Study on Longitudinal Coupled Bunch Instability with Unequal Spaced Distribution

WANG LanFa; ZHANG Chuang; WANG ShuHong; GUO ZhiYuan

Chinese Physics C> 2000, Vol. 24> Issue(8) : 761-766

Study on Longitudinal Coupled Bunch Instability with Unequal Spaced Distribution

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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Abstract：
The beam dynamics of longitudinal coupled bunch instability with unequal spaced bunches is studied by means of Vlasov equation method in this paper. Our formula will be the same as Samson’s when bunches equally spaced and populated, and for the unequal spaced bunches, our calculation agrees well with experimental results of BEPC.

References

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. Laclare J L .Bunch Beam Instabilities,Pro .Int.Conf.High Energy Accelerators,Geneva ,1980 ,52 6— 5392. Laclare J L .Bunch Beam Coherent Instabilities,CERN 87 0 3 ,1987,1:2 64— 32 6 3. Chao Alexander Wu.Physics of Collective Beam Instabilities in High Energy Accelerators.Wiley Interscience Publication ,John Wiley Sons,Inc .,19924. WANG LanFa .BEPC Multibunch Collision and Coupled Bunch Instabilities.PH .D .thesis(in Chinese) .IHEP ,1997(王兰法 .BEPC多束团对撞与耦合束不稳定性 .博士论文 .中国科学院高能物理研究所 ,1997) 5. Zisman M S ,Chattopadhyay S ,Bisognano J. ZAPCode.Lawrence Berkeley Laboratory,1989 6. WANG LanFa ,ZHANG Chuang ,WANG ShuHong et al.HEP NP (in Chinese) ,1998,2 2 ( 12 ) :1174(王兰法 ,张闯 ,王书鸿等 .高能物理与核物理 ,1998,2 2 ( 12 ) :1174 )

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WANG LanFa, ZHANG Chuang, WANG ShuHong and GUO ZhiYuan. Study on Longitudinal Coupled Bunch Instability with Unequal Spaced Distribution[J]. Chinese Physics C, 2000, 24(8): 761-766.

WANG LanFa, ZHANG Chuang, WANG ShuHong and GUO ZhiYuan. Study on Longitudinal Coupled Bunch Instability with Unequal Spaced Distribution[J]. Chinese Physics C, 2000, 24(8): 761-766. shu

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Received: 1999-07-07
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

Study on Longitudinal Coupled Bunch Instability with Unequal Spaced Distribution

Corresponding author: WANG LanFa,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 1999-07-07
Accepted Date: 1900-01-01
Available Online: 2000-08-05

Abstract: The beam dynamics of longitudinal coupled bunch instability with unequal spaced bunches is studied by means of Vlasov equation method in this paper. Our formula will be the same as Samson’s when bunches equally spaced and populated, and for the unequal spaced bunches, our calculation agrees well with experimental results of BEPC.