Channel surface plasmons in a continuous and flat graphene sheet

Bibliographic Details
Main Author: Chaves, A. J.
Publication Date: 2018
Other Authors: Peres, N. M. R., da Costa, D. R., Farias, G. A.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/61489
Summary: We derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is mathematically equivalent to the solution of a Fredholm equation, which we solve exactly. In addition, we show that the dispersion relation of the channel surface plasmons is determined by the geometric parameters of the protrusion alone. We also show that such a system supports both even and odd modes. We give the electrostatic potential and the intensity plot of the electrostatic field, which clearly show the transverse localized nature of the surface plasmons in a continuous and flat graphene sheet.
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spelling Channel surface plasmons in a continuous and flat graphene sheetCiências Naturais::Ciências FísicasScience & TechnologyWe derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is mathematically equivalent to the solution of a Fredholm equation, which we solve exactly. In addition, we show that the dispersion relation of the channel surface plasmons is determined by the geometric parameters of the protrusion alone. We also show that such a system supports both even and odd modes. We give the electrostatic potential and the intensity plot of the electrostatic field, which clearly show the transverse localized nature of the surface plasmons in a continuous and flat graphene sheet.A.J.C. acknowledges a scholarship from the Brazilian agency CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico). N.M.R.P. acknowledges the European Commission through the project Graphene-Driven Revolutions in ICT and Beyond (Ref. No. 696656) and the Portuguese Foundation for Science and Technology (FCT) in the framework of the Strategic Financing UID/FIS/04650/2013. D.R.C. and G.A.F. acknowledge CNPq under the PRONEX/FUNCAP grants and the CAPES Foundation.American Physical SocietyUniversidade do MinhoChaves, A. J.Peres, N. M. R.da Costa, D. R.Farias, G. A.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/61489eng2469-995010.1103/PhysRevB.97.205435info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:23:05Zoai:repositorium.sdum.uminho.pt:1822/61489Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:51:34.275982Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Channel surface plasmons in a continuous and flat graphene sheet
title Channel surface plasmons in a continuous and flat graphene sheet
spellingShingle Channel surface plasmons in a continuous and flat graphene sheet
Chaves, A. J.
Ciências Naturais::Ciências Físicas
Science & Technology
title_short Channel surface plasmons in a continuous and flat graphene sheet
title_full Channel surface plasmons in a continuous and flat graphene sheet
title_fullStr Channel surface plasmons in a continuous and flat graphene sheet
title_full_unstemmed Channel surface plasmons in a continuous and flat graphene sheet
title_sort Channel surface plasmons in a continuous and flat graphene sheet
author Chaves, A. J.
author_facet Chaves, A. J.
Peres, N. M. R.
da Costa, D. R.
Farias, G. A.
author_role author
author2 Peres, N. M. R.
da Costa, D. R.
Farias, G. A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Chaves, A. J.
Peres, N. M. R.
da Costa, D. R.
Farias, G. A.
dc.subject.por.fl_str_mv Ciências Naturais::Ciências Físicas
Science & Technology
topic Ciências Naturais::Ciências Físicas
Science & Technology
description We derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is mathematically equivalent to the solution of a Fredholm equation, which we solve exactly. In addition, we show that the dispersion relation of the channel surface plasmons is determined by the geometric parameters of the protrusion alone. We also show that such a system supports both even and odd modes. We give the electrostatic potential and the intensity plot of the electrostatic field, which clearly show the transverse localized nature of the surface plasmons in a continuous and flat graphene sheet.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/61489
url http://hdl.handle.net/1822/61489
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2469-9950
10.1103/PhysRevB.97.205435
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595584885293056

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