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...
- 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:
- Cristales fotónicos
Fibonacci
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
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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 Cristales fotónicos Fibonacci |
| 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.subject.none.fl_str_mv |
Cristales fotónicos Fibonacci |
| topic |
Cristales fotónicos Fibonacci |
| 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. |
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2008 |
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2008 |
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2017-09-28T19:57:14Z |
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2017-09-28T19:57:14Z |
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info:eu-repo/semantics/article |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 http://purl.org/coar/version/c_71e4c1898caa6e32 |
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Artículo de investigación |
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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 |
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1094-1622 |
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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 |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/2.5/co/ |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia http://creativecommons.org/licenses/by-nc-nd/2.5/co/ http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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application/pdf |
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The American Physical Society |
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Grupo de Física Atómica y Molecular |
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Estados Unidos |
| institution |
Universidad de Antioquia |
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andres.perez@udea.edu.co |
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Bruno Alfonso, AlexisReyes Gómez, Ernesto AmadorCavalcanti, Solange BessaOliveira, Luiz Eduardo2017-09-28T19:57:14Z2017-09-28T19:57:14Z2008Bruno 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. 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.application/pdfengThe American Physical SocietyGrupo de Física Atómica y MolecularEstados Unidosinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/version/c_71e4c1898caa6e32Atribución-NoComercial-SinDerivadas 2.5 Colombiainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Cristales fotónicosFibonacciBand edge states of the (n)=0 gap of Fibonacci photonic latticesPhys Rev APhysical Review A147835801ORIGINALReyesErnesto_2008_BandEdgeStates.pdfReyesErnesto_2008_BandEdgeStates.pdfArtículo de investigaciónapplication/pdf207665http://bibliotecadigital.udea.edu.co/bitstream/10495/8402/1/ReyesErnesto_2008_BandEdgeStates.pdf25b862f2f40d2a4afa5b72ffed1d1328MD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://bibliotecadigital.udea.edu.co/bitstream/10495/8402/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/8402/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/8402/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/8402/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5510495/8402oai:bibliotecadigital.udea.edu.co:10495/84022021-05-16 11:46:04.955Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |