论文标题

单个射击干涉图的简单阶段检索算法

A Simple Phase Retrieval Algorithm from a Single Shot Interferogram

论文作者

Hu, Lifa, Shena, Wen, Ma, Wenchao, Hu, Dongting, Liu, Xinyu

论文摘要

传统的相移干涉测量技术不能用于测量随时间变化的相分布。但是单射击技术可以解决问题。通过单个射击干涉图,已经在相位检索方法上做出了许多努力。在本文中,提出了一种简单有效的方法,没有复杂的计算。干扰条纹将带有查找桌的相分布转移到相位分布中。然后根据每个像素的奇偶校验将其分为不同的区域。同一区域中的像素具有相同的奇偶校验,这决定了包装相。此外,还获得了局部波前的光点位移,以解决全局符号歧义。理论仿真结果表明,波前误差的PV为0.00054(lambda),RMS为0.000125(lambda),这比快速傅立叶变换方法的结果要好得多。我们还将其用于实验测量的干涉图中。我们的算法具有简单性,高精度和有效的优势,可用于开放和封闭的干涉仪条纹,这对于实时监视处理过程中的光学元素形状非常有价值。

Traditional phase-shifting interferometry technique cannot be used to measure time-varying phase distributions. But single shot techniques could resolve the problem. Many efforts have been made on the phase retrieval methods from a single shot interferogram. In the paper, a simple and effective method is presented without complex computation. The interference fringe is transferred to a phase distribution with a look-up-table. And then it is divided into different regions according to the parity of every pixel. The pixels in the same region have the same parity, which determines the wrapped phase. Additionally, the light spot displacement of a local wavefront is obtained to solve the global sign ambiguity. The theoretical simulation results indicate that the PV of wavefront error is 0.00054(lambda) and the rms is 0.000125(lambda), which is much better than the results from the Fast Fourier Transformation method. We also use it in the experimentally measured interferogram. Our algorithm has the advantages of simplicity, high precision and effective for both open and closed interferometer fringes, which will be valuable for real time monitoring the optical elements shape during their processing.

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