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基于平面波展开法,以介电常数分别为1F/m和13.18F/m的物质构成三角晶格二维光子晶体,改变空气孔半径r与晶格常数a之间的大小,数值模拟得到了三角晶格二维光子晶体横磁模带隙,当r=0.4a时形成3处三角晶格二维光子晶体横电模的带隙,其中最大三角晶格二维光子晶体横电模带隙出现在0.2424—0.4129Hz,差值为0.1705Hz。相比r=0.4a横磁模形成的最大带隙0.1057Hz较大。研究结论为光子晶体器件的制作提供参考。
Based on the plane wave expansion method, the triangular lattice 2D photonic crystals are formed by the material with dielectric constant of 1F / m and 13.18F / m respectively, and the size of the air hole radius r and the lattice constant a is changed. Lattice two-dimensional photonic crystal transverse magnetic mode band gap, when r = 0.4a, the formation of three triangular lattice two-dimensional photonic crystal transverse mode band gap, the largest triangle lattice two-dimensional photonic crystal transverse band gap appears At 0.2424-0.4129 Hz, the difference is 0.1705 Hz. Compared with r = 0.4a, the maximum band gap 0.1057Hz formed by transverse magnetic mode is larger. The conclusion of the study provides a reference for the fabrication of photonic crystal devices.