Simulation of the $\beta$ setup of the SSD group

The objective of this study was to first implement a simulation in GEANT4 of the setup used by the SSD group to conduct measurements of the response of silicon detectors to ionizing radiation. This simulation was then compared to theoretical results on energy deposition in silicon sensors of varying thickness by ionizing radiation, as well as measurements of the energy deposition distribution taken using the apparatus being simulated. Simulation was also used to calibrate the trigger, estimating that a peak trigger signal of 1V corresponds to an energy deposited of 0.744 MeV. It was found that for the most probable value (MPV) of the energy deposition distribution, simulation coincides with theory within 5%, but the full-width at half-maximum (FWHM) is underestimated by 15%. Measurements were conducted on a 280$\mu$m sensor and compared to simulation. The MPV was 10% lower in observation than simulation, and the FWHM was 10-15% higher.