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    An extended theory enhances cross-gain modulation analysis for greater accuracy. This research offers a practical method for achieving high spectral sensitivity in optical sensing applications.

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    Area of Science:

    • Optics and Photonics
    • Optical Sensing
    • Nonlinear Optics

    Background:

    • Cross-gain modulation (XGM) is a nonlinear optical phenomenon crucial for optical switching and sensing.
    • Existing theories for XGM often have limitations under specific experimental conditions, such as high modulation intensity or long interaction lengths.

    Purpose of the Study:

    • To develop an extended theory for mutually modulated cross-gain modulation (MM-XGM) applicable to a wider range of experimental parameters.
    • To investigate the relationship between spectral sensitivity and amplitude in modulated probe beams.
    • To provide a practical method for achieving high spectral sensitivity in optical sensing.

    Main Methods:

    • Development of an extended theoretical model for MM-XGM.
    • Parametric analysis of the extended theory to understand spectral sensitivity characteristics.
    • Experimental validation using a fiber-based sensing setup with a modulated probe beam.

    Main Results:

    • The extended theory accurately describes MM-XGM for considerable modulated wavenumber-interaction length products.
    • Spectral sensitivity of the first harmonic wave in the modulated probe beam is inversely related to its amplitude.
    • A practical method for monitoring and achieving high spectral sensitivity at pre-selected frequency detuning was demonstrated.

    Conclusions:

    • The extended theory provides a more robust framework for analyzing MM-XGM.
    • The findings enable precise control over spectral sensitivity for enhanced optical sensing.
    • Experimental validation confirmed the theory's effectiveness, achieving a sensitivity of 0.592 mrad/kHz in a 10-km fiber.