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Asymmetric impact of higher order diffraction on narrow beam dynamics in nonlocal nonlinear media

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Abstract

The present communication presents the asymmetric impact of different higher-order diffractions on the propagation dynamics, stability analysis, and modulation instability of a narrow Gaussian beam in a nonlocal nonlinear medium. The system equation, which is a nonlocal nonlinear Schrödinger equation, has been solved analytically by the Lagrange variational method as well as numerically using the split-step-Fourier method. The effect of higher order diffraction on beam propagation parameters, critical energy of soliton formation, and potential energy of the system has been highlighted. Linear stability analysis of the system’s governing equation has been performed to identify the parametric space for various classes of equilibrium points against small perturbations. Subsequently, the modulation instability has been investigated and the effect of higher order diffraction has been highlighted.

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Acknowledgements

The authors are thankful to Prof S. Konar for his valuable 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 and 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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Authors and Affiliations

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

    Manoj Mishra, Sandeep Kumar Kajala & Mohit Sharma

  2. P G Department of Physics, Patliputra University, Patna, Bihar, 800020, India

    S. Shwetanshumala

  3. 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, and computation. SKK & MS: equation solving and program execution. SS: calculation and computation. SJ: problem formulation and article writing.

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Mishra, M., Kajala, S.K., Shwetanshumala, S. et al. Asymmetric impact of higher order diffraction on narrow beam dynamics in nonlocal nonlinear media. Appl. Phys. B 129, 194 (2023). https://doi.org/10.1007/s00340-023-08137-1

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