Dependence of angular uncertainties on the energy resolution of Compton cameras

One of the factors that affect the accuracy of the directional localization in Compton cameras is the energy resolution of the detectors. In a two-detector camera that consists of scatter and absorption detectors, analytic expressions that relate the angular uncertainty to the energy resolution of either the scatter or absorption detector have been suggested before. Here, the authors compare these models for the uncertainty in the scatter angle that are dependent on both the scatter and absorption detectors. In these two-detector models, they relax the fixed-energy condition for the incident gamma ray. Their analysis indicates that the energy resolution performance of the absorption detector must also be an important consideration in the design of Compton cameras.