Longitudinal Coupled Bunch Instability in Fractionally Filled Storage Rings

ZHAO Zhen-Tang; JIANG Bo-Cheng

Chinese Physics C> 2004, Vol. 28> Issue(11) : 1209-1213

Longitudinal Coupled Bunch Instability in Fractionally Filled Storage Rings

ZHAO Zhen-Tang ^, ,
JIANG Bo-Cheng

Shanghai Institute of Applied Physics,CAS,Shanghai 201800,China

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Abstract：
Longitudinal coupled bunch instability in fractionally filled storage rings is studied in this paper with analytic method to derive the expression for the growth rate of the instability as well as the synchrotron oscillation frequency shift. An interesting phenomenon has been found that imaginary part of impedance makes contribution to the growth rate of coupled bunch instability. This phenomenon is contrary to that in symmetrical bunch filling cases.

References

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. Kohaupt R D. DESY 85, 139: 1-52. THOMPSON K A, RUTH R D. PAC1989, 2: 792-7943. THOMPSON K A, RUTH R D. Physical Review, 1991, D43: 3049-30614. Bogacz S A. Fermilab-FN-611, 19935. DAI Jian-Ping. Nuclear Techniques, 2002, 25(3): 167-172(in Chinese)(戴建坪. 核技术, 2002, 25(3): 167—172)6. ZHAO Zhen-Tang. HEP NP, 1999, 23(9): 914-921(in Chinese)(赵振堂. 高能物理与核物理, 1999, 23(9): 914—921)7. Laclare J L. Bunch Beam Coherent Instability, CAS 1987-03, 1: 270-272, 281-2838. Chao A W. Physics of Collective Beam Instability in High Energy Acceler-ators. Canada: Wiley-Interscience Publication, 1993. 162-69

[1] Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
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ZHAO Zhen-Tang and JIANG Bo-Cheng. Longitudinal Coupled Bunch Instability in Fractionally Filled Storage Rings[J]. Chinese Physics C, 2004, 28(11): 1209-1213.

ZHAO Zhen-Tang and JIANG Bo-Cheng. Longitudinal Coupled Bunch Instability in Fractionally Filled Storage Rings[J]. Chinese Physics C, 2004, 28(11): 1209-1213. shu

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Received: 2004-03-27
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

Longitudinal Coupled Bunch Instability in Fractionally Filled Storage Rings

ZHAO Zhen-Tang ^,
JIANG Bo-Cheng

Corresponding author: ZHAO Zhen-Tang,

Shanghai Institute of Applied Physics,CAS,Shanghai 201800,China

Received Date: 2004-03-27
Accepted Date: 1900-01-01
Available Online: 2004-11-05

Abstract: Longitudinal coupled bunch instability in fractionally filled storage rings is studied in this paper with analytic method to derive the expression for the growth rate of the instability as well as the synchrotron oscillation frequency shift. An interesting phenomenon has been found that imaginary part of impedance makes contribution to the growth rate of coupled bunch instability. This phenomenon is contrary to that in symmetrical bunch filling cases.