Basis-independent tomography and nonseparability witnesses of pure complex vectorial light fields by Stokes projections

Complex vectorial light fields, non-separable in their polarization and\nspatial degree of freedom, are of relevance in a wide variety of fields\nencompassing microscopy, metrology, communication and topological studies.\nControversially, they have been suggested as analogues to quantum entanglement,\nraising fundamental questions on the relation between non-separability in\nclassical systems, and entanglement in quantum systems. Here we propose and\ndemonstrate basis-independent tomography of arbitrary vectorial light fields by\nrelating their concurrence to spatially resolved Stokes projections. We\ngenerate vector fields with controllable non-separability using a novel compact\ninterferometer that incorporates a digital micro-mirror device (DMD), thus\noffering a holistic toolbox for the generation and quantitative analysis of\narbitrary vectorial light fields.\n