Abstract

Several wavefront sensing techniques provide direct or indirect measurements of the wavefront error gradient, for example the Shack–Hartmann sensor, the Foucault knife-edge test, shearing interferometry, and many others. We developed and tested a noniterative method to reconstruct the wavefront error from its gradient. The method is based on the projection of the measured gradients onto a basis derived from multiple directional derivatives that have been combined into an intermediate set of orthogonal functions. To reduce errors that arise from linear approximations, the intermediate functions can be calculated with parameters that match the known experimental conditions. This method can be implemented using any convenient set of smooth polynomials defined on a two-dimensional domain, and it is not computationally intensive. In this paper we describe the method in detail, provide an example of a possible implementation, and discuss the effect that random noise in the measured gradient has on the reconstruction.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Modal wavefront estimation from its slopes by numerical orthogonal transformation method over general shaped aperture

Jingfei Ye, Wei Wang, Zhishan Gao, Zhiying Liu, Shuai Wang, Pablo Benítez, Juan C. Miñano, and Qun Yuan
Opt. Express 23(20) 26208-26220 (2015)

Comparative assessment of orthogonal polynomials for wavefront reconstruction over the square aperture

Jingfei Ye, Zhishan Gao, Shuai Wang, Jinlong Cheng, Wei Wang, and Wenqing Sun
J. Opt. Soc. Am. A 31(10) 2304-2311 (2014)

Use of numerical orthogonal transformation for the Zernike analysis of lateral shearing interferograms

Fengzhao Dai, Feng Tang, Xiangzhao Wang, Peng Feng, and Osami Sasaki
Opt. Express 20(2) 1530-1544 (2012)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (13)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription