Space Charge and Longitudinal Stationarity in Bunched Beams

LIU Yong

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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

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. 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

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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

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

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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.