Static Fourier transform (StFT) spectrometers, as well as multichannel disp
ersive spectrometers, normally have a small value for the product of resolv
ing power and relative free spectral range. This value is limited by the nu
mber of pixels in a row of the detector array used by the spectrometer. A m
ethod of increasing the resolving power of static Fourier transform spectro
meters, while preserving their wide free spectral range, is proposed. The t
echnique introduces a stepped retardation into a double-beam interferometer
with a two-dimensional detector array. Several configurations of SIFT spec
trometers with stepped retardation are presented and the theoretical model,
performance limitations and experimental results are discussed. The possib
ility of achieving large values of resolving power is demonstrated.