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arXiv · 2304.09005

Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides

Pedro Parra-Rivas·Yifan Sun·Stefan Wabnitz
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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.

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Pedro Parra-Rivas, Yifan Sun, Stefan Wabnitz. 2023-04-18. Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides. https://doi.org/10.1016/j.optcom.2023.129749

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