Volume 15 Issue 3
May  2022
Turn off MathJax
Article Contents
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

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

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
  • 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.

     

  • loading
  • [1]
    吕清涛. 拉杆式压弯聚焦镜系统[D]. 北京: 中国科学院大学, 2010.

    LV Q T. Pull rod bending focusing lens system[D]. Beijing: University of Chinese Academy of Sciences, 2010. (in Chinese)
    [2]
    赵晨行, 卢启鹏, 宋源, 等. 自由电子激光光束线反射镜无应力夹持设计与分析[J]. 中国光学,2020,13(4):787-794. doi: 10.37188/CO.2019-0131

    ZHAO CH H, LU Q P, SONG Y, et al. Design and analysis of stress-free clamping of mirrors used in free-electron laser beamlines[J]. Chinese Optics, 2020, 13(4): 787-794. (in Chinese) doi: 10.37188/CO.2019-0131
    [3]
    秦超. 同步辐射椭圆柱面压弯镜机构的研究[D]. 北京: 中国科学院大学, 2018.

    QIN CH. Research on synchrotron radiation elliptic cylinder mirror bender[D]. Beijing: University of Chinese Academy of Sciences, 2018. (in Chinese)
    [4]
    李明, 吴介立, 吴永前, 等. X射线反射镜研制技术的现状和发展[J]. 光电工程,2020,47(8):200205.

    LI M, WU J L, WU Y Q, et al. A review on the fabrication technology of X-ray reflector[J]. Opto-Electronic Engineering, 2020, 47(8): 200205. (in Chinese)
    [5]
    秦超, 薛松, 王楠, 等. 压弯椭圆柱面镜的有限元分析[J]. 核技术,2018,41(1):010101. doi: 10.11889/j.0253-3219.2018.hjs.41.010101

    QIN CH, XUE S, WANG N, et al. The finite element analysis of the bent elliptical cylindrical mirror[J]. Nuclear Techniques, 2018, 41(1): 010101. (in Chinese) doi: 10.11889/j.0253-3219.2018.hjs.41.010101
    [6]
    程光宇, 黄智超, 王克逸, 等. 同步辐射聚焦镜压弯机构设计与面形误差分析[J]. 应用光学,2019,40(1):120-126.

    CHENG G Y, HUANG ZH CH, WANG K Y, et al. Design and surface shape error analysis of synchronous radiation focusing mirror bending mechanism[J]. Journal of Applied Optics, 2019, 40(1): 120-126. (in Chinese)
    [7]
    毛成文, 余笑寒, 肖体乔. 变宽度压弯椭圆柱面聚焦镜的光学参数可调性[J]. 核技术,2009,32(5):333-336. doi: 10.3321/j.issn:0253-3219.2009.05.003

    MAO CH W, YU X H, XIAO T Q. Tunability of optical parameters of width-variable bent elliptical microfocus mirror[J]. Nuclear Techniques, 2009, 32(5): 333-336. (in Chinese) doi: 10.3321/j.issn:0253-3219.2009.05.003
    [8]
    ENG P J, RIVERS M L, YANG B X, et al. Micro-focusing 4-KeV to 65-KeV x-rays with bent Kirkpatrick-Baez mirrors[J]. Proceedings of SPIE, 1995, 2516: 41-51. doi: 10.1117/12.221682
    [9]
    MAO CH W, XI Z J, YU X H, et al. Design optimization of a tapered mirror for microfocusing optics[J]. Chinese Physics C, 2009, 33(8): 687-690. doi: 10.1088/1674-1137/33/8/017
    [10]
    ZHANG L, HUSTACHE R, HIGNETTE O, et al. Design optimization of a flexural hinge-based bender for X-ray optics[J]. Journal of Synchrotron Radiation, 1998, 5(3): 804-807. doi: 10.1107/S0909049597015288
    [11]
    周博文, 王楠, 祝万钱, 等. 等截面反射镜椭圆压弯机构变像距压弯[J]. 中国光学,2020,13(4):778-786. doi: 10.37188/CO.2019-0250

    ZHOU B W, WANG N, ZHU W Q, et al. Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror[J]. Chinese Optics, 2020, 13(4): 778-786. (in Chinese) doi: 10.37188/CO.2019-0250
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(7)  / Tables(4)

    Article views(811) PDF downloads(148) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return