A theoretical investigation into the 3D point spreading situation of a scanning holographic imaging system based on random phase encoding

In this paper, by analyzing variance and noise probability distribution of the reconstructed image, a point spreading situation of adjacent section under the conventional optical scanning holography (OSH) method and a new one based on random-phase encoding (RPE) are studied. Simulation results show that, compared to the conventional OSH at the same de-focus distance, the RPE-OSH can lead the distribution of reconstructed adjacent sections to be more homogeneous and manifested as a speckle-like pattern on the in-focus image. Further study shows that the complex amplitude probability distribution of adjacent section meets the shape of Gaussian curve, and noise can be filtered out by some corresponding filters. So aliasing and interference on the in-focus image can be removed.

► Analyzing point spreading of reconstructed image by variance and noise probability distribution.
► OSH method based on RPE may make the reconstructed defocus image more dispersive.
► Probability distribution of complex amplitude trend to be a Gaussian curve.
► Reconstructed image may disperse to be an almost homogeneous background when defocusing far.
► OSH method based on RPE may be potential in sectional technology.