Tracking of Electron Beams with Numerically Determined Space Charge Forces

A tracking algorithm for the description of electron beams using grid-based space charge fields is compared to a method based on point-to-point calculations. The charged particles’ equations of motion are solved with a fifth-order embedded Runge-Kutta method using the concept of macroparticles. The space charge forces are determined in the bunch’s restframe with a multigrid-method [1].