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Nonlinear and dispersive effects on dark soliton interaction in photonic crystal fiber

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Abstract

This paper presents a numerical framework in MATLAB for solving the generalized nonlinear Schrödinger equation (GNLSE) using adaptive algorithms and the split Fourier method. It simulates soliton-wave interactions in optical fibers, taking into account high-order dispersion (HOD), nonlinear mechanisms (such as SPM, Raman, and Brillion), and the effect of soliton initial divergence. The results show that the dispersion coefficients (β₂ and β₄) govern the stability and interactions of solitons, causing phenomena such as spectrum splitting and the formation of dispersive waves. Mechanisms for controlling soliton fusion/repulsion via initial separation and relative phase are also revealed, with typical accuracy < 0.1%. The framework offers a computational speedup of up to 10 times, supporting the design of optical communication systems, frequency combs, and pulse compressors. The model can be generalized to study quantum phase transitions and soliton interactions in multilayer photonic crystals, with potential extension for future algebraic modeling.

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  • Nonlinear Optics
  • Photonic Crystals
  • Photonics and Optical Engineering
  • Solitons
  • Topological effects in photonic systems
  • Waves, instabilities and nonlinear plasma dynamics

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All data generated or analyzed during this study are included in this published article.

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Acknowledgements

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. I also thank all my teachers, especially Professor Dr. Hassan Abdullah Sultan, for his effective contribution to presenting my work

Funding

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

  1. Department of Physics, College of Education, University of Misan, Misan, Iraq

    Mohammed Salim Jasim AL-Taie

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Mohammed Salim Jasim AL-Taie.

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Correspondence to Mohammed Salim Jasim AL-Taie.

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AL-Taie, M.S.J. Nonlinear and dispersive effects on dark soliton interaction in photonic crystal fiber. J Comput Electron 24, 135 (2025). https://doi.org/10.1007/s10825-025-02371-w

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  • DOI  https://doi.org/10.1007/s10825-025-02371-w

Keywords

  • Photonic crystal fibers
  • Dark soliton
  • Nonlinear effects
  • Dispersion
  • General nonlinear Schrodinger equation

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