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    This study introduces a novel two-dimensional vector displacement sensor using a multi-core fiber and Bragg gratings. Machine learning, specifically random forest, significantly enhances its measurement range and accuracy for displacement sensing.

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    Area of Science:

    • Optoelectronics
    • Fiber Optics Sensing
    • Machine Learning Applications

    Background:

    • Accurate measurement of two-dimensional vector displacement is crucial in various engineering applications.
    • Traditional sensors often face limitations in simultaneously determining displacement direction and amplitude accurately.
    • Optical fiber sensors offer advantages in remote and harsh environment sensing.

    Purpose of the Study:

    • To develop and evaluate a two-dimensional vector displacement sensor capable of simultaneous direction and amplitude measurement.
    • To investigate the performance enhancement of the sensor using a random forest machine learning algorithm.
    • To compare the sensor's performance with a theoretical model versus a machine learning approach.

    Main Methods:

    • Design and fabrication of a sensor based on a seven-core multi-core fiber with inscribed Bragg gratings.
    • Acquisition of displacement data under random circumstances.
    • Development and application of a theoretical model for data analysis.
    • Implementation of a random forest algorithm for enhanced data processing and performance evaluation.

    Main Results:

    • The theoretical model demonstrated good performance within a limited linear range (0-9 mm).
    • The random forest-assisted sensor achieved a significantly wider measurement range (0-45 mm).
    • Mean absolute errors for direction and amplitude reconstruction were reduced by 60% and 98%, respectively, with the random forest model.

    Conclusions:

    • The proposed multi-core fiber sensor effectively measures two-dimensional vector displacement.
    • Random forest machine learning significantly improves the sensor's measurement range and accuracy.
    • This work highlights the potential of machine learning in point-based optical multi-parameter sensing systems.