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Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides.

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Title: Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides.
Authors: Parra-Rivas, Pedro1 (AUTHOR) pedro.parra-rivas@uniroma1.it, Sun, Yifan1 (AUTHOR) yifan.sun@uniroma1.it, Wabnitz, Stefan1 (AUTHOR)
Source: Optics Communications. Nov2023, Vol. 546, pN.PAG-N.PAG. 1p.
Subjects: Multimode waveguides, Ritz method, Gross-Pitaevskii equations, Refractive index, Solitons, Waveguides, Computer simulation
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 compare 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, with progressively increasing energies, solitons eventually undergo wave collapse: this occurs below the theoretical limit, which is predicted within the variational approach. In a self-defocusing scenario, a similar trend is found, where the good agreement persists for low energies. For large soliton energies, however, complex spatiotemporal dynamics emerge. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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 compare 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, with progressively increasing energies, solitons eventually undergo wave collapse: this occurs below the theoretical limit, which is predicted within the variational approach. In a self-defocusing scenario, a similar trend is found, where the good agreement persists for low energies. For large soliton energies, however, complex spatiotemporal dynamics emerge. [ABSTRACT FROM AUTHOR]
ISSN:00304018
DOI:10.1016/j.optcom.2023.129749