论文标题
基于kramers-kronig关系的非题量复杂波场重建
Non-iterative complex wave-field reconstruction based on Kramers-Kronig relations
论文作者
论文摘要
报道了一种重建复杂波场的新计算成像方法。由于存在零频率分量，通过幅度调制测得的信号具有类似于外轴全息图的频谱。本文建立了它们之间的数学类比。基于在任何衍射限制系统下的频段限制信号的观察和分析性，使用Kramers-Kronig（KK）关系的算法仅用于从强度模式中恢复相信息。从感应侧，至少只需要两个测量值。从重建算法侧来看，我们的方法是无迭代的，无参数的，也没有对样品特征的任何假设。它比现有的相像方法具有多个优点，并且可以提供一个独特的观点来了解当前的计算成像方法。
A new computational imaging method to reconstruct the complex wave-field is reported. Due to the existence of zero frequency component, the measured signal by amplitude modulation of pupil has a spectrum similar to the one of off-axis hologram. The mathematical analogy between them is established in this paper. Based on this observation and analyticity of band-limited signal under any diffraction-limited system, an algorithm from Kramers-Kronig (KK) relations is utilized to recover the phase information only from the intensity patterns. From the sensing side, only two measurements are required at least. From the reconstruction algorithm side, our method is iteration-free and parameter-free, also without any assumption on sample characteristics. It owns several advantages over existing phase imaging methods and could provide a unique perspective to understand current computational imaging methods.
