This paper presents a novel, to the best of our knowledge, and simple technique for achieving a higher spectral resolution in classical static Fourier transform spectrometers. This is achieved by heterodyning the frequency of a standard interferogram to a lower spatial frequency by placing a single transmission grating at the image plane of two mutually coherent beams produced by the interferometer. The grating splits the beams into diffraction orders, which overlap to produce the heterodyned interferogram, similar to that seen in techniques such as spatial heterodyne spectroscopy. The increase in spectral resolution for such a system is shown to be related to the angle between the beams and the groove period of the transmission grating. The theoretical performance of this design is compared with a proof-of-concept system built using off-the-shelf components and tested at visible wavelengths. The experimental results agree well with those produced from a theoretical simulation. (C) 2020 Optical Society of America
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