Iterative synthesis of binary inline Fresnel holograms for high-quality reconstruction in divergent beams with DMD

Cheremkhin, Pavel A.; Evtikhiev, Nikolay N.; Krasnov, Vitaly V.; Starikov, Rostislav S.; Zlokazov, E. Yu.

doi:10.1016/j.optlaseng.2021.106859

Cited by 12 publications

(8 citation statements)

References 41 publications

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“…The method of synthesis of binary inline Fresnel holograms allows for image reconstruction in divergent beams using DMD [ 23 ]. The method consists of three stages.…”

Section: The Methodsmentioning

confidence: 99%

“…The obtained halftone DOE is binarized. In [ 23 ], only the Otsu threshold method was used. The question of using other binarization methods was not considered.…”

Section: The Methodsmentioning

confidence: 99%

“…To change this, an iterative method of synthesis of amplitude binary inline Fresnel holograms in divergent beams was recently proposed [ 23 ]. It consists of three components: the modified Gerchberg–Saxton algorithm, Otsu binarization [ 24 ] and direct search with random trajectory technique (DSRT) [ 25 , 26 ] at the end of the method.…”

Section: Introductionmentioning

confidence: 99%

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What Binarization Method Is the Best for Amplitude Inline Fresnel Holograms Synthesized for Divergent Beams Using the Direct Search with Random Trajectory Technique?

et al. 2023

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Fast reconstruction of holographic and diffractive optical elements (DOE) can be implemented by binary digital micromirror devices (DMD). Since micromirrors of the DMD have two positions, the synthesized DOEs must be binary. This work studies the possibility of improving the method of synthesis of amplitude binary inline Fresnel holograms in divergent beams. The method consists of the modified Gerchberg–Saxton algorithm, Otsu binarization and direct search with random trajectory technique. To achieve a better quality of reconstruction, various binarization methods were compared. We performed numerical and optical experiments using the DMD. Holograms of halftone image with size up to 1024 × 1024 pixels were synthesized. It was determined that local and several global threshold methods provide the best quality. Compared to the Otsu binarization used in the original method of the synthesis, the reconstruction quality (MSE and SSIM values) is improved by 46% and the diffraction efficiency is increased by 27%.

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“…The method of synthesis of binary inline Fresnel holograms allows for image reconstruction in divergent beams using DMD [ 23 ]. The method consists of three stages.…”

Section: The Methodsmentioning

confidence: 99%

“…The obtained halftone DOE is binarized. In [ 23 ], only the Otsu threshold method was used. The question of using other binarization methods was not considered.…”

Section: The Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

What Binarization Method Is the Best for Amplitude Inline Fresnel Holograms Synthesized for Divergent Beams Using the Direct Search with Random Trajectory Technique?

et al. 2023

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“…To improve the performance of BAH generation with this approach, in [26] was introduced a modification based on adaptative thresholding binarization combined with block division of the hologram followed by error diffusion. In a second contribution, a hologram generated by means of the Gerchberg-Saxton algorithm is binarized using a random trajectory direct binary search [27]. The direct binary search involves generating two holograms: the first hologram is the original hologram of the object, while the second hologram is obtained through a binarization process applied to the first one.…”

Section: Introductionmentioning

confidence: 99%

Non-iterative generation of binary amplitude holograms applied to holographic projection with digital micromirror devices

Hoyos-Peláez,

Velez-Zea,

Barrera-Ramírez

2024

J. Opt.

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In this work, we implement a fast non-iterative method for the generation of binary amplitude Fresnel holograms and demonstrate their application in a holographic projection scheme based on a digital micromirror device. To achieve this, we perform the binarization of phase-only holograms generated using an optimized Fresnel random phase. We analyze the quality of the resulting binary amplitude holograms and compare them with holograms obtained with the conventional iterative Fresnel algorithm as a function of the number of iterations and the propagation distance. Additionally, we evaluate the diffraction efficiency in both methods. We demonstrate that the holograms produced with our proposal present significantly advantages in computation speed without a significant reduction in the reconstruction quality. Both experimental and numerical results confirm the effectiveness of our proposal.

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“…However, the current SLMs are capable to display either the amplitude or the phase component of the complex amplitude hologram. Although the diffraction efficiency of phase-only SLMs is high, their refresh rates are low, in contrast, amplitude-only SLMs such as DMDs have received widespread attention due to their high refresh rates that enable color and dynamic displays [5][6][7][8] . The main encoding methods for AOH are detour phase encoding, Lee's four-step encoding [9][10] , and modified off-axis reference beam encoding 11 , with the latter also known as the Burch encoding method (BEM).…”

Section: Introductionmentioning

confidence: 99%

Optimization algorithm for amplitude-only hologram based on digital micromirror device

Chen¹,

Wu²

2023

Third Optics Frontier Conference (OFS 2023)

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An optimization algorithm for binary amplitude-only hologram (BAOH) based on the point source method (PSM) with the holographic viewing window (HVW) by using particle swarm optimization (PSO) is proposed. We convert the 256 grayscale levels of each pixel of the original image into an 8-bit binary format and sequentially extract the effective bits of each pixel to generate eight frames of binary original images. Then we introduce random constant phases to be optimized on the wavefront phase of the point source to superimpose the wavefront and generate a grayscale hologram with Burch encoding and binarize it. PSO algorithm is used to search for the optimized constant phase (OCPs) corresponding to each point source wavefront to generate an optimized BAOH. The grayscale representation of the reconstructed image is achieved by sequentially loading eight frames of BAOH on the digital micromirror device (DMD) while controlling the pulse width doubling the illumination of the laser. Simulation results show that the speckle noise of the reconstructed image using the proposed method is significantly suppressed compared with that using the random phase method (RPM), which demonstrates the feasibility of the proposed method.

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Iterative synthesis of binary inline Fresnel holograms for high-quality reconstruction in divergent beams with DMD

Cited by 12 publications

References 41 publications

What Binarization Method Is the Best for Amplitude Inline Fresnel Holograms Synthesized for Divergent Beams Using the Direct Search with Random Trajectory Technique?

What Binarization Method Is the Best for Amplitude Inline Fresnel Holograms Synthesized for Divergent Beams Using the Direct Search with Random Trajectory Technique?

Non-iterative generation of binary amplitude holograms applied to holographic projection with digital micromirror devices

Optimization algorithm for amplitude-only hologram based on digital micromirror device

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