Accurate reconstruction of horizontal parallax-only holograms by angular spectrum and efficient zero-padding

Abstract

Accurate reconstruction of digital holograms that are large in the x direction and small in the y direction, known as horizontal parallax only digital hologram (HPO-DH), must be carried out by non-paraxial propagation approaches such as the classical angular spectrum (AS) method. However, the required space–bandwidth product (SBP) for reconstruction of HPO-DHs requires billions of pixels, which is computationally intensive. Moreover, application of zero-padding for removing aliasing components would generate an unbearable computational burden. In this work, a novel AS technique that reconstructs non-paraxial HPO-DHs with low SBP is proposed. The proposed technique first employs the multi-Fourier transform plane propagation method, which avoids the increase of size in the vertical direction of the HPO-DH to be processed. The second ingredient for field calculation is coherent superposition of vertical tiles formed from the multi-Fourier transform calculations. The described methodology enables reconstruction of HPO-DHs with the AS method and reduced SBP. Efficient managing of the SBP allows implementing zero-padding strategies in the x direction. It is shown that the padding strategies can be implemented in the frequency, space, and space–frequency domains. Hence, suppression of aliased components and increase of the spatial resolution is possible at the same time. Finally, the accuracy and utility of the developed technique is proved by both numerical simulations and experiments.

Occlusion Culling for Wide-Angle Computer-Generated Holograms Using Phase Added Stereogram Technique

“…The possibility of complex wavefront reproduction makes digital holography popular choice in several areas as microscopy [3], metrology [4], non-destructive sensing [5], security [6], design of diffractive optical elements [7]. In the realm of display technology, digital holography enables accurate reproduction of physiological cues [8,9], which is important for photorealistic 3-D images. However, digital holographic systems cannot capture scenes for wide-angle viewing display.…”