Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

  • In this paper,we analyze the nonlinear transport of the particle motions in the Wein filter up to the third order with the Lie algebraic method.First,we set up the Hamiltonian for the Wein filter;then expand the Hamiltonian into a sum of homogeneous polynomials of different degrees;finally,calculate the particle's nonlinear trajectories up to the third order.Higher orders could be obtained if necessary.
  • 加载中
  • [1] . L Jian-Qin.The Optics of Charged Particle Beams. Beijing:High Education Press, 2004. 169-171(in Chinese)(吕建钦.带电粒子束光学.北京:高等教育出版社,2004.169—171)2. Dragt A J. Lecture Notes on Nonlinear Orbit Dynamics. In: Carrigan R Aet al. ed. Physics of High Energy Particle Accelerators, AIP Conference Proceedings No. 87.New York: Am. Inst .Phys. , 19823. Dragt A J, Finn J M. J. Math.Physics, 1976, 17: 22154. Dragt A J, Forest E. J.Math. Physics, 1983, 24(13) : 27345. Kuroda Katsuhiro.Optik, 1984, 66(4) : 355
  • 加载中

Get Citation
LI Jin-Hai and LU Jian-Qin. Nonlinear Analysis for the Wein Filter with Lie Algebraic Method[J]. Chinese Physics C, 2004, 28(9): 998-1001.
LI Jin-Hai and LU Jian-Qin. Nonlinear Analysis for the Wein Filter with Lie Algebraic Method[J]. Chinese Physics C, 2004, 28(9): 998-1001. shu
Milestone
Received: 2004-01-04
Revised: 1900-01-01
Article Metric

Article Views(3696)
PDF Downloads(573)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

    Corresponding author: LI Jin-Hai,
  • Institute of Heavy Lon Physics,Peking University,Beijing 100871,China

Abstract: In this paper,we analyze the nonlinear transport of the particle motions in the Wein filter up to the third order with the Lie algebraic method.First,we set up the Hamiltonian for the Wein filter;then expand the Hamiltonian into a sum of homogeneous polynomials of different degrees;finally,calculate the particle's nonlinear trajectories up to the third order.Higher orders could be obtained if necessary.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return