Tomographic retrieval of the polarization state of an ultrafast laser pulse

We introduce a self-referenced method for determining the complete polarization state of an ultrafast pulse field. The algorithm is based on any well-established technique that measures both the intensity and phase of a single polarization, such as frequency-resolved optical gating (FROG). We demonstrate the retrieval of nontrivial fields generated using a polarization-amplitude-phase ultrafast pulse shaper using four standard FROG measurements.