Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method

YANG Jian-Cheng; XIA Jia-Wen; WU Jun-Xia; XIA Guo-Xing; LIU Wei; YIN Xue-Jun

Chinese Physics C> 2004, Vol. 28> Issue(1) : 82-87

Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China2 The Graduate School of Chinese Academy of Sciences,Beijing 100039,China

Abstract
HTML
Reference
Related

PDF

Abstract：
The determination of dynamic aperture is a critical issue in circular accelerator. In this paper, we solved the equation of motion including non-linear forces by using successive linearization method and got a criterion for the determining of the dynamic aperture of the machine. Applying this criterion, a storage ring with FODO lattice has been studied. The results are agree well with the tracking results in a large range of linear turn(Q). The purpose is to improve our understanding of the mechanisms driving the particle motion in the presence of non-linear forces and got another mechanism driving instability of particle in storage ring-parametric resonance caused by “fluctuating transfer matrices” at small amplification.

References

[1]

.Ropert A.Dynamic Aperture.In:CERN 90204.19902.Guignard G.Chromaticity:Nonlinear Aberration.In:CERN 87203.19873.Ando A.Particle Accelerators,1984,15:1774.Willeke F.Analytical Study of the Tevatron Nonlinear Dynamics.In:FN2422.FNAL.19845.Collins T.Distortion Function.In:Tech Note Fermilab284P114.19846.Forest E.Lie Algebraic Methods for Charged Particle Beams and LightOptics.Ph.D.Thesis.Univ.Maryland.19847.Courant E,Snyder H.Ann.Phys.(N.Y),1958,3:488.Hagel J.Analytic Calculation of the Off2Momentum Closed Orbit in Stor2age Rings with Insertions and Sextupoles.In: CERNPLEP2THP84218.19849.Guignard G,Hagel J.Particle Accelerators,1986,18:12910.Keil E.Single Particle Dynamics2Linear Machine Lattice.In:CERN 77213.Geneva:1977.2211.Christoph Iselin F.The Mad Program(Methodical Accelerator Design)12.Wiedemann H.Chromaticity Correction in Large Storage Rings.In:(SLAC) PEP20220.197613.Guignard G.First Order Chromatic Perturbation and Sextupole Strength.In:CERN ISR2THP82214.198214.GAO J.Nucl.Instrum.Meth.,2000,A451:545

[1]	JI Xiang-Dong , MA Jian-Ping , YUAN Feng . QCD Factorization for Semi-inclusive Deep-Inelastic Scattering at Low Transverse Momentum. Chinese Physics C, 2007, 31(9): 857-859.
[2]	LI Xue-Qin , ZHANG Ying-Xun , TIAN Jun-Long , LI Zhu-Xia , WU Xi-Zhen , ZHU Li-Hua . Dynamic Study on Entrance-Channel Effects in Heavy-Ion Fusion Reactions. Chinese Physics C, 2006, 30(S2): 196-198.
[3]	ZHAO Kai , LI Zhu-Xia , WU Xi-Zhen , WANG Ning , ZHANG Ying-Xun , TIAN Jun-Long , ZHANG Huan-Qiao , LIU Zu-Hua . Dynamic Model Study of Fusion Reactions for ^40,48Ca+^90,96Zr. Chinese Physics C, 2006, 30(1): 26-31.
[4]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[5]	TIAN Jun-Long , WU Xi-Zhen , LI Zhu-Xia . Study on Dynamic Fusion Barrier in Heavy-Ion Fusion Reactions. Chinese Physics C, 2006, 30(5): 428-434.
[6]	ZHAI Ji-Yuan , TANG Chuan-Xiang , ZHENG Shu-Xin . Experimental Study on the Beam Dynamics of Micro-Pulse Electron Gun. Chinese Physics C, 2006, 30(S1): 99-101.
[7]	CHEN Yong , HUANG Wen-Hui , TANG Chuan-Xiang . Dynamics Study of the Rhodotron Accelerator. Chinese Physics C, 2005, 29(2): 180-185.
[8]	FENG Zhao-Qing , JIN Gen-Ming , ZHANG Feng-Shou , FU Fen , HUANG Xi . Dynamical Study on Fusion Mechanism near Coulomb Barrier. Chinese Physics C, 2005, 29(12): 1157-1161.
[9]	TIAN Jun-Long , WU Xi-Zhen , LI Zhu-Xia , WANG Ning , LIU Fu-Hu . Study on Fusion Potential Barrier in Heavy Ion Reactions Based on the Dynamical Model. Chinese Physics C, 2004, 28(7): 725-732.
[10]	WU Xi-Zhen , TIAN Jun-Long , WANG Ning , ZHAO Kai , LI Zhu-Xia . Microscopic Study on Dynamic Barrier in Fusion Reactions. Chinese Physics C, 2004, 28(12): 1317-1323.
[11]	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.
[12]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[13]	ZENG XiangHua , ZHANG FengShou , LUO YiXiao . Study on the Decay Dynamics of Hot Nuclei. Chinese Physics C, 2000, 24(6): 535-540.
[14]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[15]	Shi Kangjie , Li Guangliang , Fan Heng , Hou Boyu . . Chinese Physics C, 1998, 22(12): 1100-1111.
[16]	Luo Zihua , Wang Shuhong . Design and Study of Beam Dynamics for the BPL-RFQ. Chinese Physics C, 1995, 19(7): 658-666.
[17]	Liu Jianye , Zhang Shaoguang . Dynamical Study on Processes of Intermediate-Energy Heavy Ion Collisions. Chinese Physics C, 1995, 19(1): 53-58.
[18]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (I) DYNAMICS DEPENDENCE OF ENERGY. Chinese Physics C, 1990, 14(6): 561-568.
[19]	WG SHU-HIUNG . BEAM DYNAMICS DESIGN STUDY FOR RFQ LINAC. Chinese Physics C, 1982, 6(4): 428-434.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

YANG Jian-Cheng, XIA Jia-Wen, WU Jun-Xia, XIA Guo-Xing, LIU Wei and YIN Xue-Jun. Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method[J]. Chinese Physics C, 2004, 28(1): 82-87.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-02-20
Revised: 1900-01-01

Article Metric

Article Views(2930)
PDF Downloads(665)
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

Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method

Corresponding author: YANG Jian-Cheng,

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China2 The Graduate School of Chinese Academy of Sciences,Beijing 100039,China

Received Date: 2003-02-20

Accepted Date: 1900-01-01

Available Online: 2004-01-05

Abstract: The determination of dynamic aperture is a critical issue in circular accelerator. In this paper, we solved the equation of motion including non-linear forces by using successive linearization method and got a criterion for the determining of the dynamic aperture of the machine. Applying this criterion, a storage ring with FODO lattice has been studied. The results are agree well with the tracking results in a large range of linear turn(Q). The purpose is to improve our understanding of the mechanisms driving the particle motion in the presence of non-linear forces and got another mechanism driving instability of particle in storage ring-parametric resonance caused by “fluctuating transfer matrices” at small amplification.

HTML

Reference (1)

Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article