Volume 15 Issue 3
May  2022
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Chinese Optics  > 2022  >  15(3): 508-513.
LI Tong, WANG Nan, ZHU Wan-Qian, REN Zu-Yang, JIN Li-Min, XUE Song. Optimal design of variable cross-section compression-bending ellipsoidal cylindrical mirror[J]. Chinese Optics, 2022, 15(3): 508-513. doi: 10.37188/CO.2021-0179
Citation: LI Tong, WANG Nan, ZHU Wan-Qian, REN Zu-Yang, JIN Li-Min, XUE Song. Optimal design of variable cross-section compression-bending ellipsoidal cylindrical mirror[J]. Chinese Optics, 2022, 15(3): 508-513. doi: 10.37188/CO.2021-0179
shu

Optimal design of variable cross-section compression-bending ellipsoidal cylindrical mirror

  • 1.

    Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China

  • 2.

    University of Chinese Academy of Sciences, Beijing 100049, China

  • 3.

    Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201800, China

Funds:  Supported by National Natural Science Foundation of China(No. 11805262)
More Information
  • Corresponding author: xuesong@zjlab.org.cn
  • Received Date: 18 Oct 2021
  • Rev Recd Date: 22 Nov 2021
  • Accepted Date: 21 Jan 2022
    • Available Online: 27 Jan 2022
  • Publish Date: 20 May 2022
    Abstract
  • To meet the needs of the synchrotron radiation beamline station project under construction, a design scheme of variable cross-section bending ellipsoidal cylindrical mirror is proposed. In this scheme, the calculation formula of the slope error of the variable-section (with sagittal focus) mirror is deduced based on the design theory of variable-width bending ellipticalcylindrical focusing mirrors , and the design is optimized. This project is designed based on the optical parameters of the focusing lens (object distance p, image distance q and grazing incidence angle θ), and the design error of mirror is calculated by finite element analysis software. The results show that within the given requirements, the optimal widths at both ends of the mirror are 49.5 mm and 90.5 mm. After calculating, simulating and optimizing, the slope error RMS value of the bending moments at both ends of the mirror is reduced from ~5.1368 μrad to ~0.0636 μrad (at 1 m of length), close to the system error ~0.0407 μrad, meeting the design requirements.

     

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