Frank Johannes, Altmeyer Stefan, Wernicke Guenther
Institute of Applied Optics and Electronics, Cologne University of Applied Sciences, Betzdorfer Strasse 2, 50679 Cologne, Germany.
J Opt Soc Am A Opt Image Sci Vis. 2010 Oct 1;27(10):2244-51. doi: 10.1364/JOSAA.27.002244.
In this paper a non-interferometric, non-iterative method for phase retrieval by Green's functions is presented. The theory is based on the parabolic wave equation that describes propagation of light in the Fresnel approximation in homogeneous media. Green's first identity will be used to derive an algorithm for phase retrieval considering different boundary conditions. Finally it will be shown that a commonly used solution of the transport-of-intensity equation can be obtained as a special case of the more general Green's function formulation derived here.
本文提出了一种基于格林函数的非干涉、非迭代相位恢复方法。该理论基于抛物型波动方程，该方程描述了光在均匀介质中菲涅耳近似下的传播。格林第一恒等式将用于推导考虑不同边界条件的相位恢复算法。最后将表明，强度传输方程的常用解可以作为这里推导的更一般格林函数公式的特殊情况得到。
