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利用传输矩阵方法研究了含各向异性特异材料的一维光子晶体的电磁传输性质。结果表明,光子晶体具有全向的零平均折射率带隙。这种全向带隙几乎不受晶格尺度、波的极化方向和入射角的影响。当一缺陷引入到光子晶体中时,会有电磁缺陷模出现。零平均折射率带隙中的缺陷模与普通Bragg带隙中的缺陷模不同,几乎不受晶格尺度、波的极化方向和入射角的影响。这一性质将在全向反射镜或滤波器中具有潜在的应用价值。
The transfer matrix method was used to study the electromagnetic properties of one-dimensional photonic crystals with anisotropic materials. The results show that the photonic crystal has an omnidirectional zero mean bandgap. This omnidirectional bandgap is hardly affected by the lattice scale, the polarization of the wave and the angle of incidence. When a defect is introduced into the photonic crystal, an electromagnetic defect mode occurs. The defect modes in the zero-mean-index-bandgap are different from the defect modes in the ordinary Bragg bandgap, and are hardly affected by the lattice scale, the polarization direction of the wave and the incident angle. This property will have potential applications in omni-directional mirrors or filters.