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

Kozacki Tomasz; Martinez-Carranza Juan; Kukolowicz Rafal; Finke Weronika

摘要

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-DHto 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. (C) 2020 Optical Society of America

机译：精确地重建在X方向上大的数字全息图，在Y方向上很小，称为水平视差仅数码全息图（HPO-DH），必须通过诸如经典角谱（如）方法。然而，用于重建HPO-DHS的所需空间带宽产品（SBP）需要数十亿像素，这是计算密集的。此外，用于移除别名组件的零填充的应用将产生无法忍受的计算负担。在这项工作中，提出了一种作为重建具有低SBP的非剖视HPO-DHS的技术的新颖。所提出的技术首先采用多傅里叶变换平面传播方法，该方法避免了处理HPO-DHTo的垂直方向上的尺寸的增加。用于场计算的第二种成分是由多傅里叶变换计算形成的垂直瓦片的相干叠加。所描述的方法能够用AS方法重建HPO-DHS，并减少SBP。 SBP的有效管理允许在X方向上实现零填充策略。结果表明，填充策略可以在频率，空间和空间域中实现。因此，同时可以抑制锯齿化组分和空间分辨率的增加。最后，通过数值模拟和实验证明了开发技术的准确性和效用。（c）2020美国光学学会

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

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