Defect Modes in Multiple-Constituent One-Dimensional PhotonicCrystals Examined by an Analytic Bloch-Mode Approach

Abstract

Defect modes in one-dimensional photonic crystals (PCs) can bereadily detected from the solution of the transmission spectra viathe standard transfer-matrix method. We adopt an analytic Bloch-modeapproach to examine this problem in terms of eigenmode solutions andinvestigate the dispersion behaviour of localized defect modes supportedby a defect layer sandwiched within two symmetric semi-infinite PCs thatare made from multiple constituents. The results show that the numberof defect modes grows when the dielectric constant and width of thedefect layer increase.