Phys. Rev. ST Accel. Beams 10, 104202 (2007) [10 pages]Stability of coherent synchrotron oscillations with space charge
The stability of longitudinal dipole oscillations in Gaussian bunches is studied for different rf wave forms and with nonlinear space charge. In a previous study [ O. Boine-Frankenheim and T. Shukla Phys. Rev. ST Accel. Beams 8 034201 (2005)], the space charge induced loss of Landau damping and the bunch response to rf phase modulations was analyzed for elliptic distributions. The present study investigates Landau damping of dipole modes with nonlinear space charge in Gaussian bunches. The stability boundary resulting from a dispersion relation is compared with stability scans performed within a self-consistent simulation scheme. The results are compared with numerically obtained beam transfer functions. 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.10.104202
DOI:
10.1103/PhysRevSTAB.10.104202
PACS:
29.27.Bd, 29.20.−c, 52.59.Sa, 52.65.Rr
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