Electron-Induced Effects at Diagnostics and Modification of Ferroelectrics: Mathematical Modelling, Simulation and Optimal Control
The paper is devoted to developing the theoretical basis of the mathematical modelling and computer simulation intended to analyze and control the electron beam-stimulated effects in ferroelectric materials. In order to simulate the electron beam-induced charging dynamics of ferroelectrics the modification of drift-reaction-diffusion model was proposed. The calculation was based on the numerical solution of the continuity equation and Poisson equation. The parameters of the electron irradiation doze and source function were estimated by 3D Monte-Carlo simulation of electron trajectories in the solid specimen. The computation was associated with typical ferroelectrics (LiNbO3, LiTaO3) irradiated by intermediate-energy electron bunches specified for SEM. The contribution roles of drift component as well as diffusion component during dynamic charging process were discussed. The simulation results enable us to predict charge distribution, dynamic of the potential distribution, electric field and electron beam-induced component of polarization at the given experimental parameters. These findings can be used to control polarization switching in ferroelectrics electron beam-irradiated by the SEM techniques.
Dr. Denis Solovev
A. Maslovskaya and A. Pavelchuk, "Electron-Induced Effects at Diagnostics and Modification of Ferroelectrics: Mathematical Modelling, Simulation and Optimal Control", Materials Science Forum, Vol. 945, pp. 944-950, 2019