Design and assessment of phase-shifting algorithms in optical interferometer

S Kim, J Jeon, Y Kim, N Sugita, M Mitsuishi - International Journal of …, 2023 - Springer
Silicon wafers and transparent glass plates are major components in the semiconductor
industry. In semiconductor devices, the surface shape and optical thickness of the wafers …

Simple, flexible, and accurate phase retrieval method for generalized phase-shifting interferometry

K Yatabe, K Ishikawa, Y Oikawa - Journal of the Optical Society of …, 2016 - opg.optica.org
This paper presents a non-iterative phase retrieval method from randomly phase-shifted
fringe images. By combining the hyperaccurate least squares ellipse fitting method with the …

Efficient half-period phase histogram equalization for general phase-shifting algorithms with phase shift errors

Y Wang, H Zhu, Y Wang, X Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Phase-shifting algorithms are widely used for optical metrology that extract the phase from
several fringe patterns with phase shifts. However, accurate phase shifts are always the …

Hyper ellipse fitting in subspace method for phase-shifting interferometry: practical implementation with automatic pixel selection

K Yatabe, K Ishikawa, Y Oikawa - Optics Express, 2017 - opg.optica.org
This paper presents a method of significantly improving the previously proposed simple,
flexible, and accurate phase retrieval algorithm for the random phase-shifting interferometry …

Iteratively correcting algorithm for suppressing temporal variations in phase-shifting interferometry

S Ordones, JL Flores, R Su - Optics and Lasers in Engineering, 2025 - Elsevier
In this paper, we introduce an iterative correcting algorithm for phase demodulation in
optical metrology via phase-shifting interferometry. The scheme can effectively cope with …

Simultaneous extraction of phase and phase shift from two interferograms using Lissajous figure and ellipse fitting technology with Hilbert–Huang prefiltering

F Liu, J Wang, Y Wu, F Wu, M Trusiak… - Journal of …, 2016 - iopscience.iop.org
This paper presents a novel method to extract the phase shift and phase distribution from
two interferograms simultaneously. By employing Hilbert–Huang transform based …

Universal phase-shifting algorithm (UPSA) for nonuniform phase-step demodulation and null-testing criterion for phase accuracy gauging

M Servin, M Padilla, G Paez, G Garnica - Optics and Lasers in Engineering, 2022 - Elsevier
We propose a non-iterative, universal phase-shifting algorithm (UPSA) for phase-
demodulation regardless if the phase steps are linear, nonuniform, or even unknown …

Phase extraction from interferograms with unknown tilt phase shifts based on a regularized optical flow method

F Zeng, Q Tan, H Gu, G Jin - Optics express, 2013 - opg.optica.org
A novel method is presented to extract phase distribution from phase-shifted interferograms
with unknown tilt phase shifts. The proposed method can estimate the tilt phase shift …

Generalized phase-shifting algorithm for inhomogeneous phase shift and spatio-temporal fringe visibility variation

R Juarez-Salazar, C Robledo-Sanchez… - Optics …, 2014 - opg.optica.org
A cascade least-squares scheme for wrapped phase extraction using two or more phase-
shifted fringe-patterns with unknown and inhomogeneous surface phase shift is proposed …

Theory and algorithms of an efficient fringe analysis technology for automatic measurement applications

R Juarez-Salazar, F Guerrero-Sanchez… - Applied Optics, 2015 - opg.optica.org
Some advances in fringe analysis technology for phase computing are presented. A full
scheme for phase evaluation, applicable to automatic applications, is proposed. The …