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arXiv · 1105.5769

Spatiotemporal vortex solitons in hexagonal arrays of waveguides

H. Leblond·B. A. Malomed·D. Mihalache
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Abstract

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 semi-discrete 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 BEC.

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H. Leblond, B. A. Malomed, D. Mihalache. 2011-05-29. Spatiotemporal vortex solitons in hexagonal arrays of waveguides. https://doi.org/10.1103/physreva.83.063825

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