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New algorithm insensitive to both translational and tilt phase-shifting error for phase-shifting interferometry

机译:对相移干涉测量法的平移和倾斜相移误差不敏感的新算法

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In phase-shifting interferometry, a phase shifter usually has tilt shift error along with translational shift error during shifting. The pixels on the same interferogram can not be shifted by an equal amount. Thus the phase measurement errors can not be avoided, even when the translational shift error has been corrected effectively. However, based on the fact that phase shifts of all the pixels on the same interferogram are still kept on the phase shift plane. So by solving this plane the phase errors can be eliminated significantly. In this paper, a new algorithm insensitive to both the translational and tilt shift errors of a phase shifter for phase-stepping interferometers is presented. The first order Taylor series expansion replaces the nonlinear equations in solving the phase shift plane, and by iterative, the accuracy can be guarantied. The simulative and experimental results show that phase measurement errors caused by both translation and tilt shift-error can be compensated significantly.
机译:在相移干涉法中,相移器通常具有倾斜移位误差以及在移位期间的平移变换误差。相同干涉图上的像素不能通过等量移动。因此,即使在有效地校正平移换档误差时,也无法避免相位测量误差。然而,基于相同干涉图上所有像素的相移仍然保持在相移平面上。因此,通过求解该平面,可以显着消除相位误差。在本文中,呈现了一种对阶段移位器的平移和倾斜移位误差不敏感的新算法,用于相移干涉器的转移器。第一阶泰勒型扩展替换了求解相移平面的非线性方程,并通过迭代,可以保证精度。模拟和实验结果表明,由平移和倾斜移位误差引起的相位测量误差可以显着补偿。

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