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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.
The band structure and transmissivity of face-centered cubic three-dimensional photonic crystal composed of dielectric spheres are calculated by using the plane wave expansion method. The energy band and the transmission properties of SiO2 opal structured photonic crystals are studied by the number of suitable plane waves and calculated by the transfer matrix method The transmission properties of the electromagnetic wave along the [111] direction are consistent with the results obtained by the two methods.The full bandgap of the inverse opal structured photonic crystal is also studied.Finally, the effects of the surface-centered cubic photonic crystal The results show that the photonic crystal composed of a low dielectric constant dielectric shell with a proper thickness outside the high dielectric sphere can increase the relative bandgap width at L point by 50% and prove that the optimized inner / outer radius ratio is about 0.69 .