Supported by National Major Scientific Instruments and Equipment Development Projects;Young Scholars Development Cooperation Group of Shanghai Institute of Applied Physics, Chinese Academy of Sciences
Haiyun ZHANG, Wanqian ZHU, Hongliang QIN, et al. Study on crystal bending performance of high energy Laue monochromator[J]. Nuclear techniques, 2017, 40(1): 010101
DOI:
Haiyun ZHANG, Wanqian ZHU, Hongliang QIN, et al. Study on crystal bending performance of high energy Laue monochromator[J]. Nuclear techniques, 2017, 40(1): 010101 DOI: 10.11889/j.0253-3219.2017.hjs.40.010101.
Study on crystal bending performance of high energy Laue monochromator
A water-cooled high energy double Laue crystal monochromator (DLM) will be employed on ultra-hard applications beamline to be built in phase II project at Shanghai Synchrotron Radiation Facility (SSRF). Its crystal bending performance is very important for satisfying design requirements.
Purpose:
This study aims to find appropriate coupled meridional and sagittal bending of the bender
to obtain optimal the monochromatic beam flux and energy resolution.
Methods:
The rigidity matrix of the crystal was calculated by using MATLAB. Two main factors
anisotropic elasticity of the asymmetric-cut crystal and aspect ratio
are considered to optimize the crystal bendings by finite element analysis (FEA) using ANSYS Workbench.
Results & Conclusion:
Analysis results show the cutting edge of crystal length and width goes along the[011] and[0-11]
direction
respectively. The optimized crystal geometry is 90 mm×40 mm×1 mm. Furthermore
the meridional and sagittal slope errors of the crystal are 3.02 μrad and 1.25 μrad
respectively
which meet the requirements well.
关键词
Keywords
references
Zhang L, Baker R, Barrett R, et al. Mirror profile optimization for nano-focusing KB mirror[C]. American Institute of Physics Conference Proceedings, Melbourne, Australia, 2010:801-804. DOI:10.1063/1.3463335 http://dx.doi.org/DOI:10.1063/1.3463335 .
M A Hopcroft , W D Nix , T W Kenny . What is the young's modulus of silicon? . Journal of Microelectro-mechanical Systems , 2010 . 19 ( 2 ): 229 - 238 . DOI: 10.1109/JMEMS.2009.2039697 http://doi.org/10.1109/JMEMS.2009.2039697 .
J J Wortman , R A Evans . Young's modulus, shear modulus, and poisson's ratio in silicon and germanium . Journal of Applied Physics , 1965 . 36 ( 1 ): 153 - 156 . DOI: 10.1063/1.1713863 http://doi.org/10.1063/1.1713863 .
L Zhang , R Barrett , P Cloetens , . Anisotropic elasticity of silicon and its application to the modelling of X-ray optics . Journal of Synchrotron Radiation , 2001 . 21 ( 3 ): 507 - 517 . DOI: 10.1107/S1600577514004962 http://doi.org/10.1107/S1600577514004962 .
Zhang L. Anisotropy and crystal orientation of silicon-application to the modeling of a bent mirror[C]. American Institute of Physics Conference Proceedings, Melbourne, Australia, 2010:797-800. DOI:10.1063/1.3463333 http://dx.doi.org/DOI:10.1063/1.3463333 .
Kaajakari V. Silicon as an anisotropic mechanical material-a tutorial[EB/OL]. 2003-4-2[2016-7-20] . http://kaajakari.net/~ville/research/tutorials/elasticity_tutorial.pdf http://kaajakari.net/~ville/research/tutorials/elasticity_tutorial.pdf .
X B Shi , S Ghose , Z Zhong , . Surface curvatures and diffraction profiles of sagittaly bent Laue crystals . Journal of Applied Crystallography , 2011 . 44 ( 4 ): 665 - 671 . DOI: 10.1107/S0021889811018711 http://doi.org/10.1107/S0021889811018711 .
M Krisch . Study of dynamically bent crystals for X-ray focusing optics . Nuclear Instruments and Methods in Physics Research , 1991 . 305 ( 1 ): 378 - 381 . DOI: 10.1016/0168-9002(91)90536-Y http://doi.org/10.1016/0168-9002(91)90536-Y .