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dc.contributor.authorLi, Ping
dc.contributor.authorJiang, L. J.
dc.contributor.authorBagci, Hakan
dc.date.accessioned2019-03-14T14:27:06Z
dc.date.available2019-03-14T14:27:06Z
dc.date.issued2019-02-28
dc.identifier.citationLi 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.
dc.identifier.doi10.23919/PIERS.2018.8597805
dc.identifier.urihttp://hdl.handle.net/10754/631670
dc.description.abstractIt 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.
dc.description.sponsorshipThis 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).
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://ieeexplore.ieee.org/document/8597805
dc.titleNumerical Modeling of Graphene Nano-Ribbon by DGTD Taking into Account the Spatial Dispersion Effects
dc.typeConference Paper
dc.contributor.departmentComputational Electromagnetics Laboratory
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journal2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama)
dc.conference.date2018-08-01 to 2018-08-04
dc.conference.name2018 Progress In Electromagnetics Research Symposium, PIERS-Toyama 2018
dc.conference.locationToyama, JPN
dc.contributor.institutionUniversity of Hong Kong, Hong Kong, , Hong Kong
kaust.personBagci, Hakan
dc.date.published-online2019-02-28
dc.date.published-print2018-08


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