New approach to analyze the band structure characteristics of one-dimensional photonic system

Abstract

In this paper, we employ three dimensionless system parameters, induced by the contrast of the wave vector, geometric size, and wave impedance of two materials, to analyze the band structure characteristics of a one-dimensional photonic system. We have obtained the dependence relationships of the bandgap position, width, and depth on the dimensionless system parameters. Moreover, we also work out the relationships between the wave vector and geometric size contrast ratios, which can reveal the occurrence of topological phase transitions. These properties should be especially helpful for manipulating the bandgap in novel devices based on a one-dimensional photonic system.