  Rotating-PSF imaging via spiral phase engineering can localize point sources
over large focal depths in a snapshot mode. This letter presents a full
vector-field analysis of the rotating-PSF imager that quantifies the PSF
signature of the polarization state of the imaging light. For sufficiently high
image-space numerical apertures, there can be significant wave-polarization
dependent contributions to the overall PSF, which would allow one to jointly
localize and sense the polarization state of light emitted by point sources in
a 3D field.
