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Characterization and analysis of spin-orbit coupled (SOC) states, as ameasurement problem, play a vital role in research on the modern optics andphotonics based on structured light. Here, we demonstrate determination ofphotonic SOC states via spatial-Stokes measurement, in which two spatialcomplex probability amplitudes of spin-dependent spatial modes within SOCstates and their relative (intramode) phase can be measured directly. Comparedwith the standard quantum-state tomography, by avoiding wavefront-flatteningoperations, the apparatus can completely record photons' realistic SOCstructure, leading to a more accurate and precise determination ofwavefunction. This simple and general approach for SOC state determination canprovide a powerful toolkit for in-situ measuring photonic SOC state,characterizing the quality of SOC light source and associated geometric-phasedevices.

Full characterization of spin-orbit coupled photons via spatial-Stokes measurement