Two-dimensional dispersion-managed light bullets in Kerr media.
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.
Matuszewski
M
M
Physics Department, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland.
Trippenbach
M
M
Malomed
B A
BA
Infeld
E
E
Skorupski
A A
AA