Linear and nonlinear traveling edge waves in optical honeycomb lattices

Mark Ablowitz, Christopher Curtis, Yi-Ping Ma

Research output: Contribution to journalArticlepeer-review

112 Citations (Scopus)
14 Downloads (Pure)

Abstract

Traveling unidirectional localized edge states in optical honeycomb lattices are analytically constructed. They are found in honeycomb arrays of helical waveguides designed to induce a periodic pseudomagnetic field varying in the direction of propagation. Conditions on whether a given pseudofield supports a traveling edge mode are discussed; a special case of the pseudofields studied agrees with recent experiments. Interesting classes of dispersion relations are obtained. Envelopes of nonlinear edge modes are described by the classical one-dimensional nonlinear Schrödinger equation along the edge. Nonlinear states termed edge solitons are predicted analytically and are found numerically.
Original languageEnglish
Pages (from-to)023813
JournalPhysical Review A
Volume90
Issue number2
DOIs
Publication statusPublished - 11 Aug 2014
Externally publishedYes

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