TY - JOUR
T1 - Stable spatiotemporal solitons in bessel optical lattices
AU - Mihalache, D.
AU - Mazilu, D.
AU - Lederer, F.
AU - Malomed, B. A.
AU - Kartashov, Y. V.
AU - Crasovan, L. C.
AU - Torner, L.
PY - 2005/7/8
Y1 - 2005/7/8
N2 - We investigate the existence and stability of three-dimensional solitons supported by cylindrical Bessel lattices in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian versus norm diagram has a swallowtail shape with three cuspidal points. The model applies to Bose-Einstein condensates and to optical media with saturable nonlinearity, suggesting new ways of making stable three-dimensional solitons and "light bullets" of an arbitrary size.
AB - We investigate the existence and stability of three-dimensional solitons supported by cylindrical Bessel lattices in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian versus norm diagram has a swallowtail shape with three cuspidal points. The model applies to Bose-Einstein condensates and to optical media with saturable nonlinearity, suggesting new ways of making stable three-dimensional solitons and "light bullets" of an arbitrary size.
UR - http://www.scopus.com/inward/record.url?scp=27144515255&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.95.023902
DO - 10.1103/PhysRevLett.95.023902
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AN - SCOPUS:27144515255
VL - 95
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 2
M1 - 023902
ER -