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    Area of Science:

    • Nonlinear optics
    • Waveguide optics
    • Quantum optics

    Background:

    • Self-steepening (SS) is a crucial nonlinear optical effect in pulse propagation.
    • Existing methods for measuring SS can be complex or indirect.
    • The photon-conserving nonlinear Schrödinger equation (NLSE) provides a new theoretical framework.

    Purpose of the Study:

    • To introduce a simple, direct, and original method for measuring self-steepening (SS) in nonlinear waveguides.
    • To validate the proposed method against analytical models and numerical simulations.
    • To demonstrate the robustness of the method under realistic experimental conditions.

    Main Methods:

    • Utilizing the time shift experienced by soliton-like pulses due to SS.
    • Directly measuring this pulse time shift to estimate the SS parameter.
    • Comparing the proposed method with the standard NLSE approach.

    Main Results:

    • The proposed method accurately estimates the SS parameter through direct time shift measurement.
    • Numerical simulations confirm excellent agreement with the analytical model.
    • The technique is validated across near-infrared, telecommunication, and mid-infrared spectral regions.

    Conclusions:

    • The developed method provides a precise and straightforward way to quantify self-steepening in nonlinear waveguides.
    • The approach is robust against variations in pulse shape, power, width, and higher-order dispersion.
    • This technique offers a significant advancement for characterizing nonlinear optical phenomena.