Euclidean matrix norm algorithm for simultaneous dual-wavelength phase-shifting interferometry with blind phase shifts

Xu Yuanyuan; Shen Qibao; Liang Yu; Xue Shuangshuang; Wang Yawei; Zhu Shining

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Euclidean matrix norm algorithm for simultaneous dual-wavelength phase-shifting interferometry with blind phase shifts

机译：具有盲相移的同时双波长相移干涉法的欧几里德矩阵规范算法

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In this study, a simultaneous dual-wavelength phase-shifting interferometry system using two reference arms was built, and a simple phase retrieval method for the system with blind phase shifts was proposed using five phase-shifted interferograms. First, the unknown phase shifts were controlled independently to separate the information of single wavelength, which can be calculated directly by using the Euclidean matrix norm algorithm. Second, a wrapped phase of a single wavelength was obtained using a three-step phase-shifting algorithm. Finally, a continuous phase of a synthetic wavelength was obtained. The simulation and experimental results indicated the feasibility and greater accuracy of the proposed method. Moreover, the strict requirement of the phase shifter was eliminated because of the use of arbitrary and unknown phase shifts, thereby making experimental operation easier. (C) 2019 Optical Society of America

机译：在该研究中，建立了一种使用两个参考臂的同时双波长相移干涉系统，并且使用五个相移干扰图提出了具有盲相移的系统的简单相位检索方法。首先，独立地控制未知相移，以分离单波长的信息，可以通过使用欧几里德矩阵规范算法直接计算。其次，使用三步相移算法获得单个波长的包裹阶段。最后，获得了合成波长的连续相。模拟和实验结果表明了所提出的方法的可行性和更高的准确性。此外，由于使用任意和未知的相移，因此消除了相移器的严格要求，从而使实验操作更容易。（c）2019年光学学会

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来源
《Applied optics》 |2019年第35期|共6页
作者
Xu Yuanyuan; Shen Qibao; Liang Yu; Xue Shuangshuang; Wang Yawei; Zhu Shining;
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Nanjing Univ Sch Phys Nanjing 210093 Jiangsu Peoples R China;

Jiangsu Univ Fac Sci Zhenjiang 212013 Jiangsu Peoples R China;

Jiangsu Univ Fac Sci Zhenjiang 212013 Jiangsu Peoples R China;

Jiangsu Univ Fac Sci Zhenjiang 212013 Jiangsu Peoples R China;

Jiangsu Univ Fac Sci Zhenjiang 212013 Jiangsu Peoples R China;

Nanjing Univ Sch Phys Nanjing 210093 Jiangsu Peoples R China;

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正文语种 eng
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Euclidean matrix norm algorithm for simultaneous dual-wavelength phase-shifting interferometry with blind phase shifts

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