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2024年10月30日

Space Charge and Longitudinal Stationarity in Bunched Beams

  • 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.
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  • [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
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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
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Received: 2003-01-23
Revised: 1900-01-01
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Space Charge and Longitudinal Stationarity in Bunched Beams

    Corresponding author: LIU Yong,
  • Institute of Modern Physics,CAS,Lanzhou 730000,China2 Graduate School of Chinese Academy of Sciences,Beijing 100039,China

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.

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