A novel finite element method for simulating surface plasmon polaritons on complex graphene sheets

Surface plasmon polaritons (SPPs) are generated on the graphene surface, and provide a window into the nano-optical and electrodynamic response of their host material and its dielectric environment. An accurate simulation of SPPs presents several unique challenges, since SPPs often occur at complex...

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Bibliographic Details
Published in:Journal of computational physics Vol. 542; p. 114372
Main Authors: Li, Jichun, Neunteufel, Michael, Zhu, Li
Format: Journal Article
Language:English
Published: Elsevier Inc 01.12.2025
Subjects:
Edge elements
Finite element time-domain methods
Graphene
Maxwell’s equations
Surface plasmon polaritons
Surface plasmon polaritons
65F10
Finite element time-domain methods
Graphene
78-08
Maxwell’s equations
78M10
Edge elements
Mathematics subject classification MSC
65N30
ISSN:0021-9991
Online Access:Get full text
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Summary:Surface plasmon polaritons (SPPs) are generated on the graphene surface, and provide a window into the nano-optical and electrodynamic response of their host material and its dielectric environment. An accurate simulation of SPPs presents several unique challenges, since SPPs often occur at complex interfaces between materials of different dielectric constants and appropriate boundary conditions at the graphene interfaces are crucial. Here we develop a simplified graphene model and propose a new finite element method accordingly. Stability for the continuous model is established, and extensive numerical results are presented to demonstrate that the new model can capture the SPPs very well for various complex graphene sheets.
ISSN:0021-9991
DOI:10.1016/j.jcp.2025.114372