Strong transmission and reflection of edge modes in bounded photonic graphene

Mark Ablowitz, Yi-Ping Ma

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)
4 Downloads (Pure)

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). An asymptotic theory is developed that establishes the presence (absence) of typical edge states, including, in particular, armchair and zigzag edge states in the topologically nontrivial (trivial) case. In the presence of topological protection, nonlinear edge solitons can persist over very long distances.
Original languageEnglish
Pages (from-to)4635
JournalOptics Letters
Volume40
Issue number20
DOIs
Publication statusPublished - 7 Oct 2015

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