中文摘要：

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。

英文摘要：

The electromagnetic transmission properties of one-dimensional photonic crystals containing anisotropic metamaterial were investigated by transfer matrix method. The results show that the photonic crystals possess Omnidirectional zero average index （zero-g） gap. The gap is invariant with the incident angles, lattice scaling and different directions of polarization. When an impurity is introduced, a defect mode appears inside zero-gap with little dependence on incident angles, lattice scaling and polarization directions,which is different from that in a conventional Bragg gap. The characteristic will make this photonic crystal have potential applications in omnidirectional reflectors and filters.