Spatiotemporal vortex solitons in hexagonal arrays of waveguides

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.063825· OSTI ID:21550206

Leblond, Herve ^[1]; Malomed, Boris A ^[2]; Mihalache, Dumitru ^[3]

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1. Laboratoire de Photonique d'Angers, EA 4464, Universite d'Angers, 2 Bd Lavoisier, F-49000 Angers (France)
2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IS-69978 (Israel)
3. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest, R-077125 (Romania)

By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semidiscrete complexes (which are continuous in the longitudinal direction) with embedded vorticity S: triangular modes with S=1, hexagonal ones with S=2, both centered around an empty central core, and compact triangles with S=1, which do not not include the empty site. Collisions between stable triangular vortices are studied too. These waveguiding lattices can be realized in optics and Bose-Einstein condensate.

• OSTI ID: 21550206
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
COLLISIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
HEXAGONAL LATTICES
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
OPTICS
QUASI PARTICLES
SOLITONS
VORTICES
WAVEGUIDES