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Multi-Depth Computer-Generated Hologram Based on Stochastic Gradient Descent Algorithm with Weighted Complex Loss Function and Masked Diffraction

Authors :
Jiale Quan
Binbin Yan
Xinzhu Sang
Chongli Zhong
Hui Li
Xiujuan Qin
Rui Xiao
Zhi Sun
Yu Dong
Huming Zhang
Source :
Micromachines, Vol 14, Iss 3, p 605 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

In this paper, we propose a method to generate multi-depth phase-only holograms using stochastic gradient descent (SGD) algorithm with weighted complex loss function and masked multi-layer diffraction. The 3D scene can be represented by a combination of layers in different depths. In the wave propagation procedure of multiple layers in different depths, the complex amplitude of layers in different depths will gradually diffuse and produce occlusion at another layer. To solve this occlusion problem, a mask is used in the process of layers diffracting. Whether it is forward wave propagation or backward wave propagation of layers, the mask can reduce the occlusion problem between different layers. Otherwise, weighted complex loss function is implemented in the gradient descent optimization process, which analyzes the real part, the imaginary part, and the amplitude part of the focus region between the reconstructed images of the hologram and the target images. The weight parameter is used to adjust the ratio of the amplitude loss of the focus region in the whole loss function. The weight amplitude loss part in weighted complex loss function can decrease the interference of the focus region from the defocus region. The simulations and experiments have validated the effectiveness of the proposed method.

Details

Language :
English
ISSN :
2072666X
Volume :
14
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Micromachines
Publication Type :
Academic Journal
Accession number :
edsdoj.9da469c0b6b74142be82abbaf6122544
Document Type :
article
Full Text :
https://doi.org/10.3390/mi14030605