Three-dimensional walking spatiotemporal solitons in quadratic media
Two-parameter families of chirped stationary three-dimensional spatiotemporal solitons in dispersive quadratically nonlinear optical media featuring type-I second-harmonic generation are constructed in the presence of temporal walk-off. Basic features of these walking spatiotemporal solitons, including their dynamical stability, are investigated in the general case of unequal group-velocity dispersions at the fundamental and second-harmonic frequencies. In the cases when the solitons are unstable, the growth rate of a dominant perturbation eigenmode is found as a function of the soliton wave number shift. The findings are in full agreement with the stability predictions made on the basis of a marginal linear-stability curve. It is found that the walking three-dimensional spatiotemporal solitons are dynamically stable in most cases; hence in principle they may be experimentally generated in quadratically nonlinear media.
Mihalache
D
Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, D-07743, Germany and Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Institute of.
Mazilu
D
Crasovan
LC
Torner
L
Malomed
BA
Lederer
F