Effect of local deadtime in imaging detectors

Local and global deadtime effects in imaging photon detectors are studied. A local deadtime is defined in the general sense that an event in one pixel generates deadtimes in itself and among neighbouring pixels of arbitrary proximity to that pixel. The case resulting from an arbitrary but stationary intensity distribution is considered. Both simple and probabilistic non-paralysable models are used to derive expressions for the reduced mean count rates. In certain limits and derived expressions are shown to reduce to previously published results. The validity of the expressions are confirmed by comparison with the results of computer simulations.