Sensitivity of surface states to the stack sequence of one-dimensional photonic crystals

We employ an analytical Bloch-mode approach to analyse the dispersion behaviour of localized surface states supported in the surface of a semi-infinite one-dimensional (1D) photonic crystal (PC) that is adjacent to an air background. The crystal can consist of two composite layers or multiple composite layers. We find that the optical properties of the surface modes are quite different between the TM and TE polarizations. The surface state properties are sensitive to the stack sequence of the semi-infinite 1D PC with respect to the air background. In many structures, the dispersion curve of the surface mode for one composite layer at the surface exhibits connectivity with the dispersion curve for the other composite layer at the surface.