Xue Bindang, Zheng Shiling, Cui Linyan, Bai Xiangzhi, Zhou Fugen
School of Astronautics, Beihang University, Beijing 100191, China.
Opt Express. 2011 Oct 10;19(21):20244-50. doi: 10.1364/OE.19.020244.
A method based on the transport of intensity equation (TIE) for phase retrieval is presented, which can retrieve the optical phase from intensity measurements in multiple unequally-spaced planes in the near-field region. In this method, the intensity derivative in the TIE is represented by a linear combination of intensity measurements, and the coefficient of the combination can be expressed by explicitly analytical form related to the defocused distances. The proposed formula is a generalization of the TIE with high order intensity derivatives. The numerical experiments demonstrate that the proposed method can improve the accuracy of phase retrieval with higher-order intensity derivatives and is more convenient for practical application.
提出了一种基于强度传输方程（TIE）的相位恢复方法，该方法可以从近场区域多个不等间距平面的强度测量中恢复光学相位。在该方法中，TIE中的强度导数由强度测量的线性组合表示，并且该组合的系数可以用与离焦距离相关的显式解析形式表示。所提出的公式是具有高阶强度导数的TIE的推广。数值实验表明，该方法可以提高高阶强度导数相位恢复的精度，并且更便于实际应用。
