No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Parametric sum envelope instability of periodically focused intense beams
I. Hofmann, L. J. Laslett, L. Smith, and I. Haber, Part. Accel. 13, 145 (1983).
J. Struckmeier and M. Reiser, Part. Accel. 14, 227 (1984).
M. Tiefenback, “ Space charge limits on the transport of ion beams in a long alternating gradient system,” Ph.D. thesis, Lawrence Berkeley National Laboratory Report LBL-22465, 1986.
K. Fukushima, K. Itoa, H. Okamoto, S. Yamaguchi, K. Moriya, H. Higaki, T. Okano, and S. M. Lund, Nucl. Instrum. Methods Phys. Res., A 733, 18 (2014).
H. Okamoto, K. Ito, K. Fukushima, and T. Okano, in Proceedings of the HB2014, East-Lansing, MI, USA (2014), p. TUO2LR03.
L. Groening, W. Barth, W. Bayer, G. Clemente, L. Dahl, P. Forck, P. Gerhard, I. Hofmann, M. S. Kaiser, M. Maier, S. Mickat, and T. Milosic, Phys. Rev. Lett. 102, 234801 (2009).
T. P. Wangler, RF Linear Accelerators, 2nd ed. ( Wiley-VCH, 2008).
D. Chernin, Part. Accel. 24, 29 (1988).
H. D. Zhang, B. L. Beaudoin, and R. A. Kishek, in Proceedings of PAC2013, Pasadena, CA USA (2013), Paper No. FROAA6.
Article metrics loading...
The envelope instability is a second order parametric resonance with the periodic focusing and known to appear in space charge dominated beams near 90° phase advance per focusing period. We show in 2d approximation that space charge may also induce parametric “sum envelope instabilities” leading to simultaneous growth of envelopes or skew angles as well as emittances. This can happen by two-plane envelope coupling or by exciting a skew (“odd”) mode in an otherwise fully uncoupled linear lattice. At resonance, the two individual phase advances are split more or less symmetrically away from 90°, and exponential growth occurs. Results from perturbation theory are compared with full envelope models, particle-in-cell simulations, and smooth approximation stopband calculations, all showing very good agreement for realistic space charge parameters.
Full text loading...
Most read this month