Full Characterization of Partially Coherent Vector Vortex Beams via Generalized Stokes Parameters

The generalized Stokes parameters (GSPs) for partially coherent vector vortex beams (PC-VVBs) are meticulously determined through a double-slit (DS) experiment, marking the first, to the best of our knowledge, measurement for polarization singular beams. GSPs provide a comprehensive characterization of PC-VVBs, encompassing the state of polarization (SoP), degree of polarization (DoP), and electromagnetic degree of coherence (EMDoC) information. It is demonstrated that the modulus and phase of GSPs provide information about the singularity index, polarity, and type of PC-VVB. The maximum GSP values near the singularity are used to calculate EMDoC. Furthermore, the DoP is calculated using normalized GSPs. This study may find potential wherever the coherence and polarization properties are crucial, including polarization metrology, optical communication, etc.