Properties of the Band Gaps in 1D Ternary Lossy Photonic Crystal Containing Double-Negative Materials

Alireza Aghajamali,Mahmood Barati,Maryam Akbarimoosavi

doi:10.1155/2014/129568

Abstract

Theoretically, the characteristics matrix method is employed to investigate and compare the properties of the band gaps of the one-dimensional ternary and binary lossy photonic crystals which are composed of double-negative and double-positive materials. This study shows that by varying the angle of incidence, the band gaps for TM and TE waves behave differently in both ternary and binary lossy structures. The results demonstrate that, by increasing the angle of incidence for the TE wave, the width and the depth of zero-n¯, zero-μ, and Bragg gap increase in both ternary and binary structures. On the other hand, the enhancement of the angle of incidence for the TM wave contributes to reduction of the width and the depth of the zero-n¯ and Bragg gaps, and they finally disappear for incidence angles greater than 50° and 60° for the binary structure and 40° and 45° for the ternary structures, respectively. In addition, the details of the edges of the band gaps variations as a function of incidence angle for both structures are studied.

Highlights

Photonic crystals (PCs) are artificial dielectric or metallic structures in which the refractive index changes periodically
Based on the theoretical model described in the previous section, the transmission spectrum of the presented lossy Metamaterial Photonic Crystals” (MPCs) structures was calculated
Similar behavior is observed for the Bragg gap for the angles of incidence greater than 45∘ and 60∘ for binary and ternary structures, respectively

Summary

Introduction

Photonic crystals (PCs) are artificial dielectric or metallic structures in which the refractive index changes periodically. The periodic structure of the PCs contributes to photonic band gap (forbidden range of frequencies). The technological relevance of the MPCs is of great importance These structures have attracted considerable attention for their various applications. The metamaterials are utilized to design one-dimensional (1D) binary and ternary MPCs with layers of double-negative (DNG) and double-positive (DPS) materials. In these structures, various band gaps can be seen in the transmission spectrum. The properties and characteristics of the zero-n gap of 1D binary PC structure consisting of DNG and DPS materials were investigated in recent years, such as bandwidth, the depth, and the central frequency of the gap [9,10,11,12,13,14,15]

Methods

Results

Conclusion