Phase correction in Fourier transform spectroscopy: subsequent displacement correction and error limit

摘要

In Fourier transform spectroscopy interferograms are apodized prior to the transformation and the calculated spectrum is phase corrected. If the zero point for the Fourier transformation is displaced, a phase error occurs because the apodization remains fixed while the interferogram is shifted by the phase correction. A theoretical description of this effect is derived and an algorithm for subsequent removal is provided. It is also reported that fixing the zero point to solely the sampling positions leads to em-or in the band shape that by far exceeds the noise and therefore limits the spectroscopic accuracy. # 1997 Optical Society of America