A Hybrid Approach for Solving Coupled Maxwell and Schrödinger Equations Arising in the Simulation of Nano-Devices

A hybrid numerical technique for solving coupled Schrödinger and Maxwell´s equations for the simulation of nano-devices is presented. The finite-difference time-domain (FDTD) method is applied to Schrödinger´s equation, while the locally one-dimensional finite-difference time-domain (LOD-FDTD) method is applied to Maxwell´s equations for efficient simulation of the coupled equations. Results of the proposed approach are compared to those obtained via the conventional FDTD method.