Spatiotemporal solitons in dispersion-managed multimode fibers

We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the transverse plane in combination with the cubic self-focusing. The DM map is adopted in the form of alternating segments with anomalous and normal group-velocity dispersion. Previously, temporal DM solitons were studied in detail in single-mode fibers, and some solutions for 2D spatiotemporal 'light bullets', stabilized by DM, were found in the model of a planar waveguide. By means of numerical methods, we demonstrate that stability of the 3D spatiotemporal solitons is determined by the usual DM-strength parameter, S: they are quasi-stable at SS-0

Automated summary

This study focuses on dispersion management (DM) scheme for three-dimensional solitons in multimode optical fibers and examines the collisions between these solitons. The stability of solitons is shown to be determined by the DM strength parameter, and stable vortex solitons are constructed. Additionally, collisions between solitons in both axial and transverse directions are considered, with quasi-elastic interactions observed.