Optimization Calculations for the KATRIN Magnet System

The Karlsruhe Tritium Neutrino experiment aims to measure the neutrino mass to extreme high precision by measuring the energy spectrum of the electrons of the tritium decay. A highly specialized magnet system is needed to transport the electrons from tritium beta decay along a more than 70 meter long path with differential and cryogenic pumping sections, pre- and main spectrometer to the detector plane. Each magnet group does not only provide a guiding field for the electrons but also serves additional purposes. The intermediate sections between magnet groups as well as the magnet design itself needs to be analyzed very carefully in order to work properly in the whole KATRIN experiment. This paper describes optimization calculations performed to achieve this goal