正方空气柱结构二维三角晶格光子晶体及其禁带特征

基于平面波展开法比较研究了空气圆柱三角晶格光子晶体和正方介质柱三角晶格光子晶体的禁带特征,提出了正方空气柱三角晶格光子晶体结构,并分析了相对介电常数对其禁带宽度的影响.结果表明:空气圆柱三角晶格光子晶体要比由同种介质材料构成的正方介质柱三角晶格光子晶体的完全禁带要大得多;对于正方空气柱三角晶格光子晶体,当相对介电常数εr>12.0时将出现双禁带,且当εr=19.0时两条禁带均达到最大值.

Two-dimensional photonic crystal with triangular lattice structure of air cubes and its characteristics of band gap

Band gap characteristics of the photonic crystals with triangular lattice of air cylinders and triangular lattice of dielectric cubes were comparatively studied by means of plane wave method.2D photonic crystal with triangular lattice of air cubes was put forward and the influence of dielectric constant on the band gap width was analyzed.The results show that the band gap width of photonic crystal with triangular lattice of air cylinders is much wider than that of photonic crystal with triangular lattice of dielectric cubes when the photonic crystals are made of the same material.For photonic crystal with triangular lattice of air cubes,theoretical calculations show that two complete photonic band gaps occur and the relative dielectric constant more than 12.0 for the appearance of two gaps.The two band gap width reaches its maximal value when the relative dielectric constant is 19.0.