Journal
OPTICS EXPRESS
Volume 15, Issue 26, Pages 17502-17508Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.15.017502
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We demonstrate that necklace-shaped arrays of localized spatial beams can merge into stable fundamental or vortex solitons in a generic model of laser cavities, based on the two-dimensional complex Ginzburg-Landau equation with the cubic-quintic nonlinearity. The outcome of the fusion is controlled by the number of beads in the initial necklace, 2N, and its topological charge, M. We predict and confirm by systematic simulations that the vorticity of the emerging soliton is vertical bar N-M vertical bar. Threshold characteristics of the fusion are found and explained too. If the initial radius of the array (R-0) is too large, it simply keeps the necklace shape (if R-0 is somewhat smaller, the necklace features a partial fusion), while, if R-0 is too small, the array disappears. (C) 2007 Optical Society of America.
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