Inverse problem approaches for stationary Fourier transform spectrometers

Frédéric Gillard (1, 2) , Sidonie Lefebvre (1) , Yann Ferrec (1) , Laurent Mugnier (1) , Sylvain Rommeluère (1) , Celine Benoit (1) , Nicolas Guérineau (1) , Jean Albert Taboury (2)

1 ONERA - The French Aerospace Lab [Châtillon]
2 Laboratoire Charles Fabry de l'Institut d'Optique / Scop

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.

Keywords: Spectrometers; Inverse problems; Infrared

Domains: Physics [physics]; Physics [physics]; Optics [physics.optics]

Frédéric Gillard, Sidonie Lefebvre, Yann Ferrec, Laurent Mugnier, Sylvain Rommeluère, et al.. Inverse problem approaches for stationary Fourier transform spectrometers. Optics Letters, 2011, 36 (13), pp.2444--2446. ⟨10.1364/OL.36.002444⟩. ⟨hal-00700330⟩