TY - JOUR
T1 - Fusion of necklace-ring patterns into vortex and fundamental solitons in dissipative media
AU - He, Y. J.
AU - Malomed, Boris A.
AU - Wang, H. Z.
PY - 2007/12/24
Y1 - 2007/12/24
N2 - We demonstrate that necklace-shaped arrays ofTocalized 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 |N-M|. Threshold characteristics of the fusion are found and explained too. If the initial radius of the array (R0) is too large, it simply keeps the necklace shape (if R0 is somewhat smaller, the necklace features a partial fusion), while, if R0 is too small, the array disappears.
AB - We demonstrate that necklace-shaped arrays ofTocalized 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 |N-M|. Threshold characteristics of the fusion are found and explained too. If the initial radius of the array (R0) is too large, it simply keeps the necklace shape (if R0 is somewhat smaller, the necklace features a partial fusion), while, if R0 is too small, the array disappears.
UR - https://www.scopus.com/pages/publications/37549017761
U2 - 10.1364/OE.15.017502
DO - 10.1364/OE.15.017502
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:37549017761
SN - 1094-4087
VL - 15
SP - 17502
EP - 17508
JO - Optics Express
JF - Optics Express
IS - 26
ER -