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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]
Copyright of Optics Communications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 171585156
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  Data: Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides.
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  Data: <searchLink fieldCode="AR" term="%22Parra-Rivas%2C+Pedro%22">Parra-Rivas, Pedro</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> pedro.parra-rivas@uniroma1.it</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Yifan%22">Sun, Yifan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> yifan.sun@uniroma1.it</i><br /><searchLink fieldCode="AR" term="%22Wabnitz%2C+Stefan%22">Wabnitz, Stefan</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Optics+Communications%22">Optics Communications</searchLink>. Nov2023, Vol. 546, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Multimode+waveguides%22">Multimode waveguides</searchLink><br /><searchLink fieldCode="DE" term="%22Ritz+method%22">Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Gross-Pitaevskii+equations%22">Gross-Pitaevskii equations</searchLink><br /><searchLink fieldCode="DE" term="%22Refractive+index%22">Refractive index</searchLink><br /><searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Waveguides%22">Waveguides</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Optics Communications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.optcom.2023.129749
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Multimode waveguides
        Type: general
      – SubjectFull: Ritz method
        Type: general
      – SubjectFull: Gross-Pitaevskii equations
        Type: general
      – SubjectFull: Refractive index
        Type: general
      – SubjectFull: Solitons
        Type: general
      – SubjectFull: Waveguides
        Type: general
      – SubjectFull: Computer simulation
        Type: general
    Titles:
      – TitleFull: Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides.
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            NameFull: Parra-Rivas, Pedro
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            NameFull: Sun, Yifan
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            NameFull: Wabnitz, Stefan
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          Dates:
            – D: 01
              M: 11
              Text: Nov2023
              Type: published
              Y: 2023
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              Value: 546
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            – TitleFull: Optics Communications
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