The localized modes of one-dimensional photonic crystals without inversion symmetry are calculated by using linear combinations of Wannier functions. A closed form is given for the phase of the Bloch function leading to maximally localized Wannier functions. The defect consists of changing the refractive index of one layer in a single unit cell. The results for the frequencies and magnetic-field profiles of the localized modes are found in good agreement with calculations based on the transfer-matrix method. The need for maximally localized Wannier functions is discussed.

中文翻译：

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一维光子晶体中局部模式的Wannier函数展开，没有反对称性

通过使用Wannier函数的线性组合来计算不具有反对称性的一维光子晶体的局域模。Bloch函数的阶段给出了一个封闭形式，导致最大程度地局部化了Wannier函数。缺陷包括改变单个晶胞中一层的折射率。发现局部模式的频率和磁场分布的结果与基于传递矩阵法的计算非常吻合。讨论了对最大局部Wannier函数的需求。