Two-dimension photonic crystal complete bandgap

Abstract

Photonics crystal (PhC) is the material in which the refractive index changes periodically and the PhC has a band structure and location mode, this structure can control light. In order to study two-dimensional PhC complete band gap, in this paper, plane wave expansion method was employed to simulate four types of two-dimensional PhC. We study the relationship between the complete bandgap and the variation of column radius r with a fixed lattice constant. We found that hexagonal lattice PhC air holes complete band gap appears in the r=0.42~0.50 μm range, complete band gap width does not increase with the air column radiu r, but there is a maximum width. The maximum band gap width is Δω1=0.08(ωa/2πc).When air column radiu r=0.47~0.50 μm,square lattice PhC exists complete bandgap, the band gap width Δω2=0.02(ωa/2πc).And complete band gap center frequency increases with r. Results indicate that for hexagonal and square GaAs columnar PhC there is no complete band gap. Show more