Abstract

This paper proposes a robust, simple zonal wavefront-estimation method in a grid sampling model. More slopes are added to the integral equation of the algorithm to improve the accuracy and convergence rate of this approach, especially for higher-order optical aberrations. The Taylor theorem is applied to clarify the mathematical description of the remaining error in the proposed method. Several numerical simulations are conducted to ensure the performance and improvement in comparison to the Southwell and previous algorithm. An experiment is also conducted according to deflectometry output and the results are verified using a reference measured with a stylus system.

© 2022 Optical Society of Korea

Improving wavefront reconstruction accuracy by using integration equations with higher-order truncation errors in the Southwell geometry

Guanghui Li, Yanqiu Li, Ke Liu, Xu Ma, and Hai Wang
J. Opt. Soc. Am. A 30(7) 1448-1459 (2013)

Improved zonal integration method for high accurate surface reconstruction in quantitative deflectometry

Mengyang Li, Dahai Li, Chengying Jin, Kewei E, Xiaodong Yuan, Zhao Xiong, and Qionghua Wang
Appl. Opt. 56(13) F144-F151 (2017)

Improvement in error propagation in the Shack–Hartmann-type zonal wavefront sensors

Biswajit Pathak and Bosanta R. Boruah
J. Opt. Soc. Am. A 34(12) 2194-2202 (2017)

Zonal wavefront reconstruction in quadrilateral geometry for phase measuring deflectometry

Lei Huang, Junpeng Xue, Bo Gao, Chao Zuo, and Mourad Idir
Appl. Opt. 56(18) 5139-5144 (2017)

Weighted spline based integration for reconstruction of freeform wavefront

Kamal K. Pant, Dali R. Burada, Mohamed Bichra, Amitava Ghosh, Gufran S. Khan, Stefan Sinzinger, and Chandra Shakher
Appl. Opt. 57(5) 1100-1109 (2018)