Linear and nonlinear traveling edge waves in optical honeycomb lattices

Mark Ablowitz, Christopher Curtis, Yi-Ping Ma

Research output: Contribution to journalArticlepeer-review

99 Citations (Scopus)
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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
Issue number2
Publication statusPublished - 11 Aug 2014
Externally publishedYes


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