中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2433-2437.doi: 10.1088/1674-1056/17/7/016

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Control of beam halo-chaos by Gauss function in the triangle periodic-focusing channel

方锦清1, 翁甲强2, 罗晓曙2, 白龙3, 余海军4   

  1. (1)China Institute of Atomic Energy, Beijing 102413, China; (2)College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China; (3)College of Science, China University of Mining and Technology, Xuzhou 221008, China; (4)Department of Physics, Huainan Normal University, Huainan 232001, China
  • 收稿日期:2007-12-11 修回日期:2008-01-12 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10247005), the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No KJ2007B187) and the Scientific Research Foundation of China University of Mining and Technology for the Young (Grant No OK060119).

Control of beam halo-chaos by Gauss function in the triangle periodic-focusing channel

Yu Hai-Jun(余海军)a)†, Bai Long(白龙)b), Weng Jia-Qiang(翁甲强)c), Luo Xiao-Shu(罗晓曙)c), and Fang Jin-Qing(方锦清)d)   

  1. a Department of Physics, Huainan Normal University, Huainan 232001, China; b College of Science, China University of Mining and Technology, Xuzhou 221008, China; c College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China; d China Institute of Atomic Energy, Beijing 102413, China
  • Received:2007-12-11 Revised:2008-01-12 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10247005), the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No KJ2007B187) and the Scientific Research Foundation of China University of Mining and Technology for the Young (Grant No OK060119).

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摘要： This paper studies the Kapchinsky--Vladimirsky (K--V) beam through a triangle periodic-focusing magnetic field by using the particle-core model. The beam halo-chaos is found, and an idea of Gauss function controller is proposed based on the strategy of controlling the halo-chaos. It performs multiparticle simulation to control the halo by using the Gauss function control method. The numerical results show that the halo-chaos and its regeneration can be eliminated effectively, and that the radial particle density is uniform at the centre of the beam as long as the control method and appropriate parameter are chosen.

关键词: beam halo-chaos, triangle periodic-focusing magnetic field, Gauss function

Abstract: This paper studies the Kapchinsky--Vladimirsky (K--V) beam through a triangle periodic-focusing magnetic field by using the particle-core model. The beam halo-chaos is found, and an idea of Gauss function controller is proposed based on the strategy of controlling the halo-chaos. It performs multiparticle simulation to control the halo by using the Gauss function control method. The numerical results show that the halo-chaos and its regeneration can be eliminated effectively, and that the radial particle density is uniform at the centre of the beam as long as the control method and appropriate parameter are chosen.

Key words: beam halo-chaos, triangle periodic-focusing magnetic field, Gauss function

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)