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THz-TDS parameter extraction: empirical correction terms for the analytical transfer function solution.

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    Terahertz time-domain spectroscopy (TDS) can be faster using analytical solutions. New empirical equations significantly reduce errors in refractive index calculations for industrial applications.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Spectroscopy

    Background:

    • Terahertz time-domain spectroscopy (TDS) enables determination of material refractive indices.
    • Current data conversion methods rely on slow, complex iterative algorithms.
    • Analytical solutions exist but introduce significant refractive index errors, especially with material loss.

    Purpose of the Study:

    • To develop a faster, more accurate method for converting TDS data into complex refractive indices.
    • To address the limitations of existing iterative and simplified analytical approaches.
    • To improve the applicability of TDS in time-sensitive industrial settings.

    Main Methods:

    • Analytical solution of the transfer function with low material loss assumption.
    • Identification and characterization of predictable errors in the analytical solution.
    • Development of empirically derived correction equations.

    Main Results:

    • Errors from the analytical solution were found to be largely predictable.
    • Empirical correction terms reduced refractive index errors by two to three orders of magnitude.
    • The corrected analytical method offers a significant improvement in speed and accuracy.

    Conclusions:

    • The proposed empirical correction method provides a fast and accurate alternative to iterative algorithms for TDS data analysis.
    • This approach is highly suitable for industrial applications like process monitoring.
    • Enhanced accuracy and speed in refractive index determination can be achieved without complex iterative computations.