Modeling and simulation of the R5912 photomultiplier for the LAGO project

We present the results of Hamamatsu R5912 photomultiplier tube modelling and simulating. The model can be adapted to any architecture by changing number electrodes, voltage distribution, intrinsic PMT parameters. Our approach solves use tapered dividers allows simulations under stimulation conditions. implementation is not limited SPICE-based software but also used with compiled interpreted programming languages. modeled pulse charge a vertical muon differs about 4% from data. resistive divider tested reproduces distribution along dynodes variance ~3.5%. compare linearity data operating LAGO's (Latin American Giant Observatory) water Cherenkov detectors installed at Bucaramanga-Colombia Bariloche-Argentina.