We investigate the modulation instability (MI) in asymmetric triple-core photonic crystal fibers (ATPCFs) having equilateral-triangle configuration with two identical cores. The asymmetric cores are submitted to symmetric CW propagation. The study aims to look for the contribution of the third order dispersion (TOD) and some higher order nonlinear terms as self-steepening and Raman scattering terms on MI spectra. We study the influence of these terms on MI spectra for both normal and anomalous group velocity dispersion regimes. Comparing the three contributions, it comes that MI gain acquires significant values due to the effect of the TOD and the Raman scattering. However, the contribution of the self-steepening term is not to neglect. The MI gain remains unpredictable while varying the TOD or the self-steepening coefficients. Meantime, the MI gain appears to be proportional to the Raman scattering coefficient. The regime of dispersion (normal or anomalous) impacts the maximum MI gain value but does not impact the shape of the spectra.

ATPCF, modulation instability.

Received: November 18, 2020; Revised: January 9, 2021; Accepted: March 15, 2021; Published: June 15, 2021

How to cite this article: Roger Bertin Djob, Modulation instability in an asymmetric triple-core photonic crystal fiber with higher order dispersion and higher order nonlinear effects, Far East Journal of Applied Mathematics 110(1) (2021), 1-18. DOI: 10.17654/AM110010001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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