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]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[2]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[3]	LI Ming-Liang , ZHU Sheng-Jiang , CHE Xing-Lai , YU Ying-Nan . Research on Two-Quasiparticle Bands in ⁹⁸Sr. Chinese Physics C, 2004, 28(S1): 75-77.
[4]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[5]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[6]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[7]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[8]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[9]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

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(3674)
PDF Downloads(667)
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.