Strong transmission and reflection of edge modes in bounded photonic graphene

Ablowitz, Mark and Ma, Yi-Ping (2015) Strong transmission and reflection of edge modes in bounded photonic graphene. Optics Letters, 40 (20). p. 4635. ISSN 0146-9592

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Official URL: http://dx.doi.org/10.1364/OL.40.004635

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.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Yi-Ping Ma
Date Deposited: 22 Nov 2016 10:09
Last Modified: 09 May 2017 06:14
URI: http://nrl.northumbria.ac.uk/id/eprint/28405

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