【摘要】 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.更多还原

【Abstract】 Using the plane_wave method, we calculate the band structures and transmission characteristics of the three_dimensional fcc photonic crystals. For a SiO 2 opal photonic crystal, we calculate the energy spectrum and the transmission feature of electromagnetic waves along the \ direction using both the plane_wave method and the transfer_matrix method, the obtained results are consistent with each other. For a full band gap studies of the inverse_opal structure, the convergence 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.更多还原