Abstract

The Twente Eindhoven microtron, a 25 MeV electron source for a 10 μm free electron laser has inhomogeneous magnetic fields to improve the focusing properties of the microtron. In order to design the shape of the magnets, the fringe field properties like the effective field boundary and the defocusing force in the vertical plane, have been determined. In this paper we compare these properties obtained by measurements, numerical calculation using the POISSON group of codes and by a theoretical treatment of the fringe field. We considered both a dipole configuration including a coil and a magnet configuration with a sudden change of the gap. For the analytical treatment of the fringe field we use t the geometry of the considered pole boundary to a simpler boundary where the Laplace equation can be solved easier. The magnetic field is calculated by the potential at the pole boundaries. The effect of the coil is simulated by choosing a linear potential change along the coil axis. Saturation effects are not included.

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