RT info:eu-repo/semantics/article
T1 On the Stability of the RK-FDTD Method for Graphene Modeling
A1 Pereda, José A
A1 Grande Sáez, Ana María
K1 Finite-difference time-domain (FD-TD) method
K1 Second-orderRunge–Kutta(RK) scheme
K1 FDTD stability
K1 Graphene
AB The Runge–Kutta finite-difference time-domain (RKFDTD) method is an extension of the conventional finite-differencetime-domain (FDTD) technique to include graphene sheets. According tothis method, the relationship between the current density and the electricfield for graphene is discretizedby applying an explicit second-orderRunge–Kutta(RK) scheme. It has recently been concluded that the RK-FDTD method is subject to the same Courant–Friedrichs–Lewy (CFL)stability limit as the conventional FDTD method. This communicationrevisits the stability analysis of the RK-FDTD method. To this end, the vonNeumann method is combined with the Routh–Hurwitz (RH) criterion.As a result, closed-form stability conditions are obtained. It is shownthat in addition to the CFL stability limit, the RK-FDTD method mustalso satisfy new conditions involving graphene parameters. Unfortunately,the RK-FDTD method becomes unstable for commonly used values ofthese parameters. The theoretical results are confirmed with numericalexamples.
PB Institute of Electrical and Electronics Engineers (IEEE)
SN 0018-926X
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/81364
UL https://uvadoc.uva.es/handle/10324/81364
LA spa
NO IEEE Transactions on Antennas and Propagation, Octubre 2025, vol. 73, n.10, p. 8238-8241.
NO Producción Científica
DS UVaDOC
RD 12-feb-2026