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Optical similaritons in a tapered graded-index non-Kerr waveguides with a weak nonlocality

Author

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  • Triki, Houria
  • Mani Rajan, M.S.

Abstract

We study the self-similar transmission of light beams through a tapered graded-index nonlinear waveguide amplifier with parabolic law nonlinearity. Especially we, for the first time ever, consider the influence of nonlocality in the tapered parabolic-law nonlinear medium, which is a generic property of real physical media. With the utilization of the similarity transformation method, we construct the exact analytical bright and dark similariton solutions of the generalized nonlinear Schrödinger equation with distributed diffraction, cubic and quintic nonlinearity, weak nonlocality, tapering effect, and linear gain or loss that governs the self-similar beam dynamics in such system. We discuss the control and dynamical behavior of the self-similar localized wave structures for different tapering profiles that are of relevance in practical applications. The results show that through appropriately choosing the tapering profile, the evolution dynamics of optical similaritons can be effectively controlled.

Suggested Citation

  • Triki, Houria & Mani Rajan, M.S., 2024. "Optical similaritons in a tapered graded-index non-Kerr waveguides with a weak nonlocality," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005307
    DOI: 10.1016/j.chaos.2024.114978
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