Event reconstruction in high resolution Compton telescopes

The development of germanium Compton telescopes for nuclear <formula notation="TeX">$\gamma$</formula> -ray astrophysics ( <formula notation="TeX">$\sim 0.2-20$</formula> MeV) requires new event reconstruction techniques to accurately determine the initial direction and energy of photon events, as well as to consistently reject background events. This paper describes techniques for event reconstruction, accounting for realistic instrument/detector performance and uncertainties. An especially important technique is Compton Kinematic Discrimination, which allows proper interaction ordering and background rejection with high probabilities. The use of these techniques are crucial for the realistic evaluation of the performance and sensitivity of any germanium Compton telescope configuration.