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Algorithm immune to tilt phase-shifting error for phase-shifting interferometers

机译:移相干涉仪不受倾斜相移误差影响的算法

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摘要

As a phase shifter usually suffers from both translational and tilt-shift errors during shifting, so every pixel in the same interferogram will have a different phase-shift value. Thus nonlinear phase-measurement errors cannot be avoided, but even translational-shift error has been corrected effectively However, based on the fact that the shifted phases of all the pixels in the same interferogram remain on the phase-shift plane, by defining this plane one can eliminate a significant number of phase errors. A new algorithm that is immune to both translational- and tilt-shift errors in a phase shifter for phase-stepping interferometers is presented. A first-order Taylor series expansion replaces the nonlinear equations for defining the phase-shift plane, and iteration of the algorithm guarantees its accuracy. Results of a computer simulation show that phase-measurement errors caused by both translation- and tilt-shift error can be compensated for completely, even when the tilt-shift error is not more than ±1%.
机译:由于移相器通常会在平移过程中同时发生平移和倾斜移位误差,因此同一干涉图中的每个像素将具有不同的相移值。因此,无法避免非线性相位测量误差,但即使平移误差也已得到有效校正。但是,基于以下事实:通过定义该平面,同一干涉图中所有像素的相移都保留在相移平面上可以消除大量的相位误差。提出了一种在相移干涉仪的移相器中不受平移和倾斜移位误差影响的新算法。一阶泰勒级数展开式代替了定义相移平面的非线性方程式,并且算法的迭代保证了其准确性。计算机仿真结果表明,即使平移误差不超过±1%,由平移误差和倾斜偏移误差引起的相位测量误差也可以得到完全补偿。

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