Research on the hybrid method of finite element method and Floquet theorem for analysis of 2D PBG structures

Photonic band-gap (PBG) can achieve band elimination filter entirely depend on its structure, and its structure is very simple. So it has good application prospects in the fields of microwave circuits and microwave antennae. In this paper, the hybrid method of finite element method incorporated with Floquet theorem is used to solve the 2D scattering problem of dielectric PBG upon which a plane wave is oblique or perpendicular incident. The computing method efficiently reduces the computational complexity and required memories by exploiting the periodicity of PBG. With different dielectric and geometry parameters, visual image of electric field of incident and scattering wave have been made based on simulation results. Comparisons of reflection and transmission properties for a kind of dielectric PBG with different structure parameters are presented, which is helpful for the engineering design of the structures.