Description of current pulses induced by heavy ions in silicon detectors

The polarization of the electron-hole pairs induced by 80 MeV C12 ions in a silicon detector was considered and connected to the relative dielectric permittivity. The dissociation of pairs was supposed to take place with a constant probability in a time unit. The exact coordinate dependence of the modified electric field, inside and outside the ion range, was found as the solution of the one-dimensional Maxwell's equation for the electric field in this inhomogeneous medium. The improvement of the current signal simulation with that time-dependent treatment is encouraging, as compared to a prompt carrier collection in an undisturbed electric field.