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强度传输方程和角谱迭代融合的相位检索算法

Phase Retrieval Algorithm Combining Transport of Intensity Equation and Angular Spectrum Iterative

程鸿   沈川   张成   张芬   韦穗  
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摘要

相位检索技术将光学与计算相结合,从强度测量中恢复相位,包括强度传输方程法和角谱迭代法。但前者仅对近场相位的恢复有效,其基于相干照明的假设前提使得该方法不能直接应用于自然场景的相位检索中;而后者具有迭代不确定性、收敛速度慢等缺点。探讨了在相干照明情况下传统强度传输方程法和角谱迭代法相融合的相位检索算法,将该融合法进一步扩展,提出了适用于自然场景透镜模型的相位检索方法,即使用强度传输方程法计算像平面的相位,并将该相位值作为角谱迭代的初始值,根据光路的可逆性,迭代出物面的相位信息,分别给出了两种情况下的实验结果。

Abstract

Phase retrieval technology combines optics and calculations to recover phase from the intensity measurement, including transport of intensity equation and angular spectrum iterative. Unfortunately, the former is only effective for near-field phase retrieval, and it can not be directly applied to the phase retrieval of natural scenes, because this method is based on the assumption of coherent illumination. The latter has many shortcomings including iterative uncertainty, slow convergence and so on. Traditional transport of intensity equation combining with angular spectrum iterative is explored in the case of coherent illumination. The fusion method is further expanded and the phase retrieval method is proposed for natural scene lens model. The phase of the image plane is calculated using transport of intensity equation, and the value is used as the initial value of the angular spectrum iterative. The phase information in the object plane is acquired according to the reversibility of the optical path. The results of experiments are given in these two cases.

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中图分类号:O436

DOI:10.3788/cjl201441.0609001

所属栏目:全息与信息处理

基金项目:国家自然科学基金(61301296,61377006,61201396)、NSFC-广东联合基金(U1201255)、高等学校博士学科点专项科研基金优先发展领域课题(20113401130001)、安徽大学博士科研启动经费(33190219)

收稿日期:2013-11-25

修改稿日期:2013-12-25

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程鸿:安徽大学计算智能与信号处理教育部重点实验室, 安徽 合肥 230039
沈川:安徽大学计算智能与信号处理教育部重点实验室, 安徽 合肥 230039
张成:安徽大学计算智能与信号处理教育部重点实验室, 安徽 合肥 230039
张芬:安徽大学计算智能与信号处理教育部重点实验室, 安徽 合肥 230039
韦穗:安徽大学计算智能与信号处理教育部重点实验室, 安徽 合肥 230039

联系人作者:程鸿(chenghong@ahu.edu.cn)

备注:程鸿(1981—),女,博士,讲师,主要从事计算信号处理方面的研究。

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