Unidirectional edge modes in time-modulated metamaterials
Analysis of PDEs
2022-05-23 v1 Applied Physics
Optics
Abstract
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.
Cite
@article{arxiv.2205.10317,
title = {Unidirectional edge modes in time-modulated metamaterials},
author = {Habib Ammari and Jinghao Cao},
journal= {arXiv preprint arXiv:2205.10317},
year = {2022}
}
Comments
25 pages, 11 figures