Strong transmission and reflection of edge modes in bounded photonic graphene
Abstract
The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around sharp corners when the dispersion relation is topologically nontrivial (trivial), and can also remain stationary. An asymptotic theory is developed that establishes the presence (absence) of edge states on all four sides, including in particular armchair edge states, in the topologically nontrivial (trivial) case. In the presence of topological protection, nonlinear edge solitons can persist over very long distances.
Keywords
Cite
@article{arxiv.1506.04708,
title = {Strong transmission and reflection of edge modes in bounded photonic graphene},
author = {Mark J. Ablowitz and Yi-Ping Ma},
journal= {arXiv preprint arXiv:1506.04708},
year = {2023}
}
Comments
5 pages, 4 figures. Minor updates on the presentation and interpretation of results. The movies showing transmission and reflection of linear edge modes are available at https://www.youtube.com/watch?v=XhaZZlkMadQ and https://www.youtube.com/watch?v=R8NOw0NvRu0