Título

Photon transport in binary photonic lattices

Autor

BLAS MANUEL RODRIGUEZ LARA

Héctor Manuel Moya Cessa

Nivel de Acceso

Acceso Abierto

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Materias

Mathematical methods - (INSPEC) Electromagnetic field - (INSPEC) Binary lattices - (INSPEC) Photon transport - (INSPEC) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) FÍSICA - (CTI) ÓPTICA - (CTI) ÓPTICA - (CTI)

Resumen o descripción

We present a review on the mathematical methods used to theoretically study classical propagation and quantum transport in arrays of coupled photonic waveguides. We focus on analysing two types of binary photonic lattices where selfenergies or couplings are alternated. For didactic reasons, we split the analysis in classical propagation and quantum transport but all methods can be implemented, mutatis mutandis, in any given case. On the classical side, we use coupled mode theory and present an operator approach to Floquet-Bloch theory in order to study the propagation of a classical electromagnetic field in two particular infinite binary lattices. On the quantum side, we study the transport of photons in equivalent finite and infinite binary lattices by couple mode theory and linear algebra methods involving orthogonal polynomials. Curiously the dynamics of finite size binary lattices can be expressed as roots and functions of Fibonacci polynomials.

Editor

Physica Scripta

Fecha de publicación

11 de febrero de 2013

Tipo de publicación

Artículo

Versión de la publicación

Versión aceptada

Recurso de información

http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2195

Formato

application/pdf

Idioma

Inglés

Audiencia

Estudiantes

Investigadores

Público en general

Sugerencia de citación

Rodríguez-Lara, B. M., and Moya-Cessa, H., (2013). Photon transport in binary photonic lattices, Physica Scripta, Vol. 87(3):1-13

Repositorio Orígen

Repositorio Institucional del INAOE

Descargas

149