Zernike polynomials and their applications

K Niu, C Tian - Journal of Optics, 2022 - iopscience.iop.org
The Zernike polynomials are a complete set of continuous functions orthogonal over a unit
circle. Since first developed by Zernike in 1934, they have been in widespread use in many …

Large aperture diffractive optical telescope: A review

H Zhang, H Liu, W Xu, Z Lu - Optics & Laser Technology, 2020 - Elsevier
Thanks to the recent development in diffractive optical element (DOE) fabrication technique,
large aperture diffractive telescope systems have been tremendously studied to achieve …

Fast demodulation of single-shot interferogram via convolutional neural network

X Liu, Z Yang, J Dou, Z Liu - Optics Communications, 2021 - Elsevier
In this report, a method is proposed to demodulate a single-shot interferogram based on
deep learning using a convolutional neural network (CNN). The time required to demodulate …

Random two-step phase shifting interferometry based on Lissajous ellipse fitting and least squares technologies

Y Zhang, X Tian, R Liang - Optics express, 2018 - opg.optica.org
To accurately obtain the phase distribution of an optical surface under test, the accurate
phase extraction algorithm is essential. To overcome the phase shift error, a random two …

Two-step phase shifting algorithms: where are we?

VH Flores, A Reyes-Figueroa… - Optics & Laser …, 2020 - Elsevier
Two steps phase shifting interferometry has been a hot topic in the recent years. We present
a comparison study of 12 representative self–tunning algorithms based on two-steps phase …

Two-step phase-shifting algorithms with background removal and no background removal

Y Zhang, B Liu, R Liang - Optics and Lasers in Engineering, 2023 - Elsevier
To balance the accuracy and speed of phase reconstruction, two-step phase-shifting
algorithms (TS-PSAs) have been developed. TS-PSAs can be divided into two types, one is …

Phase retrieval for single-frame interferogram with an irregular-shaped aperture based on deep learning

Y Li, X Liu, Z Yang, Z Liu - Optics express, 2023 - opg.optica.org
This paper proposes a high-precision phase retrieval method based on deep learning to
extract the Zernike coefficients from a single-frame interferogram with an irregular-shaped …

Two-frame fringe pattern phase demodulation using Gram-Schmidt orthonormalization with least squares method

H Zhang, H Zhao, Z Zhao, Y Zhuang, C Fan - Optics express, 2019 - opg.optica.org
Gram-Schmidt (GS) orthogonal normalization is a fast and efficient two-frame fringe phase
demodulation method. However, the precision of the GS method is limited due to the …

Precision limit for simultaneous phase and transmittance estimation with phase-shifting interferometry

R Okamoto, T Tahara - Physical Review A, 2021 - APS
The use of phase-shifting interferometry (PSI) in the ultra-low-light region would open the
way for important applications, such as imaging of phototoxic substances and sensing of …

Phase retrieval in two-shot phase-shifting interferometry based on phase shift estimation in a local mask

C Tian, S Liu - Optics express, 2017 - opg.optica.org
Fringe analysis in two-shot phase-shifting interferometry is important but meets challenges
due to a limited number of images, corrupting noise, and background modulation. Here we …