Choque Ivan, Padilla Moises, Servin Manuel, Asmad Miguel, Ordones Sotero
J Opt Soc Am A Opt Image Sci Vis. 2020 Apr 1;37(4):614-620. doi: 10.1364/JOSAA.385986.
In this paper, we present new phase-shifting algorithms (PSAs) that suppress the ripple distortions and spurious pistons in phase-shifting interferometry. These phase errors arise when non-uniform phase-shifting interferograms are processed with PSAs that assume uniform phase shifts. By modeling the non-uniform phase shifts as a polynomial of the unperturbed phase-shift value $\omega_0$ω, we show that the conditions for eliminating the ripple distortion and the spurious piston are associated with the $m$mth derivative of the PSA's frequency transfer function (FTF). Thus, we propose an approach to design robust algorithms based on the FTF formalism and we present four ready-to-apply PSAs formulas. Finally, our conclusions are supported by computer simulations.
在本文中，我们提出了新的相移算法（PSA），用于抑制相移干涉测量中的纹波畸变和杂散活塞误差。当使用假设相移均匀的PSA处理非均匀相移干涉图时，就会出现这些相位误差。通过将非均匀相移建模为未受干扰的相移值$\omega_0$ω的多项式，我们表明消除纹波畸变和杂散活塞误差的条件与PSA的频率传递函数（FTF）的$m$阶导数相关。因此，我们提出了一种基于FTF形式主义设计稳健算法的方法，并给出了四个可直接应用的PSA公式。最后，计算机模拟支持了我们的结论。
