Band edge states of the (n)=0 gap of Fibonacci photonic lattices

ABSTRACT: The stationary and normally incident electromagnetic modes in Fibonacci lattices with generating layers of positive and negative indices of refraction are calculated by a transfer-matrix technique. It is shown that the condition for constructive interference of reflected waves is fulfilled...

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Autores:
Bruno Alfonso, Alexis
Reyes Gómez, Ernesto Amador
Cavalcanti, Solange Bessa
Oliveira, Luiz Eduardo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2008
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/8402
Acceso en línea:
http://hdl.handle.net/10495/8402
Palabra clave:
Campos electromagnéticos
Electromagnetic fields
Refracción
Refraction
Transferencia de energía
Energy transfer
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-nd/4.0/
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network_acronym_str UDEA2
network_name_str Repositorio UdeA
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dc.title.spa.fl_str_mv Band edge states of the (n)=0 gap of Fibonacci photonic lattices
title Band edge states of the (n)=0 gap of Fibonacci photonic lattices
spellingShingle Band edge states of the (n)=0 gap of Fibonacci photonic lattices
Campos electromagnéticos
Electromagnetic fields
Refracción
Refraction
Transferencia de energía
Energy transfer
title_short Band edge states of the (n)=0 gap of Fibonacci photonic lattices
title_full Band edge states of the (n)=0 gap of Fibonacci photonic lattices
title_fullStr Band edge states of the (n)=0 gap of Fibonacci photonic lattices
title_full_unstemmed Band edge states of the (n)=0 gap of Fibonacci photonic lattices
title_sort Band edge states of the (n)=0 gap of Fibonacci photonic lattices
dc.creator.fl_str_mv Bruno Alfonso, Alexis
Reyes Gómez, Ernesto Amador
Cavalcanti, Solange Bessa
Oliveira, Luiz Eduardo
dc.contributor.author.none.fl_str_mv Bruno Alfonso, Alexis
Reyes Gómez, Ernesto Amador
Cavalcanti, Solange Bessa
Oliveira, Luiz Eduardo
dc.contributor.researchgroup.spa.fl_str_mv Grupo de Física Atómica y Molecular
dc.subject.lemb.none.fl_str_mv Campos electromagnéticos
Electromagnetic fields
Refracción
Refraction
Transferencia de energía
Energy transfer
topic Campos electromagnéticos
Electromagnetic fields
Refracción
Refraction
Transferencia de energía
Energy transfer
description ABSTRACT: The stationary and normally incident electromagnetic modes in Fibonacci lattices with generating layers of positive and negative indices of refraction are calculated by a transfer-matrix technique. It is shown that the condition for constructive interference of reflected waves is fulfilled when the ratio of optical paths in positive and negative media are given by the golden ratio. Furthermore, in the long-wavelength limit, it is demonstrated that the edges of the (n)=0 gap are the frequencies satisfying the conditions (E)=0 and (u)=0.
publishDate 2008
dc.date.issued.none.fl_str_mv 2008
dc.date.accessioned.none.fl_str_mv 2017-09-28T19:57:14Z
dc.date.available.none.fl_str_mv 2017-09-28T19:57:14Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Bruno Alfonso, A., Reyes Gómez, E. A., Cavalcanti, S. B., & Oliveira, L. E. (2008). Band edge states of the (n)=0 gap of Fibonacci photonic lattices. Physical Review A. 78(035801), 1-4. DOI:10.1103/PhysRevA.78.035801
dc.identifier.issn.none.fl_str_mv 1094-1622
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10495/8402
dc.identifier.doi.none.fl_str_mv 10.1103/PhysRevA.78.035801
dc.identifier.eissn.none.fl_str_mv 1050-2947
identifier_str_mv Bruno Alfonso, A., Reyes Gómez, E. A., Cavalcanti, S. B., & Oliveira, L. E. (2008). Band edge states of the (n)=0 gap of Fibonacci photonic lattices. Physical Review A. 78(035801), 1-4. DOI:10.1103/PhysRevA.78.035801
1094-1622
10.1103/PhysRevA.78.035801
1050-2947
url http://hdl.handle.net/10495/8402
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Phys Rev A
dc.relation.citationendpage.spa.fl_str_mv 4
dc.relation.citationissue.spa.fl_str_mv 35801
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 78
dc.relation.ispartofjournal.spa.fl_str_mv Physical Review A
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dc.publisher.spa.fl_str_mv The American Physical Society
dc.publisher.place.spa.fl_str_mv Estados Unidos
institution Universidad de Antioquia
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spelling Bruno Alfonso, AlexisReyes Gómez, Ernesto AmadorCavalcanti, Solange BessaOliveira, Luiz EduardoGrupo de Física Atómica y Molecular2017-09-28T19:57:14Z2017-09-28T19:57:14Z2008Bruno Alfonso, A., Reyes Gómez, E. A., Cavalcanti, S. B., & Oliveira, L. E. (2008). Band edge states of the (n)=0 gap of Fibonacci photonic lattices. Physical Review A. 78(035801), 1-4. DOI:10.1103/PhysRevA.78.0358011094-1622http://hdl.handle.net/10495/840210.1103/PhysRevA.78.0358011050-2947ABSTRACT: The stationary and normally incident electromagnetic modes in Fibonacci lattices with generating layers of positive and negative indices of refraction are calculated by a transfer-matrix technique. It is shown that the condition for constructive interference of reflected waves is fulfilled when the ratio of optical paths in positive and negative media are given by the golden ratio. 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