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Phys. Rev. E 71, 016616 (2005) [6 pages]

Multicolor vortex solitons in two-dimensional photonic lattices

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Zhiyong Xu1, Yaroslav V. Kartashov1,2, Lucian-Cornel Crasovan1,3, Dumitru Mihalache3, and Lluis Torner1
1ICFO-Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain
2Physics Department, M. V. Lomonosov Moscow State University, 119899 Moscow, Russia
3Institute of Atomic Physics, Department of Theoretical Physics, P.O. Box MG-6, Bucharest, Romania

Received 7 September 2004; published 27 January 2005

We report on the existence and stability of multicolor lattice vortex solitons constituted by coupled fundamental frequency and second-harmonic waves in optical lattices in quadratic nonlinear media. It is shown that the solitons are stable almost in the entire domain of their existence, and that the instability domain decreases with the increase of the lattice depth. We also show the generation of the solitons, and the feasibility of the concept of lattice soliton algebra.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.016616
DOI:
10.1103/PhysRevE.71.016616
PACS:
42.65.Tg, 42.65.Wi, 42.79.Gn