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Global and localised temporal structures in driven ring quantum cascade lasers

Author

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  • Prati, F.
  • Lugiato, L.A.
  • Gatti, A.
  • Columbo, L.
  • Silvestri, C.
  • Gioannini, M.
  • Brambilla, M.
  • Piccardo, M.
  • Capasso, F.

Abstract

Starting from a full set of effective Maxwell-Bloch equations for a ring quantum cascade laser in the limit of fast material dynamics we derive a new set of equations which require a considerably lower numerical load because they evolve on the time scale of the electric field. With the further assumption of laser very close to threshold the equations take the form of the generalised Lugiato-Lefever equation. Using the latter, we study the formation and stability of multi-peaked localised structures which can be regarded as portions of a global pattern and exhibit a snaking structure.

Suggested Citation

  • Prati, F. & Lugiato, L.A. & Gatti, A. & Columbo, L. & Silvestri, C. & Gioannini, M. & Brambilla, M. & Piccardo, M. & Capasso, F., 2021. "Global and localised temporal structures in driven ring quantum cascade lasers," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921008912
    DOI: 10.1016/j.chaos.2021.111537
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    References listed on IDEAS

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    1. Andreas Hugi & Gustavo Villares & Stéphane Blaser & H. C. Liu & Jérôme Faist, 2012. "Mid-infrared frequency comb based on a quantum cascade laser," Nature, Nature, vol. 492(7428), pages 229-233, December.
    2. Gustavo Villares & Andreas Hugi & Stéphane Blaser & Jérôme Faist, 2014. "Dual-comb spectroscopy based on quantum-cascade-laser frequency combs," Nature Communications, Nature, vol. 5(1), pages 1-9, December.
    3. P. Del’Haye & A. Schliesser & O. Arcizet & T. Wilken & R. Holzwarth & T. J. Kippenberg, 2007. "Optical frequency comb generation from a monolithic microresonator," Nature, Nature, vol. 450(7173), pages 1214-1217, December.
    4. Marco Piccardo & Benedikt Schwarz & Dmitry Kazakov & Maximilian Beiser & Nikola Opačak & Yongrui Wang & Shantanu Jha & Johannes Hillbrand & Michele Tamagnone & Wei Ting Chen & Alexander Y. Zhu & Loren, 2020. "Frequency combs induced by phase turbulence," Nature, Nature, vol. 582(7812), pages 360-364, June.
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    Cited by:

    1. Cao, Qi-Hao & Geng, Kai-Li & Zhu, Bo-Wei & Wang, Yue-Yue & Dai, Chao-Qing, 2023. "Scalar vortex solitons and vector dipole solitons in whispering gallery mode optical microresonators," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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