• 文献标题:   Stability Analysis of the SBC Modeling of Graphene in the FDTD Method
  • 文献类型:   Article
  • 作  者:   MOHARRAMI F, ATLASBAF Z
  • 作者关键词:   finite difference method, graphene, stability criteria, numerical stability, timedomain analysi, two dimensional display, courant #8211, friedrich #8211, levy cfl stability condition, finitedifference timedomain fdtd method, gershgorin #8217, s circle theorem, surface boundary condition sbc
  • 出版物名称:   IEEE TRANSACTIONS ON ANTENNAS PROPAGATION
  • ISSN:   0018-926X EI 1558-2221
  • 通讯作者地址:  
  • 被引频次:   2
  • DOI:   10.1109/TAP.2020.3019575
  • 出版年:   2021

▎ 摘  要

In this communication, we study the stability of the surface boundary condition (SBC) modeling of graphene in the finite-difference time-domain (FDTD) method. We analyze the eigenvalue problem for the FDTD equations using Gershgorin's circle theorem. The theorem proves that the importing of graphene as an SBC does not lead to a more restrictive bound than the Courant-Friedrich-Levy (CFL) condition in the stability limit of the FDTD method.