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Real-time measurements of phase steps out-of-range (0,2π) by a dynamic self-calibrating generalized phase-shifting algorithm
Optics and Lasers in Engineering ( IF 4.6 ) Pub Date : 2021-01-20 , DOI: 10.1016/j.optlaseng.2021.106543
Juan Carlos Gomez-Conde , Cruz Meneses-Fabian

Recently, a method for measuring phase steps in real-time from a dynamic interferogram within the range (0,2π) has been presented. It was named Dynamic Volume Enclosed by a Surface (DVES) method and was built on a very well known algorithm of type self-calibrating generalized phase-shifting interferometry relied on geometric concept of volume enclosed by a surface (VES), which is enough fast, and accurate. DVES is validated by the properties and conditions given by VES, so a measurement within the range (0,2π) is accepted, and out-of-range is rejected. In this manuscript, we restructure the DVES method to be able of measuring in real-time phase steps out-of-range (0,2π) rad, which is the best of our contributions. Besides, the VES conditions are dropped, except at t=0 when the system is calibrated, and the VES properties are synthesized mathematically to only a control signal, and two equations to correct the measured phase steps automatically when necessary. Finally, an unwrapping algorithm is applied to obtain a continuous curve. It makes the present proposal a very efficient method for real-time measurements without limitations in the phase-steps. The viability of our proposal is done with a numerical simulation, and the verification is carried out by retrieving experimentally a continuous curve of phase steps from a slide respecting to its rotation angle.



中文翻译:

相位步的实时测量超出范围 02π 动态自校准广义相移算法

最近,一种用于从范围内的动态干涉图实时测量相位步进的方法 02π已经提出。它被称为“被表面包围的动态体积”(DVES)方法,并且建立在一个非常著名的类型自校准广义相移干涉测量算法上,该算法依赖于被表面包围的体积的几何概念(VES),该算法足够快,且准确。DVES已通过VES提供的属性和条件进行了验证,因此测量范围在02π被接受,超出范围被拒绝。在此手稿中,我们重构了DVES方法,使其能够实时测量超出范围的相位步长02πrad,这是我们最好的贡献。此外,除Ť=0当对系统进行校准时,将VES特性数学合成为仅一个控制信号,并在必要时自动校正两个方程式以校正测量的相位步长。最后,应用展开算法获得连续曲线。它使本建议书成为实时测量的非常有效的方法,而没有阶段步骤的限制。我们的建议的可行性是通过数值模拟完成的,而验证则是通过实验检索从滑块到其旋转角度的连续相位阶跃曲线来进行的。

更新日期:2021-01-20
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