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    Numerical Modeling of Graphene Nano-Ribbon by DGTD Taking into Account the Spatial Dispersion Effects

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    Type
    Conference Paper
    Authors
    Li, Ping
    Jiang, L. J.
    Bagci, Hakan cc
    KAUST Department
    Computational Electromagnetics Laboratory
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2019-02-28
    Online Publication Date
    2019-02-28
    Print Publication Date
    2018-08
    Permanent link to this record
    http://hdl.handle.net/10754/631670
    
    Metadata
    Show full item record
    Abstract
    It is well known that graphene demonstrates spatial dispersion properties [1]-[3], i.e., its conductivity is nonlocal and a function of spectral wave number (momentum operator) q. In this work, to fully account for effects of spatial dispersion on transmission of high speed signals along graphene nano-ribbon (GNR) interconnects, a discontinuous Galerkin time-domain (DGTD) algorithm is proposed. The atomically-thick GNR is modeled using a nonlocal transparent surface impedance boundary condition (SIBC) [4] incorporated into the DGTD scheme. Since the conductivity is a complicated function of q (and one cannot find an analytical Fourier transform pair between q and spatial differential operators), an exact time domain SIBC model cannot be derived. To overcome this problem, the conductivity is approximated by its Taylor series in spectral domain under low-q assumption. This approach permits expressing the time domain SIBC in the form of a second-order partial differential equation (PDE) in current density and electric field intensity. To permit easy incorporation of this PDE with the DGTD algorithm, three auxiliary variables, which degenerate the second-order (temporal and spatial) differential operators to first-order ones, are introduced. Regarding to the temporal dispersion effects, the auxiliary differential equation (ADE) method [4] is utilized to eliminates the expensive temporal convolutions. To demonstrate the applicability of the proposed scheme, numerical results, which involve characterization of spatial dispersion effects on the transfer impedance matrix of GNR interconnects, will be presented.
    Citation
    Li P, Jiang LJ, Bagci H (2018) Numerical Modeling of Graphene Nano-Ribbon by DGTD Taking into Account the Spatial Dispersion Effects. 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama). Available: http://dx.doi.org/10.23919/PIERS.2018.8597805.
    Sponsors
    This work is supported by the National Natural Science Foundation of China (NSFC) under Grant 61701423, and in part by NSFC 61674105, NSFC 61622106, NSFC 61701424, and in part by UGC of Hong Kong (AoE/P-04/08).
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama)
    Conference/Event name
    2018 Progress In Electromagnetics Research Symposium, PIERS-Toyama 2018
    DOI
    10.23919/PIERS.2018.8597805
    Additional Links
    https://ieeexplore.ieee.org/document/8597805
    ae974a485f413a2113503eed53cd6c53
    10.23919/PIERS.2018.8597805
    Scopus Count
    Collections
    Conference Papers; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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