光学学报, 2011, 31 (5): 0509001, 网络出版: 2011-05-09   

一种相移合成孔径数字全息图高精度合成方法

A High Precision Synthetic Method of Sub-Holograms in Phase-Shifting Synthetic Aperture Digital Hologram
作者单位
华南师范大学信息光电子科技学院, 广东 广州 510006
摘要
进行了相移合成孔径数字全息的分析与实验研究,分别给出了合成孔径数字全息和相移合成孔径数字全息图的数学表述方法,提出一种用物光场强度图像与多步相移子全息图结合进行相移子孔径数字全息图的合成方法。先以物光场强度图像之间重叠区域的相关运算精确地确定子全息图之间的空间对接位置,在此基础上,再通过相移子全息图之间的重叠区域的相关运算进行相移同步匹配,实现了空间对接匹配与相移同步匹配的分离实施。以2#分辨率板为物体进行了相应的实验研究,子全息图的空间对接匹配的相关系数和相移同步匹配的相关系数均超过了0.99,获得了高质量的再现像,证明了方法的可行性和优点。
Abstract
The mathematical expressions of synthetic aperture digital holography and phase-shifting synthetic aperture digital holography are presented. Based on the cross-correlation algorithm of both the object waves and the phase-shifting sub-holograms, a high precision synthetic method of the sub-holograms in phase-shifting synthetic aperture digital holography is proposed. Firstly, the position relation of the sub-holograms is determined by the cross-correlation algorithm of the adjacent object waves, then phase-shifting synchronization matching is implemented by the cross-correlation algorithm of the phase-shifting sub-holograms, thus it is convenient to reach the separation of the spatial connection matching of the sub-holograms and phase-shifting synchronization matching of the phase-shifting holograms. By use of the Chinese standard resolution test chart 2# as the experimental sample, the results show that the correlation coefficient of both the sub-holograms connection matching and phase-shifting synchronization are more than 0.99, and the reconstructed image with high quality is obtained.

李红燕, 马志俭, 钟丽云, 吕晓旭. 一种相移合成孔径数字全息图高精度合成方法[J]. 光学学报, 2011, 31(5): 0509001. Li Hongyan, Ma Zhijian, Zhong Liyun, Lü Xiaoxu. A High Precision Synthetic Method of Sub-Holograms in Phase-Shifting Synthetic Aperture Digital Hologram[J]. Acta Optica Sinica, 2011, 31(5): 0509001.

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