TY - JOUR
T1 - Two-dimensional dispersion-managed light bullets in Kerr media
AU - Matuszewski, M.
AU - Trippenbach, M.
AU - Malomed, B. A.
AU - Infeld, E.
AU - Skorupski, A. A.
N1 - Funding Information:
The authors acknowledge support from KBN through Grant No. 2P03 B4325 (M.M., M.T., E.I.). B.A.M. acknowledges the hospitality of the Physics Department and Soltan Institute for Nuclear Studies at Warsaw University, and partial support from the Israel Science Foundation through Grant No. 8006∕03.
PY - 2004/7
Y1 - 2004/7
N2 - We propose a scheme for stabilizing spatiotemporal solitons (STSs) in media with cubic self-focusing nonlinearity and “dispersion management”, i.e., a layered structure inducing periodically alternating normal and anomalous group-velocity dispersion. We develop a variational approximation for the STS, and verify results by direct simulations. A stability region for the two-dimensional (2D) STS (corresponding to a planar waveguide) is identified. At the borders between this region and that of decay of the solitons, a more sophisticated stable object, in the form of a periodically oscillating bound state of two subpulses, is also found. In the 3D case (bulk medium), all the spatiotemporal pulses spread out or collapse.
AB - We propose a scheme for stabilizing spatiotemporal solitons (STSs) in media with cubic self-focusing nonlinearity and “dispersion management”, i.e., a layered structure inducing periodically alternating normal and anomalous group-velocity dispersion. We develop a variational approximation for the STS, and verify results by direct simulations. A stability region for the two-dimensional (2D) STS (corresponding to a planar waveguide) is identified. At the borders between this region and that of decay of the solitons, a more sophisticated stable object, in the form of a periodically oscillating bound state of two subpulses, is also found. In the 3D case (bulk medium), all the spatiotemporal pulses spread out or collapse.
UR - http://www.scopus.com/inward/record.url?scp=42749105294&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.70.016603
DO - 10.1103/PhysRevE.70.016603
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C2 - 15324185
AN - SCOPUS:42749105294
SN - 1063-651X
VL - 70
SP - 016603-1-016603-6
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 1
M1 - 016603
ER -