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Multi-wavelength radiometric thermometry data processing algorithm based on the BFGS algorithm.

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    This study introduces the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm for accurate multi-wavelength radiometric thermometry. The BFGS algorithm effectively determines true temperature and spectral emissivity without needing a predefined emissivity model.

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    Area of Science:

    • * Physics and Engineering
    • * Thermometry and Radiometry

    Background:

    • * Multi-wavelength radiometric thermometry offers broad industrial applications.
    • * Accurate temperature measurement is hindered by unknown spectral emissivity.
    • * Existing data processing algorithms struggle with unknown emissivity models.

    Purpose of the Study:

    • * To develop a novel algorithm for accurate temperature and emissivity determination.
    • * To address the challenge of unknown emissivity in radiometric thermometry.
    • * To validate the effectiveness and efficiency of the proposed method.

    Main Methods:

    • * Application of the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm.
    • * Inverse modeling to determine true temperature and spectral emissivity.
    • * Simulation and verification experiments without assuming emissivity models.

    Main Results:

    • * The BFGS algorithm successfully identifies emissivity models and inverts temperature and emissivity.
    • * Initial emissivity values have minimal impact on the inversion results.
    • * High precision (max absolute error < 3.5 K) and efficiency (computation time < 0.2 s) demonstrated.

    Conclusions:

    • * The BFGS algorithm is a precise, efficient, and reliable method for radiometric thermometry.
    • * The approach accurately determines temperature and spectral emissivity without prior model assumptions.
    • * The method is suitable for real-time temperature measurement in industrial processes.