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Chinese Physics, 2006, Vol. 15(6): 1226-1230    DOI: 10.1088/1009-1963/15/6/016
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Control of beam halo-chaos by sample function

Bai Long (白龙)a, Zhang Rong (张荣)a, Weng Jia-Qiang (翁甲强)b, Luo Xiao-Shu (罗晓曙)b, Fang Jin-Qing (方锦清)c 
a College of Science, China University of Mining and Technology, Xuzhou 221008, China; b College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China; c China Institute of Atomic Energy, Beijing 102413, China
Abstract  The K-V beam through an axisymmetric uniform-focusing channel is studied using the particle--core model. The beam halo-chaos is found, and a sample function controller is proposed based on mechanism of halo formation and strategy of controlling halo-chaos. We perform multiparticle simulation to control the halo by using the sample function controller. The numerical results show that our control method is effective. We also find that the radial ion density changes when the ion beam is in the channel: not only can the halo-chaos and its regeneration be eliminated by using the sample function control method, but also the density uniformity can be found at the beam's centre as long as an appropriate control method is chosen.
Keywords:  eam halo-chaos      sample function      radial ion density      uniform-focusing channel  
Received:  10 July 2005      Revised:  07 March 2006      Accepted manuscript online: 
PACS:  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Gg (Control of chaos, applications of chaos)  
  42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10247005 and 70071047) and the Scientific Research Foundation of China University of Mining and Technology for the Young (Grant No 2005A037).

Cite this article: 

Bai Long (白龙), Zhang Rong (张荣), Weng Jia-Qiang (翁甲强), Luo Xiao-Shu (罗晓曙), Fang Jin-Qing (方锦清) Control of beam halo-chaos by sample function 2006 Chinese Physics 15 1226

[1] Control of beam halo-chaos by Gauss function in the triangle periodic-focusing channel
Yu Hai-Jun(余海军), Bai Long(白龙), Weng Jia-Qiang(翁甲强), Luo Xiao-Shu(罗晓曙), and Fang Jin-Qing(方锦清). Chin. Phys. B, 2008, 17(7): 2433-2437.
[2] Controlling beam halo-chaos via backstepping design
Gao Yuan(高远) and Kong Feng(孔峰). Chin. Phys. B, 2008, 17(4): 1209-1215.
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