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Theoretical and experimental studies of the decorrelation residuals of the matrix-analysis three flat test

机译:矩阵分析三平检验解相关残差的理论和实验研究

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摘要

A method utilizing matrix analysis has been presented for a full-area three-flat test. With the aid of the Moore-Penrose pseudoinverse of a circulant matrix, a set of closed mathematical formulas has been derived to obtain the absolute profiles of samples. According to the simulation results, the matrix analysis method shows better performances for determining the absolute profiles and suppressing the decorrelation residuals of the reconstructed wavefronts, compared to the iterative method. Three optical flats with 135-mm apertures are measured. The results obtained with the new method agree well with those obtained with the iterative algorithm and the classical three-flat test. Furthermore, the relationship between the decorrelation residual and the wavefront error introduced in the rotation measurement has been studied. Theoretical and experimental results show that the odd-symmetric component contributes significantly to the decorrelation residual.
机译:已经提出了一种利用矩阵分析的方法进行全面积三平试验。借助于循环矩阵的Moore-Penrose伪逆,已经导出了一组封闭的数学公式以获得样本的绝对轮廓。根据仿真结果,与迭代方法相比,矩阵分析方法在确定绝对轮廓和抑制重构波前的去相关残差方面表现出更好的性能。测量了三个具有135 mm孔径的光学平面。用新方法获得的结果与用迭代算法和经典三平检验得到的结果非常吻合。此外,还研究了去相关残差与旋转测量中引入的波前误差之间的关系。理论和实验结果表明,奇对称分量对去相关残差有很大贡献。

著录项

  • 来源
    《Optical engineering》 |2018年第7期|074108.1-074108.10|共10页
  • 作者单位

    Nanjing University of Science and Technology, School of Electronic and Optical Engineering, Nanjing, China,Nanjing University of Science and Technology, MIIT Key Laboratory of Advanced Solid Laser, Nanjing, China;

    Nanjing University of Science and Technology, MIIT Key Laboratory of Advanced Solid Laser, Nanjing, China;

    Nanjing University of Science and Technology, Zijin College, Nanjing, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    interferometry; absolute testing; flatness; decorrelation analysis;

    机译:干涉测量绝对测试;平整度解相关分析;

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