Time Integration Methods for Particle Beam Simulations with the Finite Integration Theory

摘要

In this contribution two novel time integration methods designed for the solution of Maxwell's equations in the time domain using the Finite Integration Theory (FIT) are presented. This work was motivated by the need for simulating particle beams in electrically long structures, e.g., Linear Particle Accelerators. The extension of such a structure along the beam propagation axis is much larger than the transversal dimensions. The simulation of this structures is usually performed by the Staggered Leap-Frog (SLF) time integration within the framework of the FIT spatial discretization. Unfortunately, the numerical dispersion error of this algorithm is large along the beam propagation axis. Contrary to this, the proposed methods have a minimal error, vanishing for the Courant time step, along this direction. This property allows for a longer simulation time and for more accurate field solutions in accelerator structures.