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Proceedings Paper

Analytical description of band gaps in a ternary metallo-dielectric stack
Author(s): A. Alejo-Molina; J. J. Sánchez-Mondragón; A. Zamudio-Lara; D. L. Romero-Antequera; M. Torres-Cisneros; D. E. Ceballos-Herrera
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Paper Abstract

Metallo Dielectric Photonic Crystals formed by same periodicity metallic inserts in a Dielectric Photonic Crystal show three kind of band gaps, those at the well know dielectric band gap, the ones attributed to the absorption of metal to low frequencies and a new class of metallic bandgaps. Numerical studies have confirmed that while the dielectric band gap width is basically described by the refraction index contrast, the width of the metallic band is described by the thickness of the metal inserts. In this work we carry on the corresponding analytical analysis of both band gaps for this one dimensional ternary dielectric-dielectric-metal structure. The stack that we are proposing is a quarter-wave for the dielectrics and the thickness of the metallic layers is changed as a free parameter. Using standard transfer matrix formalism, we find a closed form of the dispersion relation and from it; we have analytically demonstrated the formation and width of the dielectric band gap and its metallic perturbation, as well as those of the additional metallic band gap.

Paper Details

Date Published: 3 November 2011
PDF: 6 pages
Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 801167 (3 November 2011); doi: 10.1117/12.902977
Show Author Affiliations
A. Alejo-Molina, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
J. J. Sánchez-Mondragón, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
A. Zamudio-Lara, Univ. Autónoma del Estado de Morelos (Mexico)
D. L. Romero-Antequera, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
M. Torres-Cisneros, Univ. de Guanajuato (Mexico)
D. E. Ceballos-Herrera, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)


Published in SPIE Proceedings Vol. 8011:
22nd Congress of the International Commission for Optics: Light for the Development of the World
Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Rufino Díaz-Uribe; Rufino Díaz-Uribe; Rufino Díaz-Uribe, Editor(s)

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