Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces

Surface plasmon polaritons (SPPs) on the graphene metasurfaces (GSPs) are crucial to develop a series of novel functional devices that can merge the well-established plasmonics and novel nanomaterials. Dispersion theory on GSPs is an important aspect, which can provide a basic understanding of propa...

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Main Authors: Yong-Qiang Liu, Zhongru Ren, Hongcheng Yin, Jinhai Sun, Liangsheng Li
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/11/1804
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author Yong-Qiang Liu
Zhongru Ren
Hongcheng Yin
Jinhai Sun
Liangsheng Li
author_facet Yong-Qiang Liu
Zhongru Ren
Hongcheng Yin
Jinhai Sun
Liangsheng Li
author_sort Yong-Qiang Liu
collection DOAJ
description Surface plasmon polaritons (SPPs) on the graphene metasurfaces (GSPs) are crucial to develop a series of novel functional devices that can merge the well-established plasmonics and novel nanomaterials. Dispersion theory on GSPs is an important aspect, which can provide a basic understanding of propagating waves and further guidance for potential applications based on graphene metamaterials. In this paper, the dispersion theory and its modal characteristics of GSPs on double-layer graphene metasurfaces consisting of the same upper and lower graphene micro-ribbon arrays deposited on the dielectric medium are presented. In order to obtain its dispersion expressions of GSP mode on the structure, an analytical approach is provided by directly solving the Maxwell’s equations in each region and then applying periodical conductivity boundary onto the double interfaces. The obtained dispersion expressions show that GSPs split into two newly symmetric and antisymmetric modes compared to that on the single graphene metasurface. Further, the resultant dispersion relation and its propagating properties as a function of some important physical parameters, such as spacer, ribbon width, and substrate, are treated and investigated in the Terahertz band, signifying great potentials in constructing various novel graphene-based plasmonic devices, such as deeply sub-wavelength waveguides, lenses, sensors, emitters, etc.
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spelling doaj.art-aeb3e196e53d406fbf3817b2141675dc2023-11-23T14:32:33ZengMDPI AGNanomaterials2079-49912022-05-011211180410.3390/nano12111804Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene MetasurfacesYong-Qiang Liu0Zhongru Ren1Hongcheng Yin2Jinhai Sun3Liangsheng Li4Science and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, ChinaCollege of Information Engineering, Communication University of China, Beijing 100024, ChinaScience and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, ChinaScience and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, ChinaScience and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, ChinaSurface plasmon polaritons (SPPs) on the graphene metasurfaces (GSPs) are crucial to develop a series of novel functional devices that can merge the well-established plasmonics and novel nanomaterials. Dispersion theory on GSPs is an important aspect, which can provide a basic understanding of propagating waves and further guidance for potential applications based on graphene metamaterials. In this paper, the dispersion theory and its modal characteristics of GSPs on double-layer graphene metasurfaces consisting of the same upper and lower graphene micro-ribbon arrays deposited on the dielectric medium are presented. In order to obtain its dispersion expressions of GSP mode on the structure, an analytical approach is provided by directly solving the Maxwell’s equations in each region and then applying periodical conductivity boundary onto the double interfaces. The obtained dispersion expressions show that GSPs split into two newly symmetric and antisymmetric modes compared to that on the single graphene metasurface. Further, the resultant dispersion relation and its propagating properties as a function of some important physical parameters, such as spacer, ribbon width, and substrate, are treated and investigated in the Terahertz band, signifying great potentials in constructing various novel graphene-based plasmonic devices, such as deeply sub-wavelength waveguides, lenses, sensors, emitters, etc.https://www.mdpi.com/2079-4991/12/11/1804surface plasmon polaritonsgraphene metasurfacesdouble layerdispersion theorymodal characteristicTerahertz applications
spellingShingle Yong-Qiang Liu
Zhongru Ren
Hongcheng Yin
Jinhai Sun
Liangsheng Li
Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
Nanomaterials
surface plasmon polaritons
graphene metasurfaces
double layer
dispersion theory
modal characteristic
Terahertz applications
title Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
title_full Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
title_fullStr Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
title_full_unstemmed Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
title_short Dispersion Theory of Surface Plasmon Polaritons on Bilayer Graphene Metasurfaces
title_sort dispersion theory of surface plasmon polaritons on bilayer graphene metasurfaces
topic surface plasmon polaritons
graphene metasurfaces
double layer
dispersion theory
modal characteristic
Terahertz applications
url https://www.mdpi.com/2079-4991/12/11/1804
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AT zhongruren dispersiontheoryofsurfaceplasmonpolaritonsonbilayergraphenemetasurfaces
AT hongchengyin dispersiontheoryofsurfaceplasmonpolaritonsonbilayergraphenemetasurfaces
AT jinhaisun dispersiontheoryofsurfaceplasmonpolaritonsonbilayergraphenemetasurfaces
AT liangshengli dispersiontheoryofsurfaceplasmonpolaritonsonbilayergraphenemetasurfaces