Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 142, Issue -, Pages 268-282Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2023.05.003
Keywords
Maxwell's equations; Finite element time-domain methods; Edge elements; Graphene
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In this paper, a new variational form is developed to simulate the propagation of surface plasmon polaritons on graphene sheets. Graphene is treated as a thin sheet of current with an effective conductivity, and modeled as a lower-dimensional interface. A novel time-domain finite element method is proposed to solve this graphene model, which couples an ordinary differential equation on the interface with Maxwell's equations in the physical domain. Discrete stability and error estimate are proved for the proposed method. Numerical results are presented to demonstrate the effectiveness of this graphene model for simulating the surface plasmon polaritons propagating on graphene sheets.
In this paper, we develop a new variational form to simulate the propagation of surface plasmon polaritons on graphene sheets. Here the graphene is treated as a thin sheet of current with an effective conductivity, and modeled as a lower-dimensional interface. A novel time-domain finite element method is proposed for solving this graphene model, which coupled an ordinary differential equation on the interface with Maxwell's equations in the physical domain. Discrete stability and error estimate are proved for our proposed method. Numerical results are presented to demonstrate the effectiveness of this graphene model for simulating the surface plasmon polaritons propagating on graphene sheets.
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