Space Charge and Longitudinal Stationarity in Bunched Beams

LIU Yong

Chinese Physics C> 2003, Vol. 27> Issue(12) : 1128-1132

Space Charge and Longitudinal Stationarity in Bunched Beams

LIU Yong ^,

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

Abstract
HTML
Reference
Related

PDF

Abstract：
Impedance modelling in an accelerator is reviewed in this paper,cutoff effects is discussed both from electrodynamics and beam dynamics points of view. From Vlasov-Maxwell equation,the general solution is derived for stationary distribution with space charge and arbitrary external fields and arbitrary distribution models,which can be applied in stability analysis and simulation. The stationary distributions of two example models are solved under high current paramet-ers of heavy-ion ring-accelerators. Longitudinal“dispersion”functions are also calculated from the solved stationary distributions,which are very important for Landau damping and stability in bunched beam.

References

[1]

. Vaccaro V G .CERN ISR-RF 65–35,1966;Neil V K ,Sessler A M .Rev.Sci.Instrum.,1965,36:429 2. Neuffer D .Part.Accel.,1980,11:233. XLA J W et al.Nuclear Instruments and Methods,2002,A488:522—5274. CHAO A W ,Tigner M .Handbook of Accelerator Physics and Engineer ing,Sigapore:World Scientific,1998,1945. Wiedemann H .Particle Accelerator PhysicsⅡ,New York:Springer Ver-lag,1995 6. Al-Khateeb A M et al.Phy.Rev.,2001,E63:0265037. Reiser M .Theory and Design of Charged Particle Beams,New York:Wiley,1994

[1]	S.Golubev , A.Bokhanov , I.Izotov , S.Razin , A.Sidorov , V.Skalyga , A.Vodopyanov , V.Zorin . Gasdynamic ECR Sources of Multichared Ions (abstract only). Chinese Physics C, 2007, 31(S1): 238-238.
[2]	J.P.Briand . Applications of Highly Ionized Ion Beams (abstract only). Chinese Physics C, 2007, 31(S1): 236-236.
[3]	G.D.Alton , H.Bilheux . Elementary Theory for Optimum Extraction of Space-Charge-Dominated Ion Beams from Plasma Boundaries. Chinese Physics C, 2007, 31(S1): 201-205.
[4]	DU Ying-Chao , XIANG Dao , HUANG Wen-Hui , HE Xiao-Zhong , CHENG Cheng , DU Tai-Bin , TANG Chuan-Xiang , LIN Yu-Zheng . Transverse Phase Space Measurement Based on Computerized Tomography. Chinese Physics C, 2006, 30(9): 888-891.
[5]	SHI Guo-Fang , DENG Hui , XIONG Hua-Hui , SHI Kang-Jie . Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G. Chinese Physics C, 2004, 28(10): 1033-1039.
[6]	CAO Yun , MA Lei , ZHAO Hong-Wei , ZHANG Zi-Min , SUN Liang-Ting , LI Jing-Yu , FENG Yu-Cheng , LI Xi-Xia . Emittance Measurement of Highly Charged Ion Beams Extracted from ECR Ion Source Using Electric Sweep Scanner. Chinese Physics C, 2004, 28(8): 885-888.
[7]	LIU Wei , XIA Jia-Wen , ZHANG Wen-Zhi , LIU Yong , XIA Guo-Xing , YANG Jian-Cheng , WU Jun-Xia , YIN Xue-Jun . Investigation of the Adiabatic Capture in CSRm. Chinese Physics C, 2004, 28(1): 92-95.
[8]	HUANG Gang , CHEN Huai-Bi , HUANG Wen-Hui , TONG De-Chun , LIN Yu-Zheng , ZHAO Zhen-Tang . Development of a Longitudinal Feedback Cavity for the Beam Feedback System. Chinese Physics C, 2003, 27(12): 1138-1141.
[9]	Zhao Hongwei , Liu Zhanwen , Zhang Xuezhen , Guo Xiaohong , Gao Jiyuan , Zhang Zimin , Yuan Ping , Zhang Wen , Lei Hailiang , Cao Yun , Feng Yucheng , Li Jinyu , Wang Hui , Ma Baohua , Wang Yifang , Wei Baowen . A 14.5GHz New ECR Ion Source With High Charge State and High Magnetic Field. Chinese Physics C, 1999, 23(7): 717-722.
[10]	Huang Wenhui , Wang Guangwei , Lin Yuzheng , Zhou Feng . Effect of Narrow-Band Impedance on Longitudinal Static Distribution. Chinese Physics C, 1999, 23(7): 709-716.
[11]	Chen Yinbao , Huang Zhibin , FuShinian . Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac. Chinese Physics C, 1997, 21(7): 657-663.
[12]	Hao Sanru , Li Guanghua , Long Junyan . q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States. Chinese Physics C, 1994, 18(10): 919-927.
[13]	Feng Renfa , Wu Xizhen , Zhuo Yizhong . On Theoretical Analysis of Kramers' Stationary Solution in the Diffusion Model of Fission. Chinese Physics C, 1994, 18(4): 361-365.
[14]	YU Qing-Chang . ELECTRON CLOUDS IN AXIAL SYMMETRIC SPACE-CHARGE LENSES. Chinese Physics C, 1989, 13(4): 298-301.
[15]	WEI Kai-Yu , LIN Zhen-Hua . THE DESIGN AND STUDY OF SPACE CHARGE EFFECT FOR THE BPL 750keV BEAM TRANSPORT SYSTEM. Chinese Physics C, 1984, 8(5): 588-595.
[16]	WEI KAI-YU . THE LONGITUDINAL TRANSPORT CHARACTERISTICS OF BEAM BUNCH. Chinese Physics C, 1982, 6(5): 570-579.
[17]	FANG SHOU-XIAN . COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE. Chinese Physics C, 1981, 5(2): 169-175.
[18]	Yu Qing-chang . THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS. Chinese Physics C, 1980, 4(5): 579-587.
[19]	WANG KE-LIN , HSIEN TING-CHANG , CHENG HSI-THE . ON THE MAGNETIC MONOPOLE AND DIPOLE SOLUTION OF THE SU(N) GAUGE FIELD THEORY IN A CURVED SPACE. Chinese Physics C, 1978, 2(3): 275-279.
[20]	DAI XIAN-XI . ON THE ENERGY LEVELS AND THE STATIONARY STATES OF THE EXOTIC ATOMS CONTAINING MONOPOLES. Chinese Physics C, 1978, 2(4): 305-310.

Access

Get Citation

LIU Yong. Space Charge and Longitudinal Stationarity in Bunched Beams[J]. Chinese Physics C, 2003, 27(12): 1128-1132.

LIU Yong. Space Charge and Longitudinal Stationarity in Bunched Beams[J]. Chinese Physics C, 2003, 27(12): 1128-1132. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-01-23
Revised: 1900-01-01

Article Metric

Article Views(2880)
PDF Downloads(680)
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

Space Charge and Longitudinal Stationarity in Bunched Beams

LIU Yong ^,

Corresponding author: LIU Yong,

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

Received Date: 2003-01-23
Accepted Date: 1900-01-01
Available Online: 2003-12-05

Abstract: Impedance modelling in an accelerator is reviewed in this paper,cutoff effects is discussed both from electrodynamics and beam dynamics points of view. From Vlasov-Maxwell equation,the general solution is derived for stationary distribution with space charge and arbitrary external fields and arbitrary distribution models,which can be applied in stability analysis and simulation. The stationary distributions of two example models are solved under high current paramet-ers of heavy-ion ring-accelerators. Longitudinal“dispersion”functions are also calculated from the solved stationary distributions,which are very important for Landau damping and stability in bunched beam.