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Discrete reduced-symmetry solitons and second-band vortices in two-dimensional nonlinear waveguide arrays
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-6708-1560
Australian National University.
Australian National University.
2009 (English)In: PHYSICAL REVIEW E, ISSN 1539-3755, Vol. 80, no 4, 046604- p.Article in journal (Refereed) Published
Abstract [en]

Considering a two-dimensional lattice of weakly coupled waveguides, where each waveguide may carry two orthogonal modes of dipolar character, we present a nonlinear discrete vector model for the study of Kerr optical solitons with profiles having a reduced symmetry relative to the underlying lattice. We describe analytically and numerically existence and stability properties of such states in square and triangular lattices and also reveal directional mobility properties of two-dimensional gap solitons which were recently observed in experiment. The model also describes one-site peaked discrete vortices corresponding to experimentally observed "second-band" vortex lattice solitons, for which oscillatory instabilities are predicted. We also introduce a concept of "rotational Peierls-Nabarro barrier" characterizing the minimum energy needed for rotation of stable dipole modes and compare numerically translational and rotational energy barriers in regimes of good mobility.

Place, publisher, year, edition, pages
2009. Vol. 80, no 4, 046604- p.
Keyword [en]
optical Kerr effect, optical solitons, optical vortices, optical waveguide theory
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-51767DOI: 10.1103/PhysRevE.80.046604OAI: oai:DiVA.org:liu-51767DiVA: diva2:277363
Available from: 2009-11-17 Created: 2009-11-17 Last updated: 2014-01-13

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Johansson, Magnus

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