A DOUBLE SCALE FAST ALGORITHM FOR THE TRANSIENT EVOLUTION OF A RESONANT TUNNELING DIODE

作者：Ben Abdallah, N.^*; Faraj, A.

来源：Multiscale Modeling and Simulation, 2017, 15(2): 696-722.

DOI：10.1137/15M1045247

• nonlinear Schrodinger equation
• numerical scheme
• resonant tunneling diode
• resonant states
• time dependent

A fast algorithm is proposed for the simulation of the transient evolution of a resonant tunneling diode by a multiscale approach. The problem is modeled by the time-dependent Schrodinger-Poisson system. By decomposing the wave function into a nonresonant part and a resonant part, the fast algorithm is designed by combining a standard finite difference method for the Schrodinger-Poisson equation with proper time-dependent and/or nonlinear transmission boundary conditions. In addition, with a suitable interpolation of the nonresonant part, an accurate and fast algorithm is presented for the computation of the resonant part via the projection method. With this two scale decomposition, the new numerical method can save computational time significantly.

• 出版日期2017
• 单位上海交通大学