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采用平面波展开法和时域有限差分法研究了由空气环组成的二维三角晶格光子晶体平板的负折射成像特性.研究结果表明对于外半径为0.4a,内半径0—0.13a的空气环型光子晶体,第二能带中归一化频率为0.3的电磁波可以实现有效折射率为-1的负折射成像.通过光子晶体有效折射率的计算,得到了有效折射率为-1的电磁波频率随空气环内径由0—0.2a变化的规律,并由对应等频曲线的变化解释了结构参数对光子晶体平板成像的影响.
The negative refraction imaging of a two-dimensional triangular lattice photonic crystal plate composed of air rings was studied by the plane wave expansion method and the finite difference time-domain method. The results show that for an air ring with an outer radius of 0.4a and an inner radius of 0-0.13a Type photonic crystal and an electromagnetic wave with a normalized frequency of 0.3 in the second energy band can realize negative refraction imaging with an effective refractive index of -1 By calculating the effective refractive index of the photonic crystal, an electromagnetic wave frequency with an effective refractive index of -1 With the variation of inner diameter of air ring from 0-0.2a, the influence of structural parameters on the imaging of photonic crystals is explained by the change of corresponding contour curves.