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

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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.

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Acknowledgements

The authors are thankful to Prof. S. Konar for his suggestions.

Funding

The author MM is thankful to Mody University of Science & Technology for the seed money project grant (SM/2022-23/007). Soumendu Jana would like to acknowledge the financial support of the Science & Engineering Research Board (SERB), Govt. of India, through a core research grant (File Number: CRG/2019/005073) and TIET-VT Center of Excellence in Emerging Materials (CEEMS) through the U2R project.

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  1. Department of Physics, Mody University of Science and Technology, Lakshmangarh, Sikar, Rajasthan, 332311, India

    Manoj Mishra, Kirti Meena, Divya Yadav & Brajraj Singh

  2. School of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala, Punjab, 147004, India

    Soumendu Jana

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  1. Manoj Mishra
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MM: Problem formulation, calculation, Computation. KM &DY: Equation solving and program execution. BS: Calculation and Computation. SJ: Problem formulation and article writing.

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Correspondence to Soumendu Jana.

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Mishra, M., Meena, K., Yadav, D. et al. The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media. Eur. Phys. J. B 96, 109 (2023). https://doi.org/10.1140/epjb/s10051-023-00577-0

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