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The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media

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  • Manoj Mishra

    (Mody University of Science and Technology)

  • Kirti Meena

    (Mody University of Science and Technology)

  • Divya Yadav

    (Mody University of Science and Technology)

  • Brajraj Singh

    (Mody University of Science and Technology)

  • Soumendu Jana

    (Thapar Institute of Engineering and Technology)

Abstract

We present a rigorous investigation of the dynamics of Gaussian beams in nonlocal nonlinear media with varying degrees of nonlocality. The study includes a stability analysis and modulational instability. The system is represented by the nonlocal nonlinear Schrödinger equation and studied using the Lagrangian variational method and split-step Fourier method. We reveal that as nonlocality increases, the potential well becomes narrower, the soliton oscillation amplitude decreases, and the frequency of soliton oscillation increases. Additionally, we conduct a linear stability analysis and define a stable soliton propagation parametric space. At higher degrees of nonlocality, stable solitons are more resistant to small perturbations, and modulational instability is eliminated. These findings may have practical applications in switching applications and the development of corresponding all-optical devices. Graphic Abstract

Suggested Citation

  • Manoj Mishra & Kirti Meena & Divya Yadav & Brajraj Singh & Soumendu Jana, 2023. "The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-13, August.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:8:d:10.1140_epjb_s10051-023-00577-0
    DOI: 10.1140/epjb/s10051-023-00577-0
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    References listed on IDEAS

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    1. Triki, Houria & Kruglov, Vladimir I., 2021. "Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. Marco Peccianti & Claudio Conti & Gaetano Assanto & Antonio De Luca & Cesare Umeton, 2004. "Routing of anisotropic spatial solitons and modulational instability in liquid crystals," Nature, Nature, vol. 432(7018), pages 733-737, December.
    3. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
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