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Dark gap solitons in one-dimensional nonlinear periodic media with fourth-order dispersion

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  • Li, Jiawei
  • Zhang, Yanpeng
  • Zeng, Jianhua

Abstract

The studies of solitons are usually confined to the models with normal two-order dispersion or diffraction; while recent theoretical predictions and experimental observations have confirmed the important role that the fourth-order dispersion played in, leading to the discovery of a new class of solitons—quartic solitons in fibers. We here theoretically consider the one-dimensional (1D) periodic nonlinear media with both second-order and fourth-order dispersions, and uncover numerically the existence, properties, and stabilities of dark gap solitons populated within the associated linear photonic band gaps. Such gaps, particularly, are affected drastically by normal or anomalous fourth-order dispersion; the dark gap solitons are always found to be unstable for the latter, and are robustly stable and have a wide stability region for the former case, verified by linear-stability analysis and direct perturbed simulations. The obtained results provide insights into physics of dark gap solitons in higher-order dispersion regime.

Suggested Citation

  • Li, Jiawei & Zhang, Yanpeng & Zeng, Jianhua, 2022. "Dark gap solitons in one-dimensional nonlinear periodic media with fourth-order dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001606
    DOI: 10.1016/j.chaos.2022.111950
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    References listed on IDEAS

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    1. D. Tanese & H. Flayac & D. Solnyshkov & A. Amo & A. Lematre & E. Galopin & R. Braive & P. Senellart & I. Sagnes & G. Malpuech & J. Bloch, 2013. "Correction: Corrigendum: Polariton condensation in solitonic gap states in a one-dimensional periodic potential," Nature Communications, Nature, vol. 4(1), pages 1-1, October.
    2. Andrea Blanco-Redondo & C. Martijn de Sterke & J.E. Sipe & Thomas F. Krauss & Benjamin J. Eggleton & Chad Husko, 2016. "Pure-quartic solitons," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
    3. Peng Wang & Yuanlin Zheng & Xianfeng Chen & Changming Huang & Yaroslav V. Kartashov & Lluis Torner & Vladimir V. Konotop & Fangwei Ye, 2020. "Localization and delocalization of light in photonic moiré lattices," Nature, Nature, vol. 577(7788), pages 42-46, January.
    4. Chen, Junbo & Zeng, Jianhua, 2021. "Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. D. Tanese & H. Flayac & D. Solnyshkov & A. Amo & A. Lemaître & E. Galopin & R. Braive & P. Senellart & I. Sagnes & G. Malpuech & J. Bloch, 2013. "Polariton condensation in solitonic gap states in a one-dimensional periodic potential," Nature Communications, Nature, vol. 4(1), pages 1-9, June.
    6. Alois Regensburger & Christoph Bersch & Mohammad-Ali Miri & Georgy Onishchukov & Demetrios N. Christodoulides & Ulf Peschel, 2012. "Parity–time synthetic photonic lattices," Nature, Nature, vol. 488(7410), pages 167-171, August.
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