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Revista mexicana de física
Print version ISSN 0035-001X
Rev. mex. fis. vol.49 n.4 México Aug. 2003
Investigación
Band structure for the cladding of a hollow core photonic crystal fibre
J. Arriaga and B. Meneses
Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, México
Recibido el 18 de octubre de 2002.
Aceptado el 25 de febrero de 2003.
Abstract
We calculate the photonic band structure of a two dimensional (2D) photonic crystal (PC) formed by a hexagonal array of circular rings embedded in air. This crystal has been used as the cladding of a photonic crystal fibre whose core is composed of air. We solve the Maxwell equations using the plane wave method to expand the fields and the dielectric constant. Óur calculations reveal that for propagation in the plane of periodicity, the PC possesses no complete photonic band gaps. However we demonstrate the existence of complete photonic band gaps for propagation out of the plane of periodicity.
Keywords: Band structure, photonic crystals, fibre optics.
Resumen
Calculamos la estructura de bandas fotónica para un cristal fotónico bidimensional formado por un arreglo hexagonal de aros circulares en una matriz de aire. Este cristal se ha usado como la envolvente de una fibra óptica de cristal fotónico, cuyo núcleo está compuesto de aire. Resolvemos las ecuaciones de Maxwell y usamos el método de ondas planas para expander los campos y la constante dieléctrica. Nuestros cálculos revelan que, para la propagación en el plano de periodicidad, el cristal fotónico no posee brechas fotónicas completas. Sin embargo, demostramos la existencia de brechas fotónicas completas para propagación fuera del plano de la periodicidad.
Palabras clave: Estructura de bandas, cristales fotónicos, fibras ópticas.
PACS: 71.20.-b,42.70.Qs,42.81.-i
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Acknowledgements
This work has been partially supported by Conacyt, México, under grant No. 33808-E.
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