Abstract
As a part of our research activities aimed at a detailed understanding of space charge effects in ring cyclotrons and in the corresponding injection beam lines at the Paul Scherrer Institut, we are currently developing a three dimensional space charge simulation code. Using the collision less Vlasov Maxwell equation as base model, we show how to solve this set of highly nonlinear equations in the light of accelerator simulations. We assume that we deal with low energy but high intensity beams only. Basically we use a split operator technique H = H 1 + H 2 enriched with the ability to impose complicated boundary conditions.
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