Phys. Rev. ST Accel. Beams 6, 094201 (2003) [9 pages]Parametric collective resonances and space-charge limit in high-intensity rings
Resonance-driven collective instabilities of charged-particle beams were extensively studied in connection with high-current transport systems, leading to restrictions imposed on the zero-current phase advance. In this paper, we discuss application of such parametric instabilities to circular machines. This effect is directly related to the space-charge limit in rings and its understanding is of crucial importance. Its relation to the coherent resonance condition of an integer type is explained. Practical application of such resonant responses to both structural and imperfection driven harmonics is addressed. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.6.094201
DOI:
10.1103/PhysRevSTAB.6.094201
PACS:
29.27.Bd
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