Study on Linear Relationship between Refractive Index Difference and Band Gap Width of the 1-D PCs

Abstract

Set the Refractive Indexes of the One-Dimensional Photonic Crystals (1-D Pcs) were n2 and n3, Keeping n2=1.5 Unchanged and Adjusting n3 in the Range of 2.5--3.5, the Dispersion Curves were Obtained through Characteristic Matrix Method (CMM). The Results Show that when n3 Increased from 2.5 to 3.5, the Band Gap Width Also Increased from about 0.086 to 0.140 Correspondingly. Furthermore, the Results Show that it’s a Linear Growth Process between the Refractive Index Difference and the Band Gap Width of the 1-D Pcs, for the First Propose Quantitatively, there is a Relationship Equation Δω=0.0537(Δn)+0.0336(Δn=n3-n2) Approximately.