Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

ZHANG Zhuo

doi:10.1088/1674-1137/32/3/010

Chinese Physics C> 2008, Vol. 32> Issue(3) : 209-214 DOI: 10.1088/1674-1137/32/3/010

Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

ZHANG Zhuo ^, ,

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the nonlinear transport of intense bunched beams in electrostatic quadrupoles is analyzed using the Lie algebraic method, and the results are briefly presented of the linear matrix approximation and the second order correction of particle trajectory in the state space. Beam having K-V distribution and Gaussian distribution approximation are respectively considered. A brief discussion is also given of the total effects of the quadrupole and the space charge forces on the evolution of the beam envelope.

References

[1]

. Dragt A J. Physics of High Energy Particle Accelerators.In: Carrigan R A et al. AIP Conference Proceedings No.87. New York: Am. Inst. Phys., 1987. 1472. Goldstein H. Classical Mechanics. 2nd ed. Massachusetts:Addison-Wesley, 1980. 3783. Takayama K. Lettere al Nuovo Cimento, 1982, 34(7): 1904. LI Jin-Hai. Lie Algebraic Analysis and Program Design for the Nonlinear Transport of Beam in Accelerators. Peking University: Thesis for a Doctor's Degree, 2005 (in Chinese)

[1]	Sheng-Dong Gu , Wei-Bin Liu . Uniform transverse beam profile with a new type of nonlinear magnet. Chinese Physics C, 2017, 41(6): 067003. doi: 10.1088/1674-1137/41/6/067003
[2]	Yan-Yu Wang , De-Tai Zhou , Jin-Fu Luo , Jian-Chuan Zhang , Wen-Xiong Zhou , Fa-Fu Ni , Jun Yin , Jia Yin , You-Jin Yuan , Jing-Bin Shang-Guan . Beam transport experiment with a new kicker control system on the HIRFL. Chinese Physics C, 2016, 40(4): 047003. doi: 10.1088/1674-1137/40/4/047003
[3]	ZHU Jun , ZHANG Huang , PENG Shi-Xiang , REN Hai-Tao , XIA Lian-Sheng , WANG Wen-Dou , YANG Zhi-Yong , SHEN Yi , SHI Jin-Shui , ZHANG Lin-Wen , DENG Jian-Jun . Beam transport design for a 1 MeV prototype dielectric wall accelerator. Chinese Physics C, 2014, 38(4): 047001. doi: 10.1088/1674-1137/38/4/047001
[4]	WEN Wei-Qiang , MA Xin-Wen , ZHANG Da-Cheng , ZHU Xiao-Long , MENG Ling-Jie , LI Jie , LIU Hui-Ping , ZHAO Dong-Mei , WANG Zhi-Shuai , MAO Rui-Shi , ZHAO Tie-Cheng , WU Jun-Xia , MA Xiao-Ming , YAN Tai-Lai , LI Guo-Hong , YANG Xiao-Dong , LIU Yong , YANG Jian-Cheng , YUAN You-Jin , XIA Jia-Wen , XU Hu-Shan , XIAO Guo-Qing , ZHAO Hong-Wei . Longitudinal Schottky spectra of a bunched Ne¹⁰⁺ ion beam at the CSRe. Chinese Physics C, 2013, 37(10): 107005. doi: 10.1088/1674-1137/37/10/107005
[5]	ZHANG Zhuo , YANG Guo-Jun , . Lie algebraic analysis and simulation of high-current pulsed beam transport in a solenoidal lens. Chinese Physics C, 2010, 34(1): 134-137. doi: 10.1088/1674-1137/34/1/025
[6]	GAO Jie . Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings. Chinese Physics C, 2009, 33(2): 135-144. doi: 10.1088/1674-1137/33/2/012
[7]	ZHAO Xiao-Song , LV Jian-Qin . Comparison of the PIC model and the Lie algebraic method in the simulation of intense continuous beam transport. Chinese Physics C, 2009, 33(S2): 125-127. doi: 10.1088/1674-1137/33/S2/032
[8]	LV Jian-Qin , ZHAO Xiao-Song . Intense DC beam nonlinear transport-analysis & simulation. Chinese Physics C, 2009, 33(S2): 121-124. doi: 10.1088/1674-1137/33/S2/031
[9]	WANG Bao-Yi , MA Yan-Yun , WANG Ping , CAO Xing-Zhong , QIN Xiu-Bo , ZHANG Zhe , YU Run-Sheng , WEI Long . Development and application of the intense slow positron beam at IHEP. Chinese Physics C, 2008, 32(2): 156-159. doi: 10.1088/1674-1137/32/2/016
[10]	LÜ Jian-Qin , ZHAO Xiao-Song , ZHANG Zhuo . Lie Map for the Intense dc Beam Transport in Solenoids. Chinese Physics C, 2008, 32(S1): 241-243.
[11]	ZHAO Xiao-Song , LÜ Jian-Qin . Computer simulations for intense continuous beam transport in electrostatic lens systems. Chinese Physics C, 2008, 32(9): 750-753. doi: 10.1088/1674-1137/32/9/013
[12]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Electrostatic Analyzers With Lie Algebraic Methods. Chinese Physics C, 2005, 29(7): 695-699.
[13]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Wein Filter with Lie Algebraic Method. Chinese Physics C, 2004, 28(9): 998-1001.
[14]	LI Yong-Jun , WANG Lin , FENG Guang-Yao , XU Hong-Liang , LI Wei-Min , LIU Zu-Ping . Study of Insertion Device's Influence on Nonlinear Beam Dynamics in Electron Storage Ring Using Lie Algebra. Chinese Physics C, 2003, 27(9): 819-823.
[15]	LU Jian-Qin , LI Jin-Hai , LI Chao-Long . Nonlinear Transport of the Intense Pulsed Gaussian Beams in Magnetic Quadrupoles. Chinese Physics C, 2003, 27(10): 926-931.
[16]	LV Jian-Qin , LI Chao-Long , LI Jin-Hai . Lie Algebraic Analysis for the Nonlinear Transport of Intense Pulsed Beams in Electrostatic Lenses. Chinese Physics C, 2003, 27(1): 76-82.
[17]	LI Jin-Hai , LI Chao-Long , LU Jian-Qin . Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles. Chinese Physics C, 2003, 27(7): 645-648.
[18]	LV Jian-Qin . Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[19]	Chen Yinbao , Huang Zhibin , Fu Shinian . Difference of Field Energy of a Bunched Beam Induced by Beam-Pipe Size Changes. Chinese Physics C, 1996, 20(S3): 301-306.
[20]	Yu Qingchang . Transport of Charged Particle Beams in Nonlinear Periodic Fields. Chinese Physics C, 1993, 17(S1): 39-43.

Access

Get Citation

ZHANG Zhuo and Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles[J]. Chinese Physics C, 2008, 32(3): 209-214. doi: 10.1088/1674-1137/32/3/010

ZHANG Zhuo and Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles[J]. Chinese Physics C, 2008, 32(3): 209-214. doi: 10.1088/1674-1137/32/3/010 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-02-25
Revised: 2007-05-14

Article Metric

Article Views(5782)
PDF Downloads(707)
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

Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

Corresponding author: ZHANG Zhuo,

Received Date: 2007-02-25

Accepted Date: 2007-05-14

Available Online: 2008-03-05

Abstract:

In this paper, the nonlinear transport of intense bunched beams in electrostatic quadrupoles is analyzed using the Lie algebraic method, and the results are briefly presented of the linear matrix approximation and the second order correction of particle trajectory in the state space. Beam having K-V distribution and Gaussian distribution approximation are respectively considered. A brief discussion is also given of the total effects of the quadrupole and the space charge forces on the evolution of the beam envelope.

HTML

Reference (1)

Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article