Abstract

We have proposed a virtual quadratic Newton rings phase-shifting moiré-fringes measurement method in a nonnull interferometer to measure the large radius of curvature for a spherical surface. In a quadratic polar coordinate system, linear carrier testing Newton rings interferogram and virtual Newton rings interferogram form the moiré fringes. It is possible to retrieve the wavefront difference data between the testing and standard spherical surface from the moiré fringes after low-pass filtering. Based on the wavefront difference data, we deduced a precise formula to calculate the radius of curvature in the quadratic polar coordinate system. We calculated the retrace error in the nonnull interferometer using the multi-configuration model of the nonnull interferometric system in ZEMAX. Our experimental results indicate that the measurement accuracy is better than 0.18% for a spherical mirror with a radius of curvature of 41,400 mm.

© 2016 Optical Society of America

Virtual interferometer calibration method of a non-null interferometer for freeform surface measurements

Qun Hao, Shaopu Wang, Yao Hu, Hanglin Cheng, Meng Chen, and Tengfei Li
Appl. Opt. 55(35) 9992-10001 (2016)

Nonnull interferometer simulation for aspheric testing based on ray tracing

Chao Tian, Yongying Yang, Tao Wei, and Yongmo Zhuo
Appl. Opt. 50(20) 3559-3569 (2011)

Method for measuring the radius of mean curvature of a spherical surface based on phase measuring deflectometry

Tiexin Hong, Dahai Li, Ruiyang Wang, Xinwei Zhang, and Xiaoxiao Liu
Appl. Opt. 60(6) 1705-1709 (2021)

Laser reflection differential confocal large-radius measurement for concave surfaces

Yang Xiao, Lirong Qiu, and Weiqian Zhao
Appl. Opt. 57(23) 6693-6698 (2018)

Interferometric measurement of the radius of curvature based on axial displacement from a confocal position and corresponding defocus wavefront

Yiming Liu, Jinpeng Li, Yao Hu, Shaohui Zhang, Zichen Wang, Chuheng Xu, Shuai Yang, Weiqian Zhao, and Qun Hao
Appl. Opt. 62(20) 5443-5451 (2023)