An Efficient Approach to Identifying a Complete Photonic Band Gap in Two-dimensional Photonic Crystals with Omnidirectional Light Propagation

R. F. Jao1,2, and M.-C. Lin1
1NanoScience Simulation Laboratory, Department of Physics, Fu Jen Catholic University, Taipei County, Taiwan
2Department of Physics, National Cheng Kung University, Tainan, Taiwan

Omnidirectional light propagation in two-dimensional (2D) photonic crystals (PCs) is investigated. An efficient approach to identifying a complete photonic band gap (PBG) in 2D PCs has been developed. The in-plane band structure of 2D photonic crystals is calculated by an adaptive finite element method, as implemented in COMSOL.

By adopting the suitable boundary conditions, the eigenvalues can be easily and rapidly calculated, no matter how complex the geometric structures are. By symmetry, the omnidirectional photon density of states (PDOS) can be calculated based on the in-plane dispersion relation within the irreducible Brillouin zone.