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Two-step phase-shift interferometry with known but arbitrary reference waves: a graphical interpretation

机译:具有已知但任意参考波的两步相移干涉术:图形解释

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摘要

There are many applications in biology and metrology where it is important to be able to measure both the amplitude and phase of an optical wave field. There are several different techniques for making this type of measurement, including digital holography and phase retrieval methods. In this paper we propose an analytical generalization of this two-step phase-shifting algorithm. We investigate how to reconstruct the object signal if both reference waves are different in phase and amplitude. The resulting equations produce two different solutions and hence an ambiguity remains as to the correct solution. Because of the complexity of the generalized analytical expressions we propose a graphical-vectorial method for solution of this ambiguity problem. Combining our graphical method with a constraint on the amplitude of the object field we can unambiguously determine the correct result. The results of the simulation are presented and discussed.
机译:在生物学和计量学中有许多应用程序,其中重要的是能够测量光波场的幅度和相位。有几种不同的技术可以进行这种类型的测量,包括数字全息术和相位检索方法。在本文中,我们提出了对此两步相移算法的解析概括。我们研究如果两个参考波的相位和幅度都不同,则如何重建目标信号。所得方程产生两个不同的解,因此对于正确的解仍然存在歧义。由于广义分析表达式的复杂性,我们提出了一种图形矢量方法来解决该歧义问题。将我们的图形方法与对物场振幅的约束相结合,我们可以明确地确定正确的结果。给出并讨论了仿真结果。

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