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There are two main infrared (IR) spectrophotometers: dispersive IR spectrometers and Fourier transform infrared (FTIR) spectrometers. In a dispersive IR spectrometer, a beam of infrared radiation produced by a hot wire is divided into two parallel equal-intensity beams using mirrors. One beam passes through the sample, while another is a reference beam. The beams then move through the monochromator, which separates the radiations into a continuous spectrum of different frequencies. The...
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The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
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    This study compares prism-based static Fourier transform spectrometers (S-FTSs) to grating-based ones. Prism S-FTSs offer superior signal-to-noise ratio due to lower diffused light and simpler optical designs.

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    Area of Science:

    • Spectroscopy
    • Optical Instrumentation

    Background:

    • Static Fourier transform spectrometers (S-FTSs) are established instruments for high-resolution spectral analysis.
    • Grating-based S-FTSs utilize reflective gratings, which can be a significant source of noise due to light diffusion.

    Purpose of the Study:

    • To compare the signal-to-noise ratio (SNR) performance of prism-based S-FTSs versus grating-based S-FTSs.
    • To evaluate the advantages of using prisms as dispersive elements in S-FTS.

    Main Methods:

    • A prism-based static Fourier transform spectrometer was designed and its performance analyzed.
    • The SNR of the prism-based S-FTS was compared to that of a conventional grating-based S-FTS.

    Main Results:

    • Prism-based S-FTSs exhibit intrinsically lower diffused light compared to gratings.
    • Prisms avoid multiple diffracted orders, simplifying optical baffling requirements.
    • The prism-based design demonstrated improved signal-to-noise ratio performance.

    Conclusions:

    • Prism-based S-FTSs present a viable alternative to grating-based systems.
    • The reduced noise and optical complexity make prisms advantageous for S-FTS development.