Fast simulation of Time-of-Flight detectors at the LHC

The modelling of Cherenkov based detectors is traditionally done using Geant4 toolkit. In this work, we present another method on Python programming language and Numba high performance compiler to speed up the simulation. As an example take one Forward Proton Detectors at CERN LHC - ATLAS (AFP) Time-of-Flight, which used reduce background from multiple proton-proton collisions in soft hard diffiractive events. We describe technical details fast model photon generation transportation through optical part ToF detector. simulation revealed be about 200 times faster than corresponding simulation, provides similar results concerning length time distributions photons. study meant as first step a construction building kit allowing creation arbitrary shaped detectors.