Spatial and frequency domain effects of defects in 1D photonic crystal

TL;DR

This paper analyzes how defects in one-dimensional photonic crystals affect their optical properties, revealing defect modes, local effects, and band gap splitting through an analytic model.

Contribution

It introduces an analytic model to study the impact of defects on the density of states and spontaneous emission in 1D photonic crystals, including multiple defect effects.

Findings

Defects create localized defect modes.

Defects cause photonic band gap splitting.

Local effects diminish with distance from defects.

Abstract

The aim of this paper is to present the analysis of influence of defects in 1D photonic crystal (PC) on the density of states and simultaneously spontaneous emission, in both spatial and frequency domains. In our investigations we use an analytic model of 1D PC with defects. Our analysis reveals how presence of a defect causes a defect mode to appear. We show that a defect in 1D PC has local character, being negligible in regions of PC situated far from the defected elementary cell. We also analyze the effect of multiple defects, which lead to photonic band gap splitting.