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《中国物理C》(英文)编辑部
2024年10月30日

Investigation of a method to calculate spontaneous radiation spectrafrom relativistic electrons in undulators

  • Undulators are key devices to produce brilliant synchrotron radiation at the synchrotron radiation facilities. In this paper we present a numerical computing method, including the computing program that has been developed to calculate the spontaneous radiation emitted from relativistic electrons in undulators by simulating the electrons' trajectory. The effects of electron beam emittance and energy spread have also been taken into account. Comparing with other computing methods available at present, this method has a few advantages with respect to several aspects. It can adopt any measured or arbitrarily simulated 3D magnetic field and arbitrary electron beam pattern for the calculation and it's able to analyze undulators of any type of magnetic structure. It's expected to predict precisely the practical radiation spectrum. The
    calculation results of a short period in-vacuum undulator and an Elliptically Polarized Undulator (EPU) at Shanghai Synchrotron Radiation Facility (SSRF) are presented as examples.

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  • [1] . MA L D, YAN F J. Introduction to Synchrotron Radiation Applications. Shanghai: Fudan University Press, 2001, 30(in Chinese)2. Walker R P. Insertion Devices: Undulators and Wigglers.CERN, 1998, 98-04: 1293. Takashi Tanaka, Hideo Kitamura. J. Synchrotron Rad.,2001, 8: 12214. Sanchez del Rio Dejus M R J. SPIE Proceedings, 1998,3448: 3405. Ilinski P, Dejus R J, Gluskun E, Morrison T I. SPIE Pro-ceedings, 1996, 2856: 156. Walker R P, Diviacco B. Rev. Sci. Instrum., 1992, 63(1):3927. Boyanov B I, Bunker G, Lee J M, Morrison T I. Nucl. In-strum. Methods A, 1994, 339: 5968. Chubar O, Elleaume P. Proc. of the EPAC98 Conference.Institute of Physics Publishing, Bristol, BSL, GBE, UK:1998, 1177-11799. WANG C, XIAN D. Nucl. Instrum. Methods A, 1990, 288:64910. LIU J Y, XU H L, HE D H. Chinese Journal of Lasers A,1999, 26(5): 400 (in Chinese)11. DIAO C Z, LIU J Y, HE D H, JIA Q K, XU H L. Jour-nal of University of Science and Technology of China, 1999,29(1): 60 (in Chinese)12. YANG Z H, WANG Y Z. High Power Laser and ParticleBeams, 1999, 11(5): 575 (in Chinese)13. ZHOU Q G, DAI Z M, XU H J. HEP NP, 2004, 28(7):785. (in Chinese)14. CHEN N, ZHANG P F, HE Duo-Hui et al. Nuclear Scienceand Techniques, 2005, 28(4): 258 (in Chinese)15. Jackson J D. Classical Electrodynamics. New York: Wiley,197516. YAN W P, SUN Z Z, WU H W, WEN Z C. CalculationMethod and Practice. Nanjing: Southeast University Press,2000, 148 (in Chinese)17. Dejus R J. Nucl. Instrum. Methods A, 1994, 347: 6118. WANG Chun-Xi. Proc. SPIE, 1993, 2013: 12619. Diviacco B, Walker R P. Nucl. Instrum. Methods A, 1996,368: 52220. Elleaume P. Nucl. Instrum. Methods A, 2000, 455: 50321. Dattoli G, Renieri A, Torre A. Lectures on FEL and Re-lated Topics. Singapore: World Scienti c, 199322. Blewett J P, Chasman R. J.Appl. Phys., 1997, 48: 2692
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Get Citation
CHEN Ming-Zhi and HE Jian-Hua. Investigation of a method to calculate spontaneous radiation spectrafrom relativistic electrons in undulators[J]. Chinese Physics C, 2009, 33(1): 58-64. doi: 10.1088/1674-1137/33/1/013
CHEN Ming-Zhi and HE Jian-Hua. Investigation of a method to calculate spontaneous radiation spectrafrom relativistic electrons in undulators[J]. Chinese Physics C, 2009, 33(1): 58-64.  doi: 10.1088/1674-1137/33/1/013 shu
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Received: 2008-01-04
Revised: 2008-07-18
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Investigation of a method to calculate spontaneous radiation spectrafrom relativistic electrons in undulators

    Corresponding author: HE Jian-Hua,

Abstract: 

Undulators are key devices to produce brilliant synchrotron radiation at the synchrotron radiation facilities. In this paper we present a numerical computing method, including the computing program that has been developed to calculate the spontaneous radiation emitted from relativistic electrons in undulators by simulating the electrons' trajectory. The effects of electron beam emittance and energy spread have also been taken into account. Comparing with other computing methods available at present, this method has a few advantages with respect to several aspects. It can adopt any measured or arbitrarily simulated 3D magnetic field and arbitrary electron beam pattern for the calculation and it's able to analyze undulators of any type of magnetic structure. It's expected to predict precisely the practical radiation spectrum. The
calculation results of a short period in-vacuum undulator and an Elliptically Polarized Undulator (EPU) at Shanghai Synchrotron Radiation Facility (SSRF) are presented as examples.

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