论文标题

时间调制的超材料中的单向边缘模式

Unidirectional edge modes in time-modulated metamaterials

论文作者

Ammari, Habib, Cao, Jinghao

论文摘要

我们证明了在时间调制超细胞结构中实现单向边缘模式的可能性。这种有限结构由两个定期重复的三个三聚体组成。由于它们的对称性,他们承认了堕落的边缘特征空间。当三个相反的方向对三聚体进行时间调节时,退化的特征空间将分析公式描述的两个一维本征空间分成两个,每种均值对应于一种位于结构的一个边缘的模式。我们关于这些边缘模式在时间调制幅度中波动方面的定位和稳定性的结果通过几个数值模拟说明。

We prove the possibility of achieving unidirectional edge modes in time-modulated supercell structures. Such finite structures consist of two trimers repeated periodically. Because of their symmetry, they admit degenerate edge eigenspaces. When the trimers are time-modulated with two opposite orientations, the degenerate eigenspace splits into two one-dimensional eigenspaces described by an analytical formula, each corresponds to a mode which is localized at one edge of the structure. Our results on the localization and stability of these edge modes with respect to fluctuations in the time-modulation amplitude are illustrated by several numerical simulations.

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