Spatiotemporal vortex solitons in hexagonal arrays of waveguides

Hervé Leblond, Boris A. Malomed, Dumitru Mihalache

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number063825
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 20 Jun 2011


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