Effects of both metamaterial inclusion and lack of inversion symmetry on the localized modes in one-dimensional photonic heterostructures under normal incidence are investigated. Each structure consists of two semi-infinite photonic crystals separated by an interface or by several layers. A general condition for light localization between semi-infinite crystals is given by parallelism between two-dimensional vectors in the electromagnetic (H, E) space. The case of a defective photonic crystal is recovered by joining crystals having the same unit cell. The defect modes display leftward and rightward damped oscillations with the same ratio, even when the unit cell lacks inversion symmetry. Their frequencies are found in good agreement with peaks of the transmittance through truncated structures. In heterostructures including metamaterials, an anomalous exponential decay of the magnetic field is found near one edge of the zero-〈n〉 gap.

研究了超材料包含和缺乏反转对称性对垂直入射下一维光子异质结构中局部模式的影响。每个结构由两个半无限光子晶体组成，它们被一个界面或几层隔开。半无限晶体之间光定位的一般条件由电磁场中二维向量之间的平行性给出（H ,  E） 空间。通过连接具有相同晶胞的晶体来恢复有缺陷的光子晶体的情况。即使晶胞缺乏反转对称性，缺陷模式也显示出具有相同比率的向左和向右阻尼振荡。发现它们的频率与通过截断结构的透射率峰值非常一致。在包括超材料的异质结构中，在零-〈n〉间隙的一个边缘附近发现磁场的异常指数衰减。