IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v153y2021ip1s0960077921008912.html
   My bibliography  Save this article

Global and localised temporal structures in driven ring quantum cascade lasers

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921008912
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111537?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qiang Wang & Zhen Wang & Hui Zhang & Shoulin Jiang & Yingying Wang & Wei Jin & Wei Ren, 2022. "Dual-comb photothermal spectroscopy," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Borislav Hinkov & Florian Pilat & Laurin Lux & Patricia L. Souza & Mauro David & Andreas Schwaighofer & Daniela Ristanić & Benedikt Schwarz & Hermann Detz & Aaron M. Andrews & Bernhard Lendl & Gottfri, 2022. "A mid-infrared lab-on-a-chip for dynamic reaction monitoring," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    3. Dmitry Kazakov & Theodore P. Letsou & Maximilian Beiser & Yiyang Zhi & Nikola Opačak & Marco Piccardo & Benedikt Schwarz & Federico Capasso, 2024. "Active mid-infrared ring resonators," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    4. Wenting Wang & Ping-Keng Lu & Abhinav Kumar Vinod & Deniz Turan & James F. McMillan & Hao Liu & Mingbin Yu & Dim-Lee Kwong & Mona Jarrahi & Chee Wei Wong, 2022. "Coherent terahertz radiation with 2.8-octave tunability through chip-scale photomixed microresonator optical parametric oscillation," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    5. Chengying Bao & Zhiquan Yuan & Lue Wu & Myoung-Gyun Suh & Heming Wang & Qiang Lin & Kerry J. Vahala, 2021. "Architecture for microcomb-based GHz-mid-infrared dual-comb spectroscopy," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    6. Xingwei Gao & Hao He & Scott Sobolewski & Alexander Cerjan & Chia Wei Hsu, 2024. "Dynamic gain and frequency comb formation in exceptional-point lasers," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    7. Fiki Taufik Akbar & Bobby Eka Gunara & Hadi Susanto, 2020. "Justification of the Lugiato-Lefever Model from a Damped Driven ϕ 4 Equation," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    8. Dingding Ren & Chao Dong & Sadhvikas J. Addamane & David Burghoff, 2022. "High-quality microresonators in the longwave infrared based on native germanium," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    9. Carolin P. Bauer & Zofia A. Bejm & Michelle K. Bollier & Justinas Pupeikis & Benjamin Willenberg & Ursula Keller & Christopher R. Phillips, 2024. "High-sensitivity dual-comb and cross-comb spectroscopy across the infrared using a widely tunable and free-running optical parametric oscillator," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    10. Wang, Xin & Huang, Kai-Wei & Qiu, Qing-Yang & Xiong, Hao, 2023. "Nonreciprocal double-carrier frequency combs in cavity magnonics," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    11. 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).
    12. Mingchen Liu & Robert M. Gray & Luis Costa & Charles R. Markus & Arkadev Roy & Alireza Marandi, 2023. "Mid-infrared cross-comb spectroscopy," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921008912. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.