title: Iterative phase-shifting algorithm immune to random phase shifts and tilts.
abstract: An iterative phase-shifting algorithm based on the least-squares principle is developed to overcome the random piston and tilt wavefront errors generated from the phase shifter. The algorithm iteratively calculates the phase distribution and the phase-shifting map to minimize the sum of squared errors in the interferograms. The performance of the algorithm is evaluated via computer simulations and validated by the Fizeau interferometer measurements. The results show that the proposed algorithm has a fast convergence rate and satisfactory phase-estimation accuracy, improving the measurement precision of the phase-shifting interferometers with significant phase-shifter errors.
authors.affiliation: Department of Optics and Photonics, National Central University, Jhongli 320, Taiwan.
authors.forename: Yi-Chun
authors.initials: YC
authors.lastname: Chen
authors.forename: Po-Chih
authors.initials: PC
authors.lastname: Lin
authors.forename: Chung-Min
authors.initials: CM
authors.lastname: Lee
authors.forename: Chao-Wen
authors.initials: CW
authors.lastname: Liang