Abstract
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.
Highlights
Holography is widely recognized as the most effective way to achieve true three-dimensional (3D) display because of its capacity to record both amplitude and phase information of 3D objects.there are numerous researches about the implementation and improvement of holograms for practical use [1,2,3,4]
According to the results of graphs and peak signal-to-noise ratio (PSNR), the quality of the reconstructed image is better with the decreasing on the flare angle of wavefront recording plane (WRP), which means that the error of phase compensation (PC) method is greater with wider range of curvature of spherical computer-generated holograms (SCGHs)
A fast diffraction calculation between plane and sphere is proposed for SCGH based on PC method
Summary
Holography is widely recognized as the most effective way to achieve true three-dimensional (3D) display because of its capacity to record both amplitude and phase information of 3D objects. Tachiki et al proposed a method for fast calculating the spherical hologram distribution using convolution algorithm based on fast Fourier transform (FFT) [17] It approximated the diffracted optical field as the calculation result of a convolution integral, which enables FFT to shorten the total computing time. Yatagai explored a fast calculation method of SCGH using spherical wave spectrum [18], which is based on wave propagation defined in spectral domain and in spherical coordinates It uses only N (logN ) operations for calculations on N sampling points and can accelerate the computing process effectively. Approach using PC method to implement optical experiments of SCGH is provided by compensating the phase difference between SCGH and planar SLM before loading the hologram on the SLM for reconstruction, which makes it even closer to realize the practical applications of spherical holography.
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