Head-Tail Modes for Strong Space Charge
Accelerator Physics
2009-11-09 v3
Abstract
The head-tail modes are described for the space charge tune shift significantly exceeding the synchrotron tune. A general equation for the modes is derived. The spatial shapes of the modes, their frequencies, and coherent growth rates are explored. The Landau damping rates are also found. The suppression of the transverse mode coupling instability by the space charge is explained.
Cite
@article{arxiv.0812.3914,
title = {Head-Tail Modes for Strong Space Charge},
author = {Alexey Burov},
journal= {arXiv preprint arXiv:0812.3914},
year = {2009}
}
Comments
11 pages, 7 figures, submitted to Phys. Rev. ST-Accel. Beams