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

Handle URI:
http://hdl.handle.net/10754/552556
Title:
A Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene
Authors:
Li, Ping; Jiang, Li; Bagci, Hakan ( 0000-0003-3867-5786 )
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Citation:
A Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene 2015:1 IEEE Transactions on Antennas and Propagation
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
24-Apr-2015
DOI:
10.1109/TAP.2015.2426198
Type:
Article
ISSN:
0018-926X; 1558-2221
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7094250
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Pingen
dc.contributor.authorJiang, Lien
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2015-05-10T14:34:09Zen
dc.date.available2015-05-10T14:34:09Zen
dc.date.issued2015-04-24en
dc.identifier.citationA Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Graphene 2015:1 IEEE Transactions on Antennas and Propagationen
dc.identifier.issn0018-926Xen
dc.identifier.issn1558-2221en
dc.identifier.doi10.1109/TAP.2015.2426198en
dc.identifier.urihttp://hdl.handle.net/10754/552556en
dc.description.abstractIn 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.en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7094250en
dc.rights(c) 2015 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.en
dc.subjectGrapheneen
dc.subjectLaplace transformen
dc.subjectdiscontinuous Galerkin time-domain (DGTD) methoden
dc.subjectfast-relaxation vector-fitting (FRVF)en
dc.subjectfinite integral technique (FIT)en
dc.subjectresistive boundary condition (RBC)en
dc.subjectsurface conductivityen
dc.titleA Resistive Boundary Condition Enhanced DGTD Scheme for the Transient Analysis of Grapheneen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electrical and Elec- tronic Engineering, The University of Hong Kong, Hong Kong, Chinaen
kaust.authorLi, Pingen
kaust.authorBagci, Hakanen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.