  A compressive sensing based circular polarization snapshot spectral imaging
system is proposed in this paper to acquire two-dimensional spatial,
one-dimensional circular polarization (the right and left circular
polarization), and one-dimensional spectral information, simultaneously. Using
snapshot can collect the entire four-dimensional datacube in a single
integration period. The dispersion prism in the coded aperture snapshot
spectral imager is replaced by the combination of an Amici prism and a
Wollaston prism to implement the spectral shifting along two orthogonal
directions, which greatly improves the spectral resolution of the image. The
right and left circular polarization components of objects are extracted by the
assemble with an achromatic quarter wave-plate and a Wollaston prism. The
encoding and reconstruction are illustrated comprehensively. The feasibility is
verified by the simulation. It provides us an alternative approach for circular
polarization spectral imaging such as defogging, underwater imaging, and so on.
