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计算了由正负折射率材料交替生长形成的半无限一维光子晶体的反射率,发现在带隙中,反射率等于1,在通带内,半无限结构的反射率是有限层结构迅速振荡的反射率平均的结果.当该结构中正负折射率材料的光学厚度相互抵消时,会出现零平均折射率能隙.解析地证明了该结构零平均折射率附近的能隙几乎不随入射角度和偏振情况变化,而且跟晶格常数的标度无关.
The reflectivity of the semi-infinite one-dimensional photonic crystal formed by the alternating growth of positive and negative refractive index materials was calculated. The reflectivity of the semi-infinite one-dimensional photonic crystal formed in the band gap was found to be 1. In the passband, the reflectivity of the semi- When the optical thicknesses of the positive and negative refractive index materials in the structure cancel each other out, the zero-mean refractive index energy gap appears. It is proved analytically that the energy gap near zero average refractive index of the structure hardly changes with the incident angle And polarization changes, but not with the lattice constant of the scale.