Inverse problem approaches for stationary Fourier transform spectrometers

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 OCIS codes: 040.3060, 300.6190, 100.3190. We have recently proposed a new design of Fourier transform IR (FTIR) spectrometer [1] that operates with-out the need for a scanning mechanism. The approach consists of designing and building an IR focal plane array (FPA) containing a simple modification that turns it into a stationary FTIR spectrometer. Thus, the spectrometer can be made quite compact, and, ultimately, the entire IR system could be integrated in a Dewar, leading to a hand