Abstract
The effect of electromagnetic interaction between electron bunches and the vacuum chamber of a storage ring on the longitudinal motion of bunches is studied. Specifically, the potential-well distortion effect and the so-called coherent instabilities of coupled bunches are considered. An approximate analytical solution for the frequencies of incoherent oscillations of bunches distributed arbitrarily within the ring is obtained for a distorted potential well. A new approach to determining frequencies of coherent oscillations and an approximate analytical relation for estimating the stability of a system of bunches as a function of their distribution in the accelerator orbit are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Lebedev, “Coherent synchrotron oscillations in the presence of a space charge,” At. Energy 25, 851 (1968).
A. N. Lebedev, “On the bunch lengthening effect in storage rings,” LNF-69/52 (Frascati, 1969).
M. M. Karliner, “Coherent instabilities in electron storage rings caused by electromagnetic interaction with surrounding structure. 1. Coherent beam motions in storage,” BINP Preprint No. 74-105 (Budker Inst. Nucl. Phys., Novosibirsk, 1974).
M. M. Karliner, “Coherent instabilities in electron storage rings caused by electromagnetic interaction with surrounding structure. 2. Instabilites of coherent longitudinal (phase) oscillations,” BINP Preprint No. 74-106 (Budker Inst. Nucl. Phys., Novosibirsk, 1974).
F. Sacherer, “Methods for computing bunched-beam instabilities,” CERN/SI-BR/72-5 (Geneva, 1972).
F. Sacherer, “Bunch lengthening and microwave instability. Part 2,” CERN/PS/BR 77-6 (Geneva, 1977).
B. Zotter, “Longitudinal stability of bunched beams. Part 3. Mode coupling and the microwave instability,” CERN SPS/81-20 (DI) (Geneva, 1981).
B. Zotter, “Potential-well bunch lengthening,” CERN SPS/81-14 (DI) (Geneva, 1981).
J. L. Laclare, “Bunched beam coherent instabilities,” CERN 87-03 (Genewa, 1987), Vol.1.
J. M. Wang and C. Pellegrini, “On the condition for a single bunch high frequency fast blow-up,” in Proceedings of the 11th International Conference on High Energy Accelerators, Genewa, 1980, p.554.
J. M. Wang, “Microwave instability as a coherent light source,” Phys. Rev. E 58, 984 (1998).
A. Wu Chao, Physics of Collective Beam Instabilities in High-Energy Accelerators (Wiley, New York, 1993).
C. Pellegrini, “Longitudinal instabilities in circular accelerator and storage rings,” IEEE Trans. Nucl. Sci. 28, 2413–2419 (1981).
H. G. Hereward, “Limitation on beam quality and intensity,” in Proceedings of the 8th International Conference on High Energy Accelerators, 1971, pp. 548–553.
A. Mosnier, “Cures of coupled bunch instabilities,” in Proceedings of the 1999 Particle Accelerator Conference, New York, 1999, p.628.
H. Bruck, Accélérateurs circulaires de particules. Introduction à la théorie (Pres. Univ. France, Paris, 1966) [in French].
J. D. Lawson, The Physics of Charged-Particle Beams, Vol. 75 of The International Series of Monographs on Physics (Oxford Univ. Press, Oxford, 1988).
M. Sands, “The physics of electron storage rings. An introduction,” SLAC-121 Note (SLAC, Santa Cruz, 1970).
B. Zotter, “The effective coupling impedance for instabilities of gaussian bunches,” CERN/ISR-TH/80-03 (Geneva, 1980).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Korchuganov, A.S. Smygacheva, E.A. Fomin, 2018, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2018.
Rights and permissions
About this article
Cite this article
Korchuganov, V.N., Smygacheva, A.S. & Fomin, E.A. The Potential-Well Distortion Effect and Coherent Instabilities of Electron Bunches in Storage Rings. Phys. Part. Nuclei Lett. 15, 323–330 (2018). https://doi.org/10.1134/S1547477118030111
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477118030111