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    Area of Science:

    • Sensor Technology
    • Materials Science
    • Physics

    Background:

    • Fiber Bragg Grating (FBG) sensors are crucial for multi-parameter measurements.
    • Accurate decoupling of temperature and force is challenging in FBG sensing.
    • Nonlinearities in sensor characteristics complicate precise measurements.

    Purpose of the Study:

    • To introduce and evaluate a new iterative matrix algorithm for improved temperature and force decoupling in FBG sensing.
    • To integrate nonlinearities in the sensor's temperature characteristic and temperature-dependent force sensitivity.
    • To reduce uncertainties in friction-compensated temperature measurements.

    Main Methods:

    • Application of a novel iterative matrix algorithm.
    • Integration of nonlinear sensor characteristics and temperature-dependent force sensitivity.
    • Testing on a sensor cable with two FBGs (80 µm and 125 µm cladding) in a PEEK capillary.

    Main Results:

    • Significantly reduced uncertainties in friction-compensated temperature measurements.
    • Temperature uncertainties decreased from several degrees Celsius to less than 0.5°C.
    • Effective performance in an extended temperature range (-35°C to 125°C) and high friction forces (up to 1.6 N).

    Conclusions:

    • The iterative matrix algorithm offers superior precision for temperature and force decoupling in FBG sensing.
    • This technique effectively handles nonlinearities and temperature dependencies, crucial for accurate measurements.
    • The method demonstrates significant improvements over standard linear approaches, particularly under challenging conditions.