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.
© 2011 Optical Society of America
Original Manuscript: May 10, 2011
Revised Manuscript: May 26, 2011
Manuscript Accepted: May 31, 2011
Published: June 21, 2011
Frédéric Gillard, Sidonie Lefebvre, Yann Ferrec, Laurent Mugnier, Sylvain Rommeluère, Céline Benoit, Nicolas Guérineau, and Jean Taboury, "Inverse problem approaches for stationary Fourier transform spectrometers," Opt. Lett. 36, 2444-2446 (2011)