IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v176y2023ics0960077923010470.html
   My bibliography  Save this article

Annular rogue waves in whispering gallery mode optical resonators

Author

Listed:
  • Cao, Qi-Hao
  • Geng, Kai-Li
  • Zhu, Bo-Wei
  • Wang, Yue-Yue
  • Li, Ji-tao
  • Dai, Chao-Qing

Abstract

Based on the variable-coefficient Lugiato-Lefever equation, nonlinear dynamics of rogue waves in whispering gallery mode optical resonators are studied. By means of the analytical solution in the absence of pump, dynamical behaviors of the rogue waves in the periodic system are discussed. Firstly, the first-order rogue wave under the condition of no pumping has obvious periodic nature, and the periodicity of width and amplitude of rogue wave can be consistent by controlling the wavefront curvature, and the energy of rogue wave remains stable under the small gain parameter, and the inverse diffraction effect makes the center position of rogue wave produce a small offset. In addition, the amplitudes of second-order rogue waves have more complicated periodicity and longer period lengths both with the good stability. At last, the dynamical behaviors of rogue wave after adding external excitation are investigated. Under the periodical external excitation with the lower intensity, rogue wave can achieve a longer stable transmission time, while the smaller wavefront curvature can effectively prolong the stable transmission time of rogue wave. Moreover, we investigate the influence of different forms of external excitation on rogue wave, and the periodical external excitation makes rogue waves more stable than the constant external excitation. These results extend the application of higher-order rogue waves in (2 + 1)-dimensional nonlinear systems, and have implications for the development of high-energy optical pulses.

Suggested Citation

  • Cao, Qi-Hao & Geng, Kai-Li & Zhu, Bo-Wei & Wang, Yue-Yue & Li, Ji-tao & Dai, Chao-Qing, 2023. "Annular rogue waves in whispering gallery mode optical resonators," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
  • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010470
    DOI: 10.1016/j.chaos.2023.114146
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923010470
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.114146?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. Tlidi, M. & Gopalakrishnan, S.S. & Taki, M. & Panajotov, K., 2021. "Optical crystals and light-bullets in Kerr resonators," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Fang, Yin & Wu, Gang-Zhou & Kudryashov, Nikolay A. & Wang, Yue-Yue & Dai, Chao-Qing, 2022. "Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Zhong, WenYe & Qin, Pei & Zhong, Wei-Ping & Belić, Milivoj, 2022. "Two-dimensional rogue wave clusters in self-focusing Kerr-media," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    4. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, 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. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Liu, Yindi & Zhao, Zhonglong, 2024. "Periodic line wave, rogue waves and the interaction solutions of the (2+1)-dimensional integrable Kadomtsev–Petviashvili-based system," Chaos, Solitons & Fractals, Elsevier, vol. 183(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. Chen, Liang-Yuan & Wu, Hong-Yu & Jiang, Li-Hong, 2024. "Partially nonlocal ring-like spatiotemporal superimposed second-order breathers under a harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. Zhong, WenYe & Qin, Pei & Zhong, Wei-Ping & Belić, Milivoj, 2022. "Two-dimensional rogue wave clusters in self-focusing Kerr-media," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    5. Nikolay A. Kudryashov, 2023. "Hamiltonians of the Generalized Nonlinear Schrödinger Equations," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    6. Li, Liu-Qing & Gao, Yi-Tian & Yu, Xin & Ding, Cui-Cui & Wang, Dong, 2022. "Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 494-508.
    7. Zhang, Yu & Li, Chuanzhong & He, Jingsong, 2016. "Rogue waves in a resonant erbium-doped fiber system with higher-order effects," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 826-841.
    8. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    9. Fang, Yin & Zhu, Bo-Wei & Bo, Wen-Bo & Wang, Yue-Yue & Dai, Chao-Qing, 2023. "Data-driven prediction of spatial optical solitons in fractional diffraction," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    10. Xi-zhong Liu & Zhi-Mei Lou & Xian-Min Qian & Lamine Thiam, 2019. "A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation," Complexity, Hindawi, vol. 2019, pages 1-12, October.
    11. Alexandra Völkel & Luca Nimmesgern & Adam Mielnik-Pyszczorski & Timo Wirth & Georg Herink, 2022. "Intracavity Raman scattering couples soliton molecules with terahertz phonons," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    12. Wu, Gang-Zhou & Fang, Yin & Kudryashov, Nikolay A. & Wang, Yue-Yue & Dai, Chao-Qing, 2022. "Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    13. Zhang, Yi & Sun, YanBo & Xiang, Wen, 2015. "The rogue waves of the KP equation with self-consistent sources," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 204-213.
    14. Jiang, Yan & Qu, Qi-Xing, 2021. "Solitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 57-68.
    15. Bo Ren & Ji Lin & Zhi-Mei Lou, 2019. "A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions," Complexity, Hindawi, vol. 2019, pages 1-10, June.
    16. Wang, Haotian & Li, Xin & Zhou, Qin & Liu, Wenjun, 2023. "Dynamics and spectral analysis of optical rogue waves for a coupled nonlinear Schrödinger equation applicable to pulse propagation in isotropic media," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    17. Chen, Yi-Xiang, 2023. "Vector peregrine composites on the periodic background in spin–orbit coupled Spin-1 Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    18. Lou, Yu & Zhang, Yi, 2022. "Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 22-31.
    19. Xianguo Geng & Ruomeng Li, 2019. "On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation," Mathematics, MDPI, vol. 7(10), pages 1-23, October.
    20. Zhu, Yu & Yang, Jing & Zhang, Yutong & Qin, Wei & Wang, Shaohui & Li, Jitao, 2024. "Ring-like double-breathers in the partially nonlocal medium with different diffraction characteristics in both directions under the external potential," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

    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:176:y:2023:i:c:s0960077923010470. 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.