2026-04-27T20:11:52Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/813642026-03-26T12:01:38Zcom_10324_1148com_10324_931com_10324_894col_10324_1270

On the stability of the RK-FDTD method for graphene modeling Pereda, José A Grande Sáez, Ana María Producción Científica The Runge–Kutta finite-difference time-domain (RK FDTD) method is an extension of the conventional finite-difference time-domain (FDTD) technique to include graphene sheets. According to this method, the relationship between the current density and the electric field for graphene is discretizedby applying an explicit second-order Runge–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 communication revisits the stability analysis of the RK-FDTD method. To this end, the von Neumann method is combined with the Routh–Hurwitz (RH) criterion. As a result, closed-form stability conditions are obtained. It is shown that in addition to the CFL stability limit, the RK-FDTD method must also satisfy new conditions involving graphene parameters. Unfortunately, the RK-FDTD method becomes unstable for commonly used values of these parameters. The theoretical results are confirmed with numerical examples. 2026-01-12T14:20:13Z 2026-01-12T14:20:13Z 2025 info:eu-repo/semantics/article IEEE Transactions on Antennas and Propagation, 2025, vol. 73, n.10, p. 8238-8241. 0018-926X https://uvadoc.uva.es/handle/10324/81364 10.1109/TAP.2025.3581386 8238 10 8241 IEEE Transactions on Antennas and Propagation 73 1558-2221 spa https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11051131 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional Institute of Electrical and Electronics Engineers (IEEE) SI