The plane wave expansion method is used to calculate the band gap width of two-dimensional photonic crystal based on honeycomb structure for the transversal electric polarized mode, transversal magnetic polarized mode and absolute photonic band gap by taking into account the effects of the relative dielectric constant and filling ratio on the band gap. The results show that a largest complete photonic band gap is obtained, with the normalized band gap width △G_(max)/ω_0 = 25% for the circular dielectric rods structure. We conclude that forming band gap in the circular dielectric rods structure is easier than in the air hole structure.
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