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Impact of higher-order nonlinear saturation effects on modulation instability in three-core oppositely directed coupler with two negative index material channels

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Abstract

In this paper, we intend to carry out a detail investigation on influence of higher-order effects on the modulation instability scenario in the three-core triangular (NIM-PIM-NIM) oppositely directed coupler. Upon arriving at the expression for instability gain employing linear stability analysis, particular attention is paid to reveal the impact of stimulated Raman effect and the self-frequency shift over the instability gain and the side band formation in both normal and anomalous instances. The study brings out a novel result that a regime of instability gain still exists in normal group-velocity dispersion even though the modulational frequency (\(\Omega\)) is zero. However, the benefits in instability at \(\Omega\) = 0 are zero when the dispersion is anomalous. The self-frequency shift, stimulated Raman effect, and saturable nonlinearity exhibit novel effects of introducing new side lobes and merging the existing side bands paving technique to generate solitary wave/solitons or very brief pulses.

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Acknowledgements

PM expresses gratitude to the UGC for the financial support under the RGNF initiative. One of the authors, RS, would like to recognise DST in part for the FIST money provided by order SR/FST/PSII-021/2009 dated 13 August 2010. Using this money, a straightforward computer cluster facility was constructed. This essay was created with Prof. K. Porsezian’s love and support in memory of one of the co-authors who passed away recently.

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Authors and Affiliations

  1. Department of Physics, Vel Tech Rangarajan Dr. Sagunthala R and D Institute of Science and Technology, Chennai, 600062, India

    P. Mohanraj & Jayaprakash Kaliyamurthy

  2. Department of Physics, Pondicherry University, Puducherry, 605014, India

    R. Sivakumar

  3. Fatima College, Department of Physics, Madurai, Tamil Nadu, 625001, India

    Ancemma Joseph

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  1. P. Mohanraj
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Mohanraj, P., Sivakumar, R., Joseph, A. et al. Impact of higher-order nonlinear saturation effects on modulation instability in three-core oppositely directed coupler with two negative index material channels. Eur. Phys. J. Plus 138, 351 (2023). https://doi.org/10.1140/epjp/s13360-023-03960-z

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