Propagation of scintillation light in continuous crystals

In this work, we report on the development of a mathematical model for the propagation of scintillation photons from a given point of a continuous scintillating crystal to a detection surface, through an interposed light guide. The model was used to calculate the radial distribution of the scintillation photons, in order to speed up the design of the optical system. The proposed method allows to generate a random distribution of coordinates of the scintillation photons similar to that obtained with a Monte Carlo simulation but the procedure is considerably faster. The radial light distribution of the proposed model is in good agreement with the GEANT4 Monte Carlo simulation. The computational time of the photon coordinate generation for our method is four order of magnitude smaller with respect to the GEANT4 Monte Carlo simulation.