Optical properties of GaAs 2D Archimedean photonic lattice tiling with the p4g symmetry

Dj Jovanovic,R Gajic,K Hingerl

doi:10.2298/sos0802167j

Abstract

In this paper we present our investigation of 2D Archimedean lattice photonic crystals with p4g space group symmetry. The structures are made of GaAs both as air holes and dielectric rods in air. In order to analyze the photonic crystal optical properties we performed calculations of the band structures, equi-frequency contours and electromagnetic propagation through the basic structures and waveguides. In addition, we investigated negative refraction and left-handedness in the p4g photonic crystal.

Highlights

Photonic crystals (PhC) are periodically structured electromagnetic media, generally possessing photonic band gaps i.e. frequency ranges where light cannot propagate through the structure
PhC lattices were made as air hole structures (r/a=0.35, where ’’r’’ is the rod radius and ’’a’’ is the lattice constant equal to 1 μm) for research of negative left-handed materials (LH-), whereas for a waveguide application the structure consists of dielectric rod arrangement (r/a=0.3) in air
From the frequency dependences with k of the TE4 band near the Г symmetry point and from our previous work [6,7,8], we supposed that negative refraction will occur, a little bit below the first gap

Summary

Introduction

Photonic crystals (PhC) are periodically structured electromagnetic media, generally possessing photonic band gaps i.e. frequency ranges where light cannot propagate through the structure. PhCs, to metamaterials [3], exhibit interesting properties regarding negative refraction, left-handedness and light focusing [4,5,6,7,8,9,10,11]. Among the main research topics in PhC physics are certainly the effects of negative refraction and left-handedness that can be realized both in metamaterials and photonic crystals.

Results

Conclusion