A Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene
Type
ArticleAuthors
Li, PingJiang, Li
Bagci, Hakan

KAUST Department
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)Computational Electromagnetics Laboratory
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2015-04-24Online Publication Date
2015-04-24Print Publication Date
2015-07Permanent link to this record
http://hdl.handle.net/10754/552556
Metadata
Show full item recordAbstract
In this paper, the electromagnetic (EM) features of graphene are characterized by a discontinuous Galerkin timedomain (DGTD) algorithm with a resistive boundary condition (RBC). The atomically thick graphene is equivalently modeled using a RBC by regarding the graphene as an infinitesimally thin conductive sheet. To incorporate RBC into the DGTD analysis, the surface conductivity of the graphene composed of contributions from both intraband and interband terms is firstly approximated by rational basis functions using the fastrelaxation vector-fitting (FRVF) method in the Laplace-domain. Next, through the inverse Laplace transform, the corresponding time-domain matrix equations in integral can be obtained. Finally, these matrix equations are solved by time-domain finite integral technique (FIT). For elements not touching the graphene sheet, however, the well-known Runge-Kutta (RK) method is employed to solve the two first-order time-derivative Maxwell’s equations. The application of the surface boundary condition significantly alleviates the memory consuming and the limitation of time step size required by Courant-Friedrichs-Lewy (CFL) condition. To validate the proposed algorithm, various numerical examples are presented and compared with available references.Citation
A Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene 2015:1 IEEE Transactions on Antennas and Propagationae974a485f413a2113503eed53cd6c53
10.1109/TAP.2015.2426198