Phase shifting interferograms processing for fiber point-diffraction interferometer

Liang Nie, Jun Han, Xun Yu, B. Liu, Xu Jiang, Fang Wang
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Abstract

To characterize the spherical surface of extreme ultraviolet (EUV), the fiber phase shifting point-diffraction interferometer (FPS/PDI) has recently been designed and implemented. The diffraction wavefront from an optical fiber acts as the perfect referenced spherical wave and new-style interferometer configuration is used. The laboratory apparatus has been put up to measure spherical surface in experiment. The main content of this paper is the key technique of FPS/PDI about the method of interference image processing and the precision analysis for the interferometer. In experiment apparatus, a concave spherical surface is measured and a piezoelectric ceramics (PZT) is used for phase shifting. The wrap phase distribution is got by five-step phase shifting method, and then the unweighted least-squares phase unwrapping algorithm is optimized and used to obtain the unwrapped phase distribution. The error of spherical figure is derived from the fitting method of Zernike polynomials. The data processing result is analyzed in comparison with the measurement result of ZYGO interferometer. The repeat precision of the FPS/PDI is evaluated by multimeasurement. Finally, the major error sources are discussed and some optimized methods for the system are proposed.The results show that the interferometer has achieved worthy measurement precision and has great development potential.
光纤点衍射干涉仪相移干涉图处理
为了对极紫外(EUV)的球面进行测量,设计并实现了光纤移相点衍射干涉仪(FPS/PDI)。采用光纤衍射波前作为理想参考球面波,采用新型干涉仪结构。在实验中,建立了测量球面的实验装置。本文的主要内容是FPS/PDI的关键技术,即干涉图像处理方法和干涉仪的精度分析。在实验装置中,测量了一个凹球面,并使用压电陶瓷(PZT)进行相移。采用五步移相法得到包裹相位分布,然后对非加权最小二乘相位展开算法进行优化,得到包裹相位分布。利用泽尼克多项式的拟合方法推导了球面图形的误差。将数据处理结果与ZYGO干涉仪的测量结果进行了对比分析。通过多次测量对FPS/PDI的重复精度进行了评价。最后,讨论了系统的主要误差源,并提出了系统的优化方法。结果表明,该干涉仪达到了一定的测量精度,具有很大的发展潜力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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