An advanced phase-tilt iteration method is proposed for accurate and robust phase extraction from the interferograms with random tilt shift. The method constructs a system of linear equations about the tilt parameters via the spatial vector transform-based decoupling, and then establishes a least-squares alternate optimization. Using the two steps of initial estimation and fine iteration in the orthogonal one-dimensional interference intensity, the phase distribution is extracted with high accuracy and robustness. The simulations and experiments verify the high performance of the proposed method. It is promised to provide a high-accuracy and low-cost solution for temporal phase-shifting interferometers in the vibrating environment without modifying the optical hardware.

提出了一种先进的相位-倾斜迭代方法，用于从具有随机倾斜位移的干涉图中精确而鲁棒地提取相位。该方法通过基于空间矢量变换的解耦构建关于倾斜参数的线性方程组，然后建立最小二乘交替优化。使用正交一维干扰强度中的初始估计和精细迭代这两个步骤，可以高精度和鲁棒性地提取相位分布。仿真和实验验证了该方法的高性能。有望为振动环境中的时间相移干涉仪提供一种高精度，低成本的解决方案，而无需修改光学硬件。