具有非对称单胞和一般群对称性的周期性粒子阵列中的平面单向导引
Planar One-way Guiding in Periodic Particle Arrays with Asymmetric Unit Cell and General Group-Symmetry Considerations
摘要：
我们发展了磁化周期性粒子阵列中单向光导的一般理论。在Frieze群的背景下，导出了非均匀色散曲线的必要条件。它示出，例如，单向引导可以支持在粒子\emph{strips}组成的几何各向同性粒子排列在横向不对称的阵列。具体的例子包括：两个平行的各向同性的具有不同周期的颗粒链。先前研究的基于两型旋转原理的单向效应被证明是一种特殊情况。在后者中，通过将几何旋转与每个粒子相关联，在单个线性链中实现了适当的弗里兹对称性的排除，从而提供了最大可能的单向波导。它还表明，几乎任何随机创建的周期可能会导致不均匀的色散和单向引导。
英文摘要：
We develop a general theory for one-way optical guiding in magnetized periodic particle arrays. Necessary conditions for a non-even dispersion curves are derived and presented in the context of Frieze symmetry-groups. It is shown, for example, that one-way guiding can be supported in particle \emph{strips} consisting of geometrically isotropic particles arranged in transversely asymmetric arrays. Specific examples consist e.g.~two parallel isotropic particle chains with different periods. The previously studied one-way effect based on the two-type rotation principle is shown to be a special case. In the latter the exclusion of the appropriate Frieze-symmetries is achieved in a single linear chain by associating a geometric rotation to each particle, thus providing the narrowest possible one-way waveguides. It is also shown that nearly any randomly created period may result in uneven dispersion and one-way guiding.
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