https://doi.org/10.1140/epjb/s10051-023-00577-0
Regular Article - Statistical and Nonlinear Physics
The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media
1
Department of Physics, Mody University of Science and Technology, Lakshmangarh, 332311, Sikar, Rajasthan, India
2
School of Physics and Materials Science, Thapar Institute of Engineering and Technology, 147004, Patiala, Punjab, India
Received:
12
May
2023
Accepted:
27
July
2023
Published online:
11
August
2023
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.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjb/s10051-023-00577-0.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
