Simulation of delay reaction-drift-diffusion system applied to charging effects in electron-irradiated dielectrics

Abstract

The paper is devoted to reaction-convection-diffusion system modeling with time delay and its application for simulation of charging process in dielectrics irradiated by electron bunches. The model of dielectric charging is expressed by mixed initial-boundary value problem for locally instantaneous Poisson equation and time-dependent transport equation as reaction-convection-diffusion equation with time delay. An advanced finite difference scheme was proposed to numerically solve the delay parabolic partial differential equation. Monte-Carlo simulation of electron transport in electron irradiated target was also used to estimate a source function. The special program application was designed using Matlab. The computing experiments were performed to estimate the charge density distribution, potential distribution and electron beam-induced field intensity in electron irradiated ferroelectrics.