Abstract

We introduce a spectral reconstruction method to enhance the spectral resolution in a static modulated Fourier-transform spectrometer. The optical-path difference and the interferogram in the focal plane, as well as the relationship of the interferogram and the spectrum, are discussed. Additionally, for better spectral reconstruction, applications of phase-error correction and apodization are considered. As a result, the transfer function of the spectrometer is calculated, and then the spectrum is reconstructed based on the relationship between the transfer function and the interferogram. The spectrometer comprises a modified Sagnac interferometer. The spectral reconstruction is conducted with a source with central wave number of 6,451 cm⁻¹ and spectral width of 337 cm⁻¹. In a conventional Fourier-transform method the best spectral resolution is 27 cm⁻¹, but by means of the spectral reconstruction method the spectral resolution improved to 8.7 cm⁻¹, without changing the interferometric structure. Compared to a conventional Fourier-transform method, the spectral width in the reconstructed spectrum is narrower by 20 cm⁻¹, and closer to the reference spectrum. The proposed method allows high performance for static modulated Fourier-transform spectrometers.

© 2022 Optical Society of Korea

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