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Fourier transform spectrometer based on Fabry-Perot interferometer.

Tarek A Al-Saeed, Diaa A Khalil

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    Summary
    This summary is machine-generated.

    We present a new method for Fourier transform spectroscopy using a Fabry-Perot interferometer. This technique effectively removes spectral artifacts, improving spectral recovery accuracy.

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    Area of Science:

    • Optical spectroscopy
    • Interferometry
    • Signal processing

    Background:

    • Fourier transform spectrometers (FTS) using Fabry-Perot interferometers are crucial for spectral analysis.
    • Directly applying discrete Fourier transform (DFT) to interferograms can lead to spectral harmonic overlap and spurious components.

    Purpose of the Study:

    • To propose and validate a novel method for spectrum recovery in Fourier transform spectroscopy.
    • To eliminate spectral harmonic overlap and fictitious wavenumber components inherent in the direct DFT method.

    Main Methods:

    • Analysis of a Fourier transform spectrometer based on a symmetric/asymmetric Fabry-Perot interferometer.
    • Acquisition of interferograms by recording intensity versus interferometer length.
    • Application of a novel spectrum recovery method involving Haar or box function expansion of the DFT.

    Main Results:

    • The proposed method successfully recovers the spectrum from the interferogram.
    • Fictitious spectral components outside the original spectral range were eliminated.
    • Spectral harmonic overlap was effectively resolved.

    Conclusions:

    • The novel spectrum recovery method significantly improves the accuracy of Fourier transform spectroscopy.
    • This technique offers a robust solution for mitigating spectral artifacts in interferometric measurements.