Two-dimensional photonic crystal with triangular lattice structure of air cubes and its characteristics of band gap
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摘要: 基于平面波展開法比較研究了空氣圓柱三角晶格光子晶體和正方介質柱三角晶格光子晶體的禁帶特征,提出了正方空氣柱三角晶格光子晶體結構,并分析了相對介電常數對其禁帶寬度的影響.結果表明:空氣圓柱三角晶格光子晶體要比由同種介質材料構成的正方介質柱三角晶格光子晶體的完全禁帶要大得多;對于正方空氣柱三角晶格光子晶體,當相對介電常數εr>12.0時將出現雙禁帶,且當εr=19.0時兩條禁帶均達到最大值.Abstract: 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.
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