由介质球构成的三维光子晶体能带结构的平面波研究

采用平面波展开方法计算由介质球构成的面心立方三维光子晶体的能带结构及透射性质.选 用合适的平面波个数研究了SiO₂蛋白石结构光子晶体的能带及透射性质，并采 用转移矩阵 方法计算了电磁波沿［111］方向的传输特性，两种方法得到的结果相符合.还研究了反蛋白 石结构光子晶体的全带隙.最后，研究了壳层介质球构成的面心立方结构光子晶体的能带特 性，发现在高介质球外面包裹适当厚度的低介电常数介质壳层所构成的光子晶体，可以增大 L点相对带隙宽度50％，并证明了其优化内外半径比值约为0．69. 关键词： 光子晶体 光子能带 平面波展开方法 Core-Shell结构

Band structures of three-dimensional photonic crystals consisting of dielectric spheres: a plane-wave approach

Using the plane-wave method, we calculate the band structures and transmission characteristics of the three-dimensional fcc photonic crystals. For a SiO_{2< /sub> opa l photonic crystal, we calculate the energy spectrum and the transmission featu re of electromagnetic waves along the 111] direction using both the plane-wave method and the transfer-matrix method, the obtained results are consistent wit h each other. For a full band gap studies of the inverse-opal structure, the co nvergence effect in the plane-wave method on the calculation is discussed. For an fcc lattice of core-shell sphere, it is shown that the relative L-gap width of a suitable coating of dielectric spheres of a lower dielectric material can increase by 50% as compared with that of homogeneous high-dielectric spheres. We also find that the optimum radius ratio between interior and entire spheres is 0.69.}