Matrix Exponential FDTD Modeling of Magnetized Graphene Sheet

Author

Xiang-Hua Wang ; Wen-Yan Yin ; Zhizhang Chen

Author_Institution

Center for Opt. & Electromagn. Res., Zhejiang Univ., Hangzhou, China

Volume

12

fYear

2013

fDate

2013

Firstpage

1129

Lastpage

1132

Abstract

A novel finite-difference time-domain (FDTD) method is developed for modeling two-dimensional graphene sheet biased with a magnetostatic field. With the use of Dirac Delta function, the graphene sheet is modeled as a polarization current source characterized by an auxiliary equation (AE). Laplace transform and matrix exponential (ME) technique are applied to derive the time-domain mathematical formulations. Numerical experiments are carried out to verify the proposed method in comparison with the analytical results.

Keywords

Laplace transforms; finite difference time-domain analysis; graphene; magnetic fields; polarisation; Dirac Delta function; FDTD method; Laplace transform; auxiliary equation; finite-difference time-domain method; magnetized graphene sheet; magnetostatic field; matrix exponential FDTD modeling; matrix exponential technique; polarization current source; time-domain mathematical formulations; two-dimensional graphene sheet modeling; Finite difference methods; Graphene; Magnetostatic waves; Magnetostatics; Mathematical model; Numerical models; Time-domain analysis; Auxiliary equation (AE); Laplace transform; finite-difference time-domain (FDTD) method; graphene; matrix exponential (ME) method;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2013.2281053

Filename

6589984