Signal decoupling in digital holography via compressive sensing

Digital holography (DH) could realize three dimensional (3-D) imaging since it records the wavefront induced by an object volume. However, DH suffers from two inherent drawbacks for 3-D imaging: the twin images and cross talks between different depths. Both these two terms severely trouble DH because they couple with the reconstructed signal, particularly under microscopic configuration. In this work, we briefly review the signal decoupling techniques in DH and introduce the achieved micron-level depth-resolved uncoupled signal reconstruction via compressive sensing (CS). As an optimization strategy for signal reconstruction, CS is capable of filtering out the coupled signals by sparsity constraint. The CS based signal decoupling in DH is analyzed and verified by numerical simulations and optical experiments.