Abstract

Four modal methods of reconstructing a wavefront from its difference fronts based on Zernike polynomials in lateral shearing interferometry are currently available, namely the Rimmer–Wyant method, elliptical orthogonal transformation, numerical orthogonal transformation, and difference Zernike polynomial fitting. The present study compared these four methods by theoretical analysis and numerical experiments. The results show that the difference Zernike polynomial fitting method is superior to the three other methods due to its high accuracy, easy implementation, easy extension to any high order, and applicability to the reconstruction of a wavefront on an aperture of arbitrary shape. Thus, this method is recommended for use in lateral shearing interferometry for wavefront reconstruction.

© 2012 Optical Society of America

Full Article  |  PDF Article
Related Articles
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)

High spatial resolution zonal wavefront reconstruction with improved initial value determination scheme for lateral shearing interferometry

Fengzhao Dai, Feng Tang, Xiangzhao Wang, Osami Sasaki, and Min Zhang
Appl. Opt. 52(17) 3946-3956 (2013)

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)

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 (9)

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

Tables (3)

You do not have subscription access to this journal. Article tables 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 (32)

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