Motion of the Reference Particle in an Alpha Magnet

  • Alpha magnet is an important component of a short-bunch electron beam injector. In order to realize an achromatic transport , the reference particle should be injected into the alpha magnet with a correct angle. This paper describes an attempt to solve the equations of motion of the reference particle and to find the correct angle. The result, including how to determine the trajectory of the reference particle moving in the magnet, can help us understand the process of the achromatic transport of electron beam through the alpha magnet at a deeper level.
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  • [1] . Enge H A. Rev. Sci. Instr., 1963, 34: 385—3882. XIAO Xiao-Guang et al. High Power Laser and ParticleBeams, 2003, 15: 817—820(in Chinese)(肖效光等.强激光与粒子束,2003, 15: 817-820)3. Mathematical Manual. People Education Press, 1979.605—606, 1321—1322(in Chinese)(数学手册.人民教育出版社,1979. 605-606, 1321-1322)
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WU Gang and LU Hui-Hua. Motion of the Reference Particle in an Alpha Magnet[J]. Chinese Physics C, 2006, 30(S1): 49-50.
WU Gang and LU Hui-Hua. Motion of the Reference Particle in an Alpha Magnet[J]. Chinese Physics C, 2006, 30(S1): 49-50. shu
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Received: 2005-12-07
Revised: 1900-01-01
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Motion of the Reference Particle in an Alpha Magnet

    Corresponding author: WU Gang,
  • Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract: Alpha magnet is an important component of a short-bunch electron beam injector. In order to realize an achromatic transport , the reference particle should be injected into the alpha magnet with a correct angle. This paper describes an attempt to solve the equations of motion of the reference particle and to find the correct angle. The result, including how to determine the trajectory of the reference particle moving in the magnet, can help us understand the process of the achromatic transport of electron beam through the alpha magnet at a deeper level.

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