Handling Overlapping Fields Within the V-Code Beam Dynamics Simulation Tool

The V-Code simulation tool implemented at TEMF is a fast tracking code applying the VLASOV equation. Instead of directly solving the partial differential equation, the considered particle distribution function is represented by a discrete set of characteristic moments. To describe the time evolution of these moments ordinary differential equations can be deduced, wherein the external forces caused by the electric and magnetic fields within the accelerator components are considered. The entire beam line is represented in the code as a successive alignment of separate independent beam line elements. The proximity of some beam forming elements may lead to overlapping fringe fields between consecutive elements. In order to simulate even such beam lines with the V-Code its database of disjunctive beam line elements has to be enhanced to deal also with superposed fields. In this paper a summary of issues regarding the implementation complemented with simulation results is provided.