Analysis of Localized Modes in Photonic Crystal by the Curie Symmetry Principle

Abstract

Localized defect region within two-dimensional photonic crystal waveg-uides is an important element for photonic crystal (PC) applications. Especially, nano- or micro-cavity resonators is one of importantly used components in PC-based devices. In this thesis, it is suggested that the investigation of physical processes in photonic crystal resonances in the phenomenological approach is connected with the symmetrical aspect of the causality principle. In particular, the symmetrical aspect of PC structure itself and the applying ?eld both are critical factors for resonant mode analysis. With the use of the Curie symmetry principle, a simple intuitive method to determine the appearing resonant modes within PCs is proposed. Comparison to numerical simulations demonstrates the power of this modest analysis in determining the critical symmetry condition for the selection of localized defect states within photonic crystals.