Incoherent digital holography system utilizing single-shot phase-shifting interferometry

We propose single-shot incoherent digital holography with a common-path configuration and single-shot four-step phase-shifting interferometry and construct a system based on the proposal. Space-division multiplexing and states of the polarizations of the waves are utilized to implement single-shot phase-shifting interferometry. A common-path setup is constructed to capture an incoherent hologram easily with a compact system. An instantaneous and three-dimensional object image is obtained without undesired diffraction waves by phase-shifting interferometry from a single recorded image. The validity of the proposed technique is experimentally investigated for an object with a diameter of 1 mm.