Phase retrieval by differential intensity measurements
Phase retrieval by differential intensity measurements
复制标题
通过差分强度测量进行相位检索
DOI：
10.1364/josaa.4.000166
复制
发表时间：
1987
影响因子：
1.9
通讯作者：
R. Gonsalves
中科院分区：
文献类型：
--
作者：
R. Gonsalves
“差强度测量”一词的使用意味着进行两次或两次以上的强度测量，在两次测量之间测量系统的参数略有变化。例如，焦平面的位置或光圈的透射可能会改变。在这两种情况下，都有可能找到相位检索问题的封闭形式的解，而不是通常的迭代解。第一种情况对应于未知相位的二次相移，以前已经有几位作者研究过。对这个问题的研究发现了一些可能有用的细节。在第二种情况下，新的结果会导致该阶段的更简单的解决方案。本文的结果适用于一维相位恢复问题。用本文所述的方法可以对更重要的二维问题进行推广。
The use of the term differential intensity measurements implies that two or more intensity measurements are made, with a slight change in a parameter of the measurement-taking system between measurements. For example, the position of the focal plane or the transmission of the aperture might be changed. In either of these cases it is possible to find a closed-form solution to the phase-retrieval problem, as opposed to the usual iterative solution. The first case corresponds to a quadratic phase shift in the unknown phase and has been studied previously by several authors. This examination of the problem leads to the discovery of some details that may be useful. In the second case a new result leads to a simpler solution for the phase. The results in this paper apply to the one-dimensional phase-retrieval problem. An extension to the more important two-dimensional problem can be made by means described in this paper.