Two-scale semi-lagrangian simulation of a charged particle beam in a periodic focusing channel
For computational physicists simulating beam dynamics, this method improves efficiency by simplifying Poisson's equation solution via a new phase-space mesh.
The paper develops a two-scale semi-Lagrangian simulation method for charged particle beams in periodic focusing channels, validated through long-time simulations showing efficiency.
This paper is devoted to numerical simulation of a charged particle beam submitted to a strong oscillating electric field. For that, we consider a two-scale numerical approach as follows: we first recall the two-scale model which is obtained by using two-scale convergence techniques; then, we numerically solve this limit model by using a backward semi-lagrangian method and we propose a new mesh of the phase space which allows us to simplify the solution of the Poisson's equation. Finally, we present some numerical results which have been obtained by the new method, and we validate its efficiency through long time simulations.