Band edge states of the n =0 gap of Fibonacci photonic lattices
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.78.035801 http://hdl.handle.net/11449/231847 |
Resumo: | 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 =0 and μ =0. © 2008 The American Physical Society. |
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Repositório Institucional da UNESP |
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Band edge states of the n =0 gap of Fibonacci photonic latticesThe 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 =0 and μ =0. © 2008 The American Physical Society.Faculdade de Ciências UNESP-Universidade Estadual Paulista, 17033-360, Bauru, São PauloInstituto de Física Universidad de Antioquia, AA 1226, MedellínInstituto de Física Universidade Federal de Alagoas, Maceió, Alagoas, 57072-970Inmetro Campus de Xerém, Duque de Caxias, Rio de Janeiro, 25250-020Instituto de Física Universidade Estadual de Campinas-UNICAMP, CP 6165, Campinas, São Paulo, 13083-970Faculdade de Ciências UNESP-Universidade Estadual Paulista, 17033-360, Bauru, São PauloUniversidade Estadual Paulista (UNESP)Universidad de AntioquiaUniversidade Federal de AlagoasInmetroUniversidade Estadual de Campinas (UNICAMP)Bruno-Alfonso, A. [UNESP]Reyes-Gómez, E.Cavalcanti, S. B.Oliveira, L. E.2022-04-29T08:47:48Z2022-04-29T08:47:48Z2008-09-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.78.035801Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 3, 2008.1050-29471094-1622http://hdl.handle.net/11449/23184710.1103/PhysRevA.78.0358012-s2.0-51649123520Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2024-04-29T14:59:54Zoai:repositorio.unesp.br:11449/231847Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:39:46.247380Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.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 Bruno-Alfonso, A. [UNESP] |
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 |
author |
Bruno-Alfonso, A. [UNESP] |
author_facet |
Bruno-Alfonso, A. [UNESP] Reyes-Gómez, E. Cavalcanti, S. B. Oliveira, L. E. |
author_role |
author |
author2 |
Reyes-Gómez, E. Cavalcanti, S. B. Oliveira, L. E. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidad de Antioquia Universidade Federal de Alagoas Inmetro Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Bruno-Alfonso, A. [UNESP] Reyes-Gómez, E. Cavalcanti, S. B. Oliveira, L. E. |
description |
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 =0 and μ =0. © 2008 The American Physical Society. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-09-04 2022-04-29T08:47:48Z 2022-04-29T08:47:48Z |
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://dx.doi.org/10.1103/PhysRevA.78.035801 Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 3, 2008. 1050-2947 1094-1622 http://hdl.handle.net/11449/231847 10.1103/PhysRevA.78.035801 2-s2.0-51649123520 |
url |
http://dx.doi.org/10.1103/PhysRevA.78.035801 http://hdl.handle.net/11449/231847 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 3, 2008. 1050-2947 1094-1622 10.1103/PhysRevA.78.035801 2-s2.0-51649123520 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129540397989888 |