Volume 13 Issue 4
Aug.  2020
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ZHOU Bo-wen, WANG Nan, ZHU Wan-qian, XUE Song, TIAN Ying-zhong. Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror[J]. Chinese Optics, 2020, 13(4): 778-786. doi: 10.37188/CO.2019-0250
Citation: ZHOU Bo-wen, WANG Nan, ZHU Wan-qian, XUE Song, TIAN Ying-zhong. Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror[J]. Chinese Optics, 2020, 13(4): 778-786. doi: 10.37188/CO.2019-0250

Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror

doi: 10.37188/CO.2019-0250
Funds:  Supported by National Natural Science Foundation of China (No.11675253)
More Information
  • In this paper, the surface shape error of latest elliptical bending mechanism with a constant cross-section mirror is studied when the object distance is fixed (when the position of the mirror in the light path is invariable) and the image distance is adjusted drastically (when the position of the sample is changed). Based on theoretical analysis and the finite element analysis, theoretical slope error is calculated when it is caused by bending a mirror with a width equal to an elliptical cylinder with a different shape (different image distances at the reflection point). Then, a bending experiment of a prototype of the elliptical bending mechanism is conducted. Experimental results and analysis indicate that the slope error between the bending mirror and an ideal elliptic cylinder will increase with a decrease in image distance, and the slope error of the mirror will increase more quickly as the image distance is shortened. When the initial slope error of the reflecting mirror is 0.397 μrad, the slope error of the bent mirror in the whole range of image distance (21.5~3.8 m) is 0.402~0.560 μrad and the repeatable accuracy is 0.051 urad, which meets the design requirements of the beamline of the Shanghai Synchrotron Radiation Facility (SSRF). It is proven that in elliptically bending mirrors, continuous adjustment of the image distance from the focusing mirror can be achieved by using a bending mechanism with constant cross-section mirror.
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Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror

doi: 10.37188/CO.2019-0250
Funds:  Supported by National Natural Science Foundation of China (No.11675253)

Abstract: In this paper, the surface shape error of latest elliptical bending mechanism with a constant cross-section mirror is studied when the object distance is fixed (when the position of the mirror in the light path is invariable) and the image distance is adjusted drastically (when the position of the sample is changed). Based on theoretical analysis and the finite element analysis, theoretical slope error is calculated when it is caused by bending a mirror with a width equal to an elliptical cylinder with a different shape (different image distances at the reflection point). Then, a bending experiment of a prototype of the elliptical bending mechanism is conducted. Experimental results and analysis indicate that the slope error between the bending mirror and an ideal elliptic cylinder will increase with a decrease in image distance, and the slope error of the mirror will increase more quickly as the image distance is shortened. When the initial slope error of the reflecting mirror is 0.397 μrad, the slope error of the bent mirror in the whole range of image distance (21.5~3.8 m) is 0.402~0.560 μrad and the repeatable accuracy is 0.051 urad, which meets the design requirements of the beamline of the Shanghai Synchrotron Radiation Facility (SSRF). It is proven that in elliptically bending mirrors, continuous adjustment of the image distance from the focusing mirror can be achieved by using a bending mechanism with constant cross-section mirror.

ZHOU Bo-wen, WANG Nan, ZHU Wan-qian, XUE Song, TIAN Ying-zhong. Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror[J]. Chinese Optics, 2020, 13(4): 778-786. doi: 10.37188/CO.2019-0250
Citation: ZHOU Bo-wen, WANG Nan, ZHU Wan-qian, XUE Song, TIAN Ying-zhong. Variable image distance bending using an elliptical bending mechanism with a constant cross-section mirror[J]. Chinese Optics, 2020, 13(4): 778-786. doi: 10.37188/CO.2019-0250

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