Show simple item record

dc.contributor.authorLi, Ping
dc.contributor.authorJiang, Li Jun
dc.contributor.authorBagci, Hakan
dc.date.accessioned2018-04-30T06:58:23Z
dc.date.available2018-04-30T06:58:23Z
dc.date.issued2018-04-13
dc.identifier.citationLi P, Jiang LJ, Bagci H (2018) Discontinuous Galerkin Time-Domain Modeling of Graphene Nano-Ribbon Incorporating the Spatial Dispersion Effects. IEEE Transactions on Antennas and Propagation: 1–1. Available: http://dx.doi.org/10.1109/TAP.2018.2826567.
dc.identifier.issn0018-926X
dc.identifier.issn1558-2221
dc.identifier.doi10.1109/TAP.2018.2826567
dc.identifier.urihttp://hdl.handle.net/10754/627689
dc.description.abstractIt is well known that graphene demonstrates spatial dispersion properties, i.e., its conductivity is nonlocal and a function of spectral wave number (momentum operator) q. In this paper, to 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) 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 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, are 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, 61622106, 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/8337768/
dc.rights(c) 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
dc.subjectAuxiliary differential equation (ADE) method
dc.subjectConductivity
dc.subjectdiscontinuous Galerkin time-domain (DGTD) method
dc.subjectDispersion
dc.subjectGraphene
dc.subjectgraphene nano-ribbon (GNR)
dc.subjectImpedance
dc.subjectMethod of moments
dc.subjectnonlocal conductivity
dc.subjectspatial dispersion
dc.subjectSurface impedance
dc.subjectsurface impedance boundary condition (SIBC)
dc.subjectTime-domain analysis
dc.titleDiscontinuous Galerkin Time-Domain Modeling of Graphene Nano-Ribbon Incorporating the Spatial Dispersion Effects
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
dc.identifier.journalIEEE Transactions on Antennas and Propagation
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong SAR., China.
kaust.personBagci, Hakan
refterms.dateFOA2018-06-14T07:11:09Z


Files in this item

Thumbnail
Name:
08337768.pdf
Size:
1.538Mb
Format:
PDF
Description:
Accepted Manuscript

This item appears in the following Collection(s)

Show simple item record