物理学报Issue(19)：132-139,8.DOI:10.7498/aps.63.194207
基于Hilb ert变换实现数字全息高精度相位重建
High accuracy phase reconstruction of digital hologram by Hilb ert transform
摘要
Abstract
To improve the phase accuracy of the reconstructed image of the digital hologram, we investigate the theory and method of the phase reconstruction based on the Hilbert transform, then, verify it by the image plane digital holographic experiment, and finally, compare it with the conventional digital holographic reconstruction method. Results show that Hilbert transform itself posseses the effect of eliminating DC term, therefore the effect of the zero-order frequency spectrum of the hologram which is filtered by frequency domain can be completely eliminated by Hilbert transform. Compared with the conventional Fourier reconstruction mehtod, the accuracy of the phase image can be improved by the reconstruction method based on Hilbert transform, and the standard deviation of the phase image is reduced by 14%in the experiment of red blood cell. This result has an important guiding significance to improve the accuracy of the digital holographic phase reconstruction.关键词
数字全息术/像面数字全息术/Hilbert变换/相位重建Key words
digital holography/image-plane digital holography/Hilbert transform/phase reconstruction引用本文复制引用
范锋,栗军香,宋修法,朱巧芬,王华英..基于Hilb ert变换实现数字全息高精度相位重建[J].物理学报,2014,(19):132-139,8.基金项目
国家自然科学基金(批准号:61077001和61144005),河北省自然科学基金(批准号：F2010001038, A2013402036和F2014402090),河北省科技支撑计划(批准号:09277101D)和河北省教育厅科技计划重点项目(批准号：ZH2011241)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.61077001,61144005), the Natural Science Foundation of Hebei Province, China (Grant Nos. F2010001038, A2013402036, F2014402090), the Key Technology Research and Development Program of Hebei Province, China (Grant No.09277101D), and the Key Project of Education Department of Hebei Province (Grant No. ZH2011241) （批准号:61077001和61144005）
