Linear and nonlinear traveling edge waves in optical honeycomb lattices

Ablowitz, Mark, Curtis, Christopher and Ma, Yi-Ping (2014) Linear and nonlinear traveling edge waves in optical honeycomb lattices. Physical Review A, 90 (2). 023813. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.90.023813

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.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Yi-Ping Ma
Date Deposited: 22 Nov 2016 14:04
Last Modified: 17 May 2017 17:20
URI: http://nrl.northumbria.ac.uk/id/eprint/28407

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