ABSTRACT

Three-dimensional (3D) photonic crystals (PCs) have attracted much attention in the last decades mainly because of the possibility of an intelligent control of light and the potential applications in optoelectronics and microwave devices.1 Spatial periodicity of the dielectric function along three independent directions is essential to fabricate structures that exhibit a complete photonic band gap, that is, the propagation of light along any direction is forbidden for those photon energies within the gap.2 Improvements in the fabrication processes of these materials have made possible the observation of high-quality optical spectra in higher-order band frequencies.1-18 Although new fabrication techniques have alleviated the effect of disorder in the so-called low-energy range, where the lattice constant is less than the wavelength of light, it has recently been demonstrated that extinction due to intrinsic defects, which are unintentional disruptions of the spatial periodicity of the dielectric function arising during the fabrication process, strongly affects the shape of

CONTENTS

2.3.1 Introduction ......................................................................................................................... 39 2.3.2 KKR Multiple Scattering Approach ................................................................................. 41 2.3.3 Optical Response of a Perfectly Ordered Articial Opal ..............................................43 2.3.4 KKR Method for Modeling Imperfections ......................................................................44