Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides
Abstract
In this work, we present a detailed study of the dynamics and stability of fundamental spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse profile of the linear refractive index. Pulsed beam propagation in these structures can be described by using a Gross-Pitaevskii equation with a two-dimensional parabolic spatial potential. Our investigations are based on comparing variational approaches, based on the Ritz optimization method, with extensive numerical simulations. We found that, with a Kerr self-focusing nonlinearity, spatiotemporal solitons are stable for low pulse energies, where our analytical results find a perfect agreement with the numerical simulations. However, solitons with progressively increasing energies eventually undergo wave collapse, which is not predicted within the variational framework. In a self-defocusing scenario, again for low energies there is good agreement between the variational predictions and simulations. Whereas, for large soliton energies complex spatiotemporal dynamics emerge.
Cite
@article{arxiv.2304.09005,
title = {Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides},
author = {Pedro Parra-Rivas and Yifan Sun and Stefan Wabnitz},
journal= {arXiv preprint arXiv:2304.09005},
year = {2023}
}