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Inverse problem approaches for stationary Fourier transform spectrometers

Abstract : A design of a miniaturized stationary Fourier transform IR spectrometer has been developed that produces a two-dimensional interferogram. The latter is disturbed by effects like parasitic interferences or disparities in the cutoff wavelength of the pixels. Thus, a simple Fourier transform cannot be used to estimate the spectrum of the scene. However, as these defects are deterministic, they can be measured and taken into account by inversion methods. A regularization term can also be added. The first experimental results prove the efficiency of this processing methodology.
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Frédéric Gillard, Sidonie Lefebvre, Yann Ferrec, Laurent Mugnier, Sylvain Rommeluère, et al.. Inverse problem approaches for stationary Fourier transform spectrometers. Optics Letters, Optical Society of America, 2011, 36 (13), pp.2444--2446. ⟨10.1364/OL.36.002444⟩. ⟨hal-00700330⟩

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