Spectrum estimation from truncated, non-linearly phase shifted or irregularly sampled interferograms

Abstract

For performance or speed reasons, many types of spectrometers record only part of the interferogram thanks to its redundancy. Here we examine the consequences of this choice on the resulting spectrum. We jointly explore other sources of error also encountered on spectrometers, such as the irregular sampling of the interferometer and the non-linear phase of the spectrum. Then we revisit and improve the classical processing chain.