Determination of the transmission coefficients for quantum structures using FDTD method

The purpose of this work is to develop a simple method to incorporate quantum effect in traditional finite-difference time-domain (FDTD) simulators. Which could make it possible to co-simulate system includes quantum structures and traditional components. In this paper, tunneling transmission coefficient is calculated by solving time-domain Schrodinger equation with a developed FDTD technique, called FDTD-S method. To validate the feasibility of the method, a simple resonant tunneling diode (RTD) structure model has been simulated using the proposed method. The good agreement between the numerical and analytical results proves its accuracy. The effeteness and accuracy of this approach makes it a potential method for analysis and design of hybrid systems includes quantum structures and traditional field components.