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    A Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene

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    Type
    Article
    Authors
    Li, Ping
    Jiang, Li
    Bagci, Hakan cc
    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
    2015-04-24
    Online Publication Date
    2015-04-24
    Print Publication Date
    2015-07
    Permanent link to this record
    http://hdl.handle.net/10754/552556
    
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    Abstract
    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 Propagation
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Antennas and Propagation
    DOI
    10.1109/TAP.2015.2426198
    Additional Links
    http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7094250
    ae974a485f413a2113503eed53cd6c53
    10.1109/TAP.2015.2426198
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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