Digital holographic phase reconstruction technology based on Hilbert transform

GAO Yafei; GUO Haijun; SONG Xiufa; YU Mengjie; WANG Huaying

doi:10.7510/jgjs.issn.1001-3806.2015.02.025

In order to improve the accuracy of digital holographic reconstruction, theoretical analysis and experimental verification of digital holographic reconstruction phase were made by using Hilbert transform. Firstly, the zero order item of the hologram was filtered through Fourier transform. Secondly, the hologram without zero order item was shifted 90° through the Hilbert transform so that the analytic signal was constructed and the object's wrapped phase was found. Finally, the object's real phase was obtained by using the least square method to unwrap the phase. The experimental results of Hilbert transform reconstruction and conventional Fourier transform reconstruction were compared. The data of the standard deviation was obtained and compared. The results indicate that the reconstruct precision of this method is higher than the conventional Fourier transform method. The research results are helpful to improve the precision of the phase reconstruction.

Digital holographic phase reconstruction technology based on Hilbert transform

Corresponding author: WANG Huaying, pbxsyingzi@126.com

1. School of Information & Electronic Engineering, Hebei University of Engineering, Handan 056038, China;

2. College of Science, Hebei University of Engineering, Handan 056038, China

Received Date: 2014-03-12

Accepted Date: 2014-04-12

Available Online: 2015-03-25

Abstract: In order to improve the accuracy of digital holographic reconstruction, theoretical analysis and experimental verification of digital holographic reconstruction phase were made by using Hilbert transform. Firstly, the zero order item of the hologram was filtered through Fourier transform. Secondly, the hologram without zero order item was shifted 90° through the Hilbert transform so that the analytic signal was constructed and the object's wrapped phase was found. Finally, the object's real phase was obtained by using the least square method to unwrap the phase. The experimental results of Hilbert transform reconstruction and conventional Fourier transform reconstruction were compared. The data of the standard deviation was obtained and compared. The results indicate that the reconstruct precision of this method is higher than the conventional Fourier transform method. The research results are helpful to improve the precision of the phase reconstruction.

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Reference (14)

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Digital holographic phase reconstruction technology based on Hilbert transform

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通讯作者: 陈斌, bchen63@163.com

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