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首页> 外文期刊>Optical engineering >Phase analysis error reduction in the Fourier transform method using a virtual interferogram
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Phase analysis error reduction in the Fourier transform method using a virtual interferogram

机译：使用虚拟干涉图的傅里叶变换方法中的相位分​​析误差减少

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摘要

We propose a method for reducing artifactual phase errors inherent to the Fourier transform method (FTM) for fringe analysis. The phase obtained by the FTM is subject to ripple errors at the boundary edges of the fringe pattern where fringes become discontinuous. We note that these artifactual phase errors are found to have certain systematic relations to the form of the phase, amplitude, and background intensity distributions, which can be modeled by low-order polynomials, such as Zernike polynomials, in many cases of practical interest. Based on this observation, we estimate the systematic ripple errors by analyzing a virtual interferogram that is numerically created for a fringe model with known phase, amplitude, and background intensity distributions. Starting from a rough initial guess, the virtual interferogram is sequentially improved by an iterative algorithm, and the estimated errors are finally subtracted from the experimental data. We present the results of simulations and experiments that demonstrate the validity of the proposed method.
机译：我们提出了一种减少条纹分析的傅里叶变换方法（FTM）固有的人为相位误差的方法。由FTM获得的相位在条纹变得不连续的条纹图案的边界边缘处遭受波纹误差。我们注意到，发现这些人为相位误差与相位，幅度和背景强度分布的形式具有一定的系统关系，在许多实际应用中，可以通过低阶多项式（例如Zernike多项式）来建模。基于此观察，我们通过分析虚拟干涉图来估计系统纹波误差，该虚拟干涉图是为具有已知相位，幅度和背景强度分布的条纹模型数值创建的。从粗略的初始猜测开始，通过迭代算法依次改善虚拟干涉图，最后从实验数据中减去估计的误差。我们提出的仿真和实验结果证明了该方法的有效性。

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