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    Area of Science:

    • Spectroscopy
    • Optical Physics
    • Data Analysis

    Background:

    • Fourier transform spectroscopy (FTS) is a powerful technique for spectral analysis.
    • Interferograms in FTS require apodization and phase correction for accurate spectrum calculation.
    • Phase errors can occur due to fixed apodization during interferogram shifting for phase correction.

    Purpose of the Study:

    • To theoretically describe the phase error introduced by zero point displacement in FTS.
    • To develop an algorithm for the removal of this specific phase error.
    • To investigate the impact of fixing the zero point to sampling positions on spectroscopic accuracy.

    Main Methods:

    • Theoretical derivation of phase error effects in Fourier transform spectroscopy.
    • Development and application of a novel algorithm for phase error correction.
    • Analysis of band shape distortions resulting from zero point fixation.

    Main Results:

    • A theoretical framework explaining phase errors due to zero point shifts in FTS was established.
    • An effective algorithm for correcting these phase errors was successfully developed and implemented.
    • Fixing the zero point to sampling positions was found to introduce significant band shape errors, exceeding noise levels.

    Conclusions:

    • The derived theoretical model accurately describes phase errors in FTS.
    • The developed algorithm provides a reliable method for mitigating phase errors, enhancing spectral accuracy.
    • Accurate zero point determination is critical for maintaining spectroscopic fidelity and avoiding band shape distortions.