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Dynamical behavior and modulation instability of optical solitons in nonlinear directional couplers

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Abstract

In this paper, we focus on the dynamical behavior and modulation instability of optical solitons in nonlinear directional couplers. The expressions of single soliton solutions are derived, and the hyperbolic secant-type pulse is used to excite the input channel. We discuss the dynamical behavior of single optical soliton in traditional directional and negative index material couplers with varying self-phase modulation. Subsequently, based on the linear stability analysis, the distribution of modulation instability gain is studied, and the effect of dispersion, nonlinearity and input power on modulation instability gain is given. It is worth noting that the physical information neural network algorithm performs well in simulating the transmission of an optical pulse in the coupler and leading to some novel optical waves. The results are helpful in understanding the generation of soliton-like excitation and lay a foundation for exploring novel optical soliton in nonlinear directional couplers.

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Acknowledgements

The authors would like to express their thanks to the unknown referees for their careful reading and helpful comments.

Funding

This work is supported by the National Natural Science Foundation of China under Grant No. 12275017.

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Authors and Affiliations

  1. School of Computer and Communication Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Fei-Fei Liu & Jian-Ping Wang

  2. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China

    Xing Lü

  3. Department of Mathematics and Statistics, University of Calgary, Calgary, T2N1N4, Canada

    Yi-Cheng Wu

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  1. Fei-Fei Liu
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Liu, FF., Lü, X., Wang, JP. et al. Dynamical behavior and modulation instability of optical solitons in nonlinear directional couplers. Nonlinear Dyn 111, 10441–10458 (2023). https://doi.org/10.1007/s11071-023-08396-9

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