TY - JOUR
T1 - Stabilization of three-dimensional light bullets by a transverse lattice in a Kerr medium with dispersion management
AU - Matuszewski, Michał
AU - Infeld, Eryk
AU - Malomed, Boris A.
AU - Trippenbach, Marek
N1 - Funding Information:
M.M., and E.I. acknowledge support from KBN Grant No. 2P03 B4325. B.A.M. acknowledges the hospitality of the Physics Department and Soltan Institute for Nuclear Studies Warsaw, and partial support from the Israel Science Foundation, through Grant No. 8006/03. This author also appreciates the help of A. Desyatnikov in making [23] available on the internet. M.T. was supported by the Polish Ministry of Science and Information Technology, PBZ MIN-008/P03/2003.
PY - 2006/3/1
Y1 - 2006/3/1
N2 - We demonstrate a possibility to stabilize three-dimensional spatiotemporal solitons ("light bullets") in self-focusing Kerr media by means of a combination of dispersion management in the longitudinal direction (with the group-velocity dispersion alternating between positive and negative values) and periodic modulation of the refractive index in one transverse direction (out of the two). Assuming the usual model based on the paraxial nonlinear Schrödinger equation for the local amplitude of the electromagnetic field, the analysis relies upon the variational approximation (results of direct three-dimensional simulations will be reported in a follow-up). A predicted stability area is identified in the model's parameter space. It features a minimum of the necessary strength of the transverse modulation of the refractive index, and finite minimum and maximum values of the soliton's energy. The former feature is also explained analytically.
AB - We demonstrate a possibility to stabilize three-dimensional spatiotemporal solitons ("light bullets") in self-focusing Kerr media by means of a combination of dispersion management in the longitudinal direction (with the group-velocity dispersion alternating between positive and negative values) and periodic modulation of the refractive index in one transverse direction (out of the two). Assuming the usual model based on the paraxial nonlinear Schrödinger equation for the local amplitude of the electromagnetic field, the analysis relies upon the variational approximation (results of direct three-dimensional simulations will be reported in a follow-up). A predicted stability area is identified in the model's parameter space. It features a minimum of the necessary strength of the transverse modulation of the refractive index, and finite minimum and maximum values of the soliton's energy. The former feature is also explained analytically.
KW - Dispersion management
KW - Light bullets
KW - Solitons
UR - http://www.scopus.com/inward/record.url?scp=30744436847&partnerID=8YFLogxK
U2 - 10.1016/j.optcom.2005.08.013
DO - 10.1016/j.optcom.2005.08.013
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AN - SCOPUS:30744436847
VL - 259
SP - 49
EP - 54
JO - Optics Communications
JF - Optics Communications
SN - 0030-4018
IS - 1
ER -