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[Algorithm for Tri-Band Radiation Thermometry Using Dichotomy with Coefficients Stored (DCS)].

Yun-wei Shen, Cheng-yun Xin, Jing-min Dai

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    A new isothermal surface equation for tri-band radiation thermometry was developed. This equation, solved using a dichotomy algorithm, accurately determines temperature by analyzing radiation signals, enhancing measurement efficiency.

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    Area of Science:

    • Physics
    • Engineering
    • Measurement Science

    Background:

    • Accurate temperature measurement is crucial in various industrial and scientific applications.
    • Tri-band radiation thermometry offers a non-contact method for temperature determination.
    • Existing methods may face limitations in accuracy or efficiency under certain conditions.

    Purpose of the Study:

    • To deduce the isothermal surface equation for tri-band radiation thermometry using a linear emissivity model.
    • To develop an efficient solution algorithm for the derived equation.
    • To analyze the behavior and performance of the proposed thermometry method.

    Main Methods:

    • Derivation of the isothermal surface equation based on tri-band radiation measurement equations.
    • Development of a dichotomy-based solution algorithm implemented in C++.
    • Investigation of isothermal surface equation curves and analysis of error and time complexity.

    Main Results:

    • The isothermal surface equation was successfully deduced as a point multiplication of measurement signal and coefficient vectors.
    • A dichotomy algorithm was developed, leveraging the temperature-dependent nature of the measurement signal vector.
    • Analysis revealed monotone curves over a wide temperature range and identified error bounds and computational efficiency.

    Conclusions:

    • The developed isothermal surface equation and dichotomy algorithm provide an effective approach for tri-band radiation thermometry.
    • The method demonstrates high accuracy and significantly improved solving rates.
    • Further investigation into the behavior of isothermal surface curves with varying parameters is warranted.