Spatial resolution limit of single pixel imaging of complex light fields

Complex light fields with arbitrary amplitudes and phases can be measured by sampling them with an orthogonal basis (i.e., canonical, Hadamard) and performing single pixel interferometric measurements of the focused modes. In this work, we show that when the spatial resolution of the sampling basis is coarser than the spatial resolution of the phase in the complex field, the measured reconstructed amplitude exhibits cross talk with the phase, i.e., phase information appears in the amplitude. To demonstrate this phenomenon, we encode an arbitrary amplitude and a phase with a spatial light modulator and compare measurements with simulations.