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Chinese Physics C> 1999, Vol. 23> Issue(8) : 828-834 

Beam Loading Effects for A Tow-Beam Ring

  •  Department of Engineering Physics, Tsinghua University, Beijing 100084

  • An analytic treatment of multi-bunch potential well distortion for a twobeam storage ring is presented. The longitUdinal wake effects are separated into: the mode loss, the synchrotron tUne shift (both due to potential well distortion) and the coherent multi-bunch coupling. Here, only the first two effects are studied. Resulting simple analytic formulas describe the mode loss and the synchrotron tune shift experienced by a given bunch within the two-beam, as a function of the high order mode's parameters. One can get immediately a simple quantitative answer in term of the mode loss and the synchrotron tUne shift experienced by each bunch form these formulas, so we can know how to modify the existing configuration of parasitic cavity resonance (via frequency tuning) so that the resulting potenhal well distortion effects are minimized. When the RF cavities are symmetrically distributed about the interaction points, the two beams will have same beam loading effects, so we can compensate the phase shift of the tWo beam using the same method as in one beam case.
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  • References

    [1] Chao Alexander Wu.Physics of Collective Beam Instabilites in High Energy Accelerators.Wiley–Interscience Publication , John Wiley Sons,Inc. 19922 Laclare J L. Bunch Beam Coherent Instabilities, CERN 87–03, 1987,1:264-326 3 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)4 Kubo K, Higo T, Sakanaka. Compensation of Bunch Position Shift Using Sub–RF Cavity in a Damping Ring. Proceedings of the 1993 Particle Accelerator Conference. 1993. 3503

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Wang Lanfa, Lin Yuzheng and Tong Dechun. Beam Loading Effects for A Tow-Beam Ring[J]. Chinese Physics C, 1999, 23(8): 828-834.
Wang Lanfa, Lin Yuzheng and Tong Dechun. Beam Loading Effects for A Tow-Beam Ring[J]. Chinese Physics C, 1999, 23(8): 828-834. shu
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Received: 1998-06-11
Revised: 1900-01-01
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Beam Loading Effects for A Tow-Beam Ring

    Corresponding author: Wang Lanfa,
  • Department of Engineering Physics, Tsinghua University, Beijing 100084
  • Received Date: 1998-06-11
  • Accepted Date: 1900-01-01
  • Available Online: 1999-08-05

Abstract: An analytic treatment of multi-bunch potential well distortion for a twobeam storage ring is presented. The longitUdinal wake effects are separated into: the mode loss, the synchrotron tUne shift (both due to potential well distortion) and the coherent multi-bunch coupling. Here, only the first two effects are studied. Resulting simple analytic formulas describe the mode loss and the synchrotron tune shift experienced by a given bunch within the two-beam, as a function of the high order mode's parameters. One can get immediately a simple quantitative answer in term of the mode loss and the synchrotron tUne shift experienced by each bunch form these formulas, so we can know how to modify the existing configuration of parasitic cavity resonance (via frequency tuning) so that the resulting potenhal well distortion effects are minimized. When the RF cavities are symmetrically distributed about the interaction points, the two beams will have same beam loading effects, so we can compensate the phase shift of the tWo beam using the same method as in one beam case.

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