Fast Diffraction Calculation for Spherical Computer-Generated Hologram Using Phase Compensation Method in Visible Range

The synthesis of the spherical hologram has been widely investigated in recent years as it enables a large field of view both horizontally and vertically. However, there is an important issue of long time consumption in spherical computer-generated holograms (SCGHs). To address this issue, a fast diffraction calculation method is proposed for SCGH based on phase compensation (PC). In our method, a wavefront recording plane (WRP) near the SCGH is used to record the diffraction distribution from the object plane, and the phase difference is compensated point-to-point from the WRP to generate the SCGH, during which a nonuniform sampling method is proposed to greatly decrease the sampling rate and significantly accelerate the generation speed of SCGH. In this paper, there are three main contributions: (1) SCGHs with the resolution of full high-definition can be synthesized in visible range with reducing the sampling rate. (2) Due to the current difficulty of realizing holographic display with curved surfaces, our PC method provides an alternative approach to implement optical experiments of SCGH, which takes it closer to the practical applications of spherical holography. (3) The problem of time-consuming calculation of the propagation model between plane and sphere is solved firstly to our best knowledge.