A Dispersion Free Methodology for Modeling Intense Charged Particle Beams

We show a novel dispersion free 3-D method for modeling the space-charge fields of intense charged particle beams in a circular conducting pipe. The dispersion free aspect of this method is obtained from the use of time-dependent Green's functions for computing the fields. This leads to highly accurate representations of time-dependent space-charge fields in intense beams, compared to those found when using traditional FDTD methods where typical numerical grid dispersion errors can be important. We show how this method compares to the FDTD method, and how it can be parallelized for high-performance computing.