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

Author

Ahmed, Iftikhar ; Khoo, Eng Huat ; Li, Erping ; Mittra, Raj

Author_Institution

Comput. Electron. & Photonics Dept., Inst. of High Performance Comput., Singapore, Singapore

Volume

9

fYear

2010

fDate

7/2/1905 12:00:00 AM

Firstpage

914

Lastpage

917

Abstract

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.

Keywords

Maxwell equations; Schrodinger equation; finite difference time-domain analysis; nanotechnology; FDTD method; Maxwell equation; Schrodinger equation; locally one-dimensional finite-difference time-domain method; nanodevice simulation; Current density; Electrodes; Equations; Finite difference methods; Mathematical model; Schrodinger equation; Time domain analysis; Courant–Friedrich–Levy (CFL) limit; finite-difference time domain (FDTD); hybrid; locally one-dimensional FDTD (LOD-FDTD);

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2010.2076411

Filename

5579991