Full-color holographic 3D display using slice-based fractional Fourier transform combined with free-space Fresnel diffraction

Zhang, Zhen; Chen, Siqing; Zheng, Huadong; Zeng, Zhenxiang; Gao, Hongyue; Yu, Yingjie; Asundi, Anand

doi:10.1364/ao.56.005668

Cited by 16 publications

(9 citation statements)

References 26 publications

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“…Holography has captivated us with its stunning visual effects, finding applications in augmented reality, medical imaging, laser multibeam projection, beam shaping, interference measurement, optical manipulation, and anticounterfeiting . By manipulating the phase or amplitude of light as it passes through the plane of the hologram, arbitrary grayscale images can be projected in the far field.…”

Section: Introductionmentioning

confidence: 99%

Off‐Axis Holography with Uniform Illumination via 3D Printed Diffractive Optical Elements

Wang

Liu

Ruan

et al. 2019

Advanced Optical Materials

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hologram (CGH) algorithms, such as the algorithms of Gerchberg-Saxton (GS), [14] Yang-Gu, [15] Fienup, [16] and Simulated Annealing. [17][18][19] Diffractive optical elements (DOEs) are a common application of CGH. In particular, DOEs consisting of square phase elements (i.e., pixels) are the easiest to design and fabricate. Each of these elements is a structure with a discrete height or refractive index designed to locally modulate the phase of the transmitted light. When combined, DOEs with diffraction efficiencies as high as 80% can be routinely achieved. [20] DOEs inevitably suffer from the zero order spot that appears as a bright spot in the middle of the projected image. The projected image corresponds to the intensity distribution in the Fourier plane, which is obtained by Fourier transform (FT) of the modified wavefront immediately after the hologram plane. Hence, the zero order spot is also referred to as the DC noise. This bright spot is exacerbated by fabrication imperfections and illumination beyond the extent of the DOE. [20][21][22] For instance, a commercialized liquid crystal spatial light modulator (SLM) with a filling fact or of ≈90% would result in a zero order spot due to light that passes through the dead regions. [23] Transparent dielectric structures fabricated by etching and polymer structure made by lithography would possess defects in the surface topography [11,24] that lead to the zero order spot. Furthermore, the inhomogeneity and dispersive optical property of the phase element materials can impede the performance of DOEs. [25] Ineluctably, a bright zero order spot appears in the center of the Fourier plane, [22,25] Diffractive optical elements (DOEs) provide a compact and energy-efficient solution to project arbitrary grayscale images onto a distant screen. Unfortunately, they invariably suffer from the zero order spot, which is caused mainly by undiffracted light that travels along the optical axis of an illuminating laser beam. To produce projected images without the bright spot, one can either shift the intended projection off-axis or block the zero order. However, images projected by these methods are occluded by the dark fringes of the diffraction pattern ("shadowing" effect) or increase the complexity of the optical setup. Here, a new type of DOE is introduced with blazed facets to shift the laser power into the off-axis direction. By adding blazed facets onto each phase element of a computer-generated hologram, far-field projections that are free of both the zero order spot and shadowing effects are produced while maintaining a diffraction efficiency as high as 86%. The blazed facets are fabricated by 3D direct laser writing, which enables continuous phase modulation within a single pixel. This concept of sub-pixel level modification of diffractive optical elements can be extended to other applications requiring precise wavefront shaping or detection, such as 3D displays, mixed-reality technology, and optical analog computing.

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Section: Introductionmentioning

confidence: 99%

Off‐Axis Holography with Uniform Illumination via 3D Printed Diffractive Optical Elements

Wang

Liu

Ruan

et al. 2019

Advanced Optical Materials

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“…The optical FRT of a two-dimensional object function can be expressed as [ 16 ]:

where

denotes the FRT with an order p (0<|p|<2).

and

are the complex amplitude distributions in the object plane and fractional Fourier plane.…”

Section: Principle Of the Proposed Methodsmentioning

confidence: 99%

“…By adding this random phase factor [0, 2π] to object planes, the contribution of all the surface layers to the hologram in the viewpoint of θ can be expressed by the following formula. According to the optical model of Lohmann type-I, we have proposed an improved optical model to analyze a three-dimensional object [16]. We assume that the depth of a three-dimensional object consists of many layers in different depths, as shown in Figure 3.…”

Section: Frt and Hologram Generationmentioning

confidence: 99%

“…We assume that the depth of a three-dimensional object consists of many layers in different depths, as shown in Figure 3. According to the optical model of Lohmann type-I, we have proposed an improved optical model to analyze a three-dimensional object [16]. We assume that the depth of a three-dimensional object consists of many layers in different depths, as shown in Figure 3.…”

Section: Frt and Hologram Generationmentioning

confidence: 99%

“…Moving aperture can reduce that speckle noise that is caused by time averaging effect [ 15 ]. In [ 16 ], Zhang et al proposed the method of displaying full color 3D objects using fractional Fourier transform (FRT). They redisplayed a toy model and analyze the noise by image superposing method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Holographic Three-Dimensional Imaging of Terra-Cotta Warrior Model Using Fractional Fourier Transform

Gao

Zheng

2019

J. Imaging

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Holographic three-dimensional (3D) imaging of Terra-Cotta Warrior model using Fractional Fourier Transform is introduced in this paper. Phase holograms of Terra-Cotta Warrior model are calculated from 60 horizontal viewing-angles by the use of fractional Fourier transform (FRT). Multiple phase holograms are calculated for each angle by adding proper pseudorandom phase to reduce the speckle noise of a reconstructed image. Experimental system based on high-resolution phase-only spatial light modulator (SLM) is built for 3D image reconstruction from the calculated phase holograms. The texture of the Terra-Cotta Warrior model is rough. The calculation of rough texture is optimized in order to show better model details. The effects of computing distance and layer thickness on imaging quality are analyzed finally.

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Fast calculation of computer generated hologram based on single Fourier transform for holographic three-dimensional display

Chang

Zhu

et al. 2021

Displays

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Full-color holographic 3D display using slice-based fractional Fourier transform combined with free-space Fresnel diffraction

Cited by 16 publications

References 26 publications

Off‐Axis Holography with Uniform Illumination via 3D Printed Diffractive Optical Elements

Off‐Axis Holography with Uniform Illumination via 3D Printed Diffractive Optical Elements

Holographic Three-Dimensional Imaging of Terra-Cotta Warrior Model Using Fractional Fourier Transform

Fast calculation of computer generated hologram based on single Fourier transform for holographic three-dimensional display

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