  Complex vectorial light fields, non-separable in their polarization and
spatial degree of freedom, are of relevance in a wide variety of fields
encompassing microscopy, metrology, communication and topological studies.
Controversially, they have been suggested as analogues to quantum entanglement,
raising fundamental questions on the relation between non-separability in
classical systems, and entanglement in quantum systems. Here we propose and
demonstrate basis-independent tomography of arbitrary vectorial light fields by
relating their concurrence to spatially resolved Stokes projections. We
generate vector fields with controllable non-separability using a novel compact
interferometer that incorporates a digital micro-mirror device (DMD), thus
offering a holistic toolbox for the generation and quantitative analysis of
arbitrary vectorial light fields.
