Stable Second-Order Explicit Runge-Kutta Finite Difference Time Domain Formulations for Modeling Graphene Nano-Material Structures

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dc.contributor.authorRamadan, Omar Salameh
dc.date.accessioned2026-02-06T17:54:01Z
dc.date.issued2023
dc.departmentDoğu Akdeniz Üniversitesi
dc.description7th International Arab Conference on Mathematics and Computations, IACMC 2022 -- 2022-05-11 through 2022-05-13 -- Zarqa -- 295989
dc.description.abstractIn this paper, stable second-order Runge-Kutta finite difference time domain (RK-FDTD) formulations are introduced for modeling graphene nano-material structures. In this respect, a differencing scheme in which the electric field and the associated current density are collocated in time and space is used for incorporating graphene’s dispersion into the FDTD algorithm. The stability of the formulations is studied by using the root-locus method, and it is shown that the given formulations maintain the conventional Courant-Friedrichs-Lewy (CFL) time-step stability limit. The stability and the accuracy of the formulations are validated through a numerical test that investigates the tunneling phenomena of electromagnetic wave propagation through an infinite free-standing graphene layer. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
dc.identifier.doi10.1007/978-981-99-0447-1_13
dc.identifier.endpage158
dc.identifier.isbn9783031848681
dc.identifier.isbn9783031894978
dc.identifier.isbn9783031979491
dc.identifier.isbn9783032012784
dc.identifier.isbn9783031990083
dc.identifier.isbn9783031953804
dc.identifier.isbn9789819693498
dc.identifier.isbn9789819630974
dc.identifier.isbn9783031852879
dc.identifier.isbn9788132223009
dc.identifier.issn2194-1009
dc.identifier.scopus2-s2.0-85163408350
dc.identifier.scopusqualityQ4
dc.identifier.startpage149
dc.identifier.urihttps://doi.org/10.1007/978-981-99-0447-1_13
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/
dc.identifier.urihttps://hdl.handle.net/11129/7188
dc.identifier.volume418
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofSpringer Proceedings in Mathematics and Statistics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260204
dc.subjectAuxiliary differential equation (ADE)
dc.subjectExplicit finite difference time domain (FDTD)
dc.subjectGraphene nano-material
dc.subjectRoot-locus stability analysis
dc.subjectSecond-order Runge-Kutta (RK) scheme
dc.titleStable Second-Order Explicit Runge-Kutta Finite Difference Time Domain Formulations for Modeling Graphene Nano-Material Structures
dc.typeConference Object

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