1 August 2007 Three-dimensional spinning solitons in quasi-two-dimensional optical lattices
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Proceedings Volume 6785, ROMOPTO 2006: Eighth Conference on Optics; 678510 (2007) https://doi.org/10.1117/12.757861
Event: ROMOPTO 2006: Eighth Conference on Optics, 2006, Sibiu, Romania
We consider the three-dimensional (3D) Gross-Pitaevskii/nonlinear Schrodinger equation with a quasi-2D square-lattice potential, which corresponds to the optical lattice trapping a self-attractive Bose-Einstein condensate (BEC), or to a photonic-crystal fiber, in terms of nonlinear optics. Stable 3D solitons, with embedded vorticity S = 1 and 2, are found by means of the variational approximation and in a numerical form. They are built, basically, as sets of four fundamental solitons forming a rhombus, with phase shifts πS/2 between adjacent sites, and an empty site in the middle. The results provide for the first examples of stable 3D vortex solitons ("spinning light bullets", in terms of optics) with S > 1, and the first ever examples of vortex solitons (with any S ≠ 0) supported by a lattice in the 3D space. Typical scenarios of instability development (collapse or decay) of unstable localized vortices are identified too.
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Hervé Leblond, Hervé Leblond, Boris A. Malomed, Boris A. Malomed, Dumitru Mihalache, Dumitru Mihalache, } "Three-dimensional spinning solitons in quasi-two-dimensional optical lattices", Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 678510 (1 August 2007); doi: 10.1117/12.757861; https://doi.org/10.1117/12.757861

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