A Provably Stable and Simple FDTD Formulation for Electromagnetic Modeling of Graphene Sheets

作者：Afshar Fatemeh^*; Akbarzadeh Sharbaf Ali; Giannacopoulos Dennis D

来源：IEEE Transactions on Magnetics, 2016, 52(3): 7203504.

DOI：10.1109/TMAG.2015.2487835

• Boundary conditions
• finite-difference methods
• finite-element analysis
• graphene

A new finite-difference time-domain (FDTD) formulation for modeling graphene is proposed, in which the graphene is modeled as a resistive sheet with a frequency-dependent conductivity. The formulation is first developed in the context of the vector wave finite-element time-domain and then reduced to the FDTD based on the equivalence between these two techniques. The obtained formulation is easy to implement and does not alter the original FDTD update equations. It can be applied to an existing FDTD code by simply adding a correction term to appropriate variables. One of the main contributions of this paper is analyzing the stability of the proposed formulation, which has not been done previously.

• 出版日期2016-3
• 单位McGill