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.
Physics Department, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland.
M
M
Matuszewski
M
M
Trippenbach
B A
BA
Malomed
E
E
Infeld
A A
AA
Skorupski