Compressive sensing has been successfully applied in digital holography (DH), which formulated holography as a compressive sensing problem, thus the reconstruction of hologram is inverted as the decompress and solving the minimization problem. The original information can be reconstructed accurately when the reconstruction conditions are guaranteed in different physical scheme and optical recording set-up. In this paper, the reconstruction conditions are investigated both theoretically and experimentally in near-field Fresnel propagation regime. The effect of recording distance on the physical properties of Fresnel wave propagation is demonstrated, and then show their effect on reconstructed image quality.
Incoherent digital holographic adaptive optics (IDHAO) is a new technology of wavefront sensing and correction. However, the process of the holographic wavefront sensing needs to record digital holograms of object and a guide star independently which reduces the speed of sensing. We present a method for enhancing the operation speed of the IDHAO in this paper. The effects of the size of guide star hologram and the minimum resolvable size of discrete object on compensation of wavefront aberration are discussed. We find that for a discrete object, the hologram of guide star can be extracted from the hologram of the incoherent object. The operation speed of IDHAO system can be enhanced for discrete object by this method. This study improves the potential applications of IDHAO in the field of astronomical observation and so on.