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Solitons and vortices in honeycomb defocusing photonic lattices
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Law, K. J. H., Susanto, H. and Kevrekidis, P. (2008) Solitons and vortices in honeycomb defocusing photonic lattices. Physical Review A, Vol.78 (No.3). Article no.033802 . doi:10.1103/PhysRevA.78.033802 ISSN 1050-2947.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.78.033802
Abstract
Solitons and necklaces in the first band gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is shown that dipoles, soliton necklaces, and vortex necklaces exist and may possess regions of stable propagation through a photorefractive crystal. Most of the configurations disappear in bifurcations close to the upper edge of the first band. Solutions associated with such bifurcations are also numerically examined, and it is found that they are often asymmetric and more exotic. The dynamics of the relevant unstable structures are also examined through direct numerical simulations revealing either breathing oscillations or, in some cases, destruction of the original wave form.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review A | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1050-2947 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.78 | ||||
Number: | No.3 | ||||
Page Range: | Article no.033802 | ||||
DOI: | 10.1103/PhysRevA.78.033802 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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