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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| Vydáno v: | Journal of computational physics Ročník 542; s. 114372 |
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| Hlavní autoři: | , , |
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| Jazyk: | angličtina |
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Elsevier Inc
01.12.2025
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| ISSN: | 0021-9991 |
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 114372 |
| Author | Li, Jichun Zhu, Li Neunteufel, Michael |
| Author_xml | – sequence: 1 givenname: Jichun surname: Li fullname: Li, Jichun email: jichun.li@unlv.edu organization: Department of Mathematical Sciences, University of Nevada, Las Vegas, NV, 89154, USA – sequence: 2 givenname: Michael surname: Neunteufel fullname: Neunteufel, Michael email: mneunteu@pdx.edu organization: The Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR, 97021, USA – sequence: 3 givenname: Li orcidid: 0000-0003-2947-0025 surname: Zhu fullname: Zhu, Li email: lizhu@d.umn.edu organization: The Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR, 97021, USA |
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| Keywords | Surface plasmon polaritons 65F10 Finite element time-domain methods Graphene 78-08 Maxwell’s equations 78M10 Edge elements Mathematics subject classification MSC 65N30 |
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| Title | A novel finite element method for simulating surface plasmon polaritons on complex graphene sheets |
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