Design equations of two-dimensional dielectric photonic band gap structures

Abstract

This paper presents simple formulas for designing different configurations of two-dimensional photonic band gap (PBG) structures. These formulas are obtained by interpolating full wave analysis based on the plane wave expansion method. The design parameters of these formulas include the physical dimensions of the unit cell and the electrical properties of both host and inclusion in the structure. These formulas represent an efficient and fast method to obtain the band gap and the center frequency of different PBG structures.