1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 * Corresponding author: email adalberto_am@hotmail.com, Phone: +52 (222) 2663100, Fax: +52 (222) 2472580 Localization and Characterization of the Metallic Band Gaps in a Ternary Metallo-Dielectric Photonic Crystal Adalberto Alejo-Molina * , David L. Romero-Antequera, José J. Sánchez-Mondragón Instituto Nacional de Astrofísica, Óptica y Electrónica. Calle Luis Enrique Erro No. 1. Tonantzintla, Puebla. C.P. 72000. México. Phone: +52 (222) 2663100, Fax: +52 (222) 2472580 Abstract In this work, we demonstrate the existence of structural metallic band gaps in a ternary material, dielectric-dielectric-metal, and we show analytical equations for their computation. We show the existence of metallic band gaps not only in the lowest band but also for high frequencies. These gaps are structural ones but different and additional to the dielectric ones in the dielectric photonic crystal substrate. Therefore, as the desire properties of both, the dielectric and metallic photonic crystals, are present the applications for this particular structure are straightforward. Keywords: photonic crystal, metal, band gap width 1. Introduction Dielectric photonic crystals (DPC) have been widely studied experimentally [1] since Second World War under the concept of thin-films. Thin-films are very important because their direct application in optical filters, antireflection films and coatings, but all their development were in some sense empiric knowledge of the materials and their combinations despite these kind of stratified media were first theoretical studied by Lord Rayleigh in 1887 [2]. Often, a stack formed of a dielectric material and a metallic layer is called metallic photonic crystal (MPC) [3-8]. In most of the related works, metallic layers are thin (less than the skin depth) and the dielectric material is air (n a = 1). One of the first works in MPC was due to Kuzmiak and Maradudin [3]. They presented two methods to deal with the metallic components in the case of 1D-DPC, the Transfer Matrix Method (TMM) model and perturbative plane-wave method (PWM). These authors calculated band structure for thin metallic layers in a regime where band diagrams are still valid. In contrast, Yablonovitch and co-workers explored the opposite regimen of thick metallic layers where the inclusion of metal cannot be considered a perturbation and band structures are no longer valid. The study of stacks could appear to be an old problem. However, new effects and interesting phenomena [9] could be studied and modeled in this “well-known” structure. For example, combinations of positive and negative indexes [10, 11], or linear with nonlinear and nonlinear-nonlinear stacks [12, 13]. Also, new geometries, as for example Bragg fibers [14] or Bragg onion [15-17] can be explored beginning from the basic 1D- *Manuscript Click here to view linked References A Alejo-Molina DL Romero-Antequera and JJ Sánchez-Mondragón Optics Comm 312 168-174 (2014) http://dx.doi.org/10.1016/j.optcom.2013.09.021