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
| Summary: | 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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