2022/05/18 by Habib Ammari, Jinghao Cao, Ammari, Habib +1 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #35C20 #35J05 #35P20 #74J20 #Advanced Antenna and Metasurface Technologies #Analysis of PDEs (math.AP) #Applied Physics (physics.app-ph) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.2205.10317
openalex publication_date 2022/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.