Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

LI Jin-Hai; LU Jian-Qin

Chinese Physics C> 2004, Vol. 28> Issue(9) : 998-1001

Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

LI Jin-Hai ^, ,
LU Jian-Qin

Institute of Heavy Lon Physics,Peking University,Beijing 100871,China

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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.

References

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. 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

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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

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Received: 2004-01-04
Revised: 1900-01-01

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Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

LI Jin-Hai ^,
LU Jian-Qin

Corresponding author: LI Jin-Hai,

Institute of Heavy Lon Physics,Peking University,Beijing 100871,China

Received Date: 2004-01-04
Accepted Date: 1900-01-01
Available Online: 2004-09-05

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.