Wake excited in plasma by an ultra-relativistic point-like bunch
Accelerator Physics
2016-11-03 v1 Plasma Physics
Abstract
A plasma flow behind a relativistic electron bunch propagating through a cold plasma is found assuming that the transverse and longitudinal dimensions of the bunch are small and the bunch can be treated as a point charge. In addition, the bunch charge is assumed small. A simplified system of equations for the plasma electrons is derived and it is shown that, through a simple rescaling of variables, the bunch charge can be eliminated from the equations. These equations have a unique solution, with an ion cavity formed behind the driver. The equations are solved numerically and the scaling of the cavity dimensions with the driver charge is obtained. A numerical solution for the case of a positively charged driver is also found.
Cite
@article{arxiv.1606.02336,
title = {Wake excited in plasma by an ultra-relativistic point-like bunch},
author = {G. Stupakov and B. Breizman and V. Khudik and G. Shvets},
journal= {arXiv preprint arXiv:1606.02336},
year = {2016}
}