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Nonlinear interferometers allow for mid-infrared spectroscopy withnear-infrared detection using correlated photons. Previous implementations havedemonstrated a spectral resolution limited by spectrally selective detection.In our work, we demonstrate mid-infrared transmission spectroscopy in anonlinear interferometer using single-pixel near-infrared detection andFourier-transform analysis. A sub-wavenumber spectral resolution allows forrotational-line-resolving spectroscopy of gaseous samples in a spectralbandwidth of over 700$\,$cm$^{-1}$. We use methane transmission spectra around3.3$\,\mu$m wavelength to characterize the spectral resolution, noiselimitations and transmission accuracy of our device. The combination ofnonlinear interferometry and Fourier-transform analysis paves the way towardsperformant and efficient mid-infrared spectroscopy with near-infrareddetection.

Nonlinear interferometer for Fourier-transform mid-infrared gas spectroscopy using near-infrared detection