated test for two different mirrors

      AlgorithmSmall aperture mirror (RMSE) /μmLarge aperture mirror (RMSE) /μm
      Test 1Test 2Test 3Test 4Test 1Test 2
      Zernike wavefront0.57330.49150.50720.73050.94360.0793
      Proposed0.06380.07110.06740.06440.03510.0246
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    Ling Wu, Niannian Chen, Yong Fan, Yidong Ye. Surface Reconstruction of Large Aperture Plane Optical Components Based on Method of Relative Angle Difference[J]. Acta Optica Sinica, 2019, 39(6): 0623002

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    Paper Information

    Category: Optical Devices

    Received: Jan. 2, 2019

    Accepted: Mar. 4, 2019

    Published Online: Jun. 17, 2019

    The Author Email: Wu Ling (wuling751@126.com)

    DOI:10.3788/AOS201939.0623002

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