Mathematical model of radiation-induced conductivity in sapphire with electron-phonon interaction

The mathematical model of radiative conductivity in crystalline sapphire under the action of X-rays is constructed. The model consists of kinetic equations for photons, fast electrons and conduction electrons and self-consistent Maxwell equations. The frequencies of conduction electrons scattering by acoustic and optical phonons are calculated. The model was verified by calculating the leakage current in the sapphire detector and comparing the current with experimental data. The analysis of the calculated physical quantities and the approximations adopted in the course of the calculation is carried out.