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中文摘要：
采用平面波展开法对两类晶格（三角晶格和正方晶格）及圆形空气孔或两种非圆形空气孔（正方形和六边形）构成的二维光子晶体带隙率进行了数值研究，分析了填充比f对带隙率ωR的影响．结果表明，晶格对称结构和空气孔形状对带隙大小有影响．给定晶格对称结构，选择具有相同对称形状的空气孔能得到较大的绝对光子带隙．在这3种空气孔当中，三角晶格对应六边形空气孔有最大带隙率，当填充比f=0．8时，带隙率ωR=23．39／6；正方晶格对应正方形空气孔有最大带隙率，当填充比f=0．67时，带隙率ωR=14．7％．
英文摘要：
The photonic band gap-midgap ratio of two-dimensional photonic crystals consisting of two different lattices （triangular and square） and air holes of circular or two noncircular shapes （square and hexagon） were studied numerically using the plane-wave expansion method. The effect of the filling ratio f on the gap-midgap ratio COR was analyzed. The results show that the lattice symmetry and the shapes of the air holes can affect band gap size. Given a lattice symmetry, larger absolute photonic band gap was achieved by selecting an air hole shape of the same symmetry. Among these three air holes, hexagonal air holes in triangular lattice have the largest gap-midgap ratio,where f = 0.8,ωR = 23. 3 %; square air holes in square lattice have the largest gap-midgap ratio,wheref = 0.67 ,ωR=14. 7%.
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