Snapshot imaging spectropolarimetry is emerging as a powerful tool for mapping the spectral dependent state of
polarization across most of scenarios (stable and variable), owing to its capability of real-time parallel acquisition. In this
paper, two schema of snapshot full-Stokes imaging polarimeters (SFSIP) based on division-of-aperture polarimetry are
presented firstly. In compliance with the definition of Stokes parameters, the first SFSIP consists of three Wollaston
prisms with superior extinction ratio and simultaneously measures six polarimetric intensities (I0, I90, I45, I135, IL and IR)
of scene. However, the spatial resolution of each polarimetric image only occupy one-six of detector. To increase the
spatial resolution, the second SFSIP comprises a optimal four-quadrant polarization array and a pyramid prism is used to
simultaneously acquire four polarimetric intensities. Since the optimal four-quadrant polarization array consists of a
uniform linear polarizer and four 132º retarders with different azimuth of fast axis, the signal-to-noise ratio for each of
the recovered Stokes parameters will be balanced and enhanced. Finally, the four-quadrant polarization array and
pyramid prism are integrated into a integral field spectroscopy to construct a snapshot full-Stokes imaging
spectropolarimetry (SFSISP). It is used to map the spectral dependent full Stokes parameters across a scene in real time.
Three compact and static birefringent Fourier transform imaging spectropolarimeters are presented. They based on the different combinations of birefringent elements, including Savart polariscope, Wollaston prism, achromatic half-wave plate and quarter-wave plate. After acquiring several interferograms simultaneously for different polarization states with a single CCD, the spectral dependence of polarization states are recovered with Fourier transformation. The interference models are described theoretically, and the performances are demonstrated through numerical simulations and experiments. In contrast to the well-known channeled spectropolarimetry, the most important advantages are that the sampling interferograms have no channel aliasing and directly correspond to the maximum optical path difference of birefringent interferometer. That is say, they can recover the spectral variation of polarization state with the interferometer’s maximum spectral resolution.