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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 21 — Jul. 20, 2012
  • pp: 5028–5037

Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry: comparisons of existing algorithms

Fengzhao Dai, Feng Tang, Xiangzhao Wang, Osami Sasaki, and Peng Feng  »View Author Affiliations


Applied Optics, Vol. 51, Issue 21, pp. 5028-5037 (2012)
http://dx.doi.org/10.1364/AO.51.005028


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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

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 6, 2012
Revised Manuscript: June 4, 2012
Manuscript Accepted: June 12, 2012
Published: July 11, 2012

Citation
Fengzhao Dai, Feng Tang, Xiangzhao Wang, Osami Sasaki, and Peng Feng, "Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry: comparisons of existing algorithms," Appl. Opt. 51, 5028-5037 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-21-5028

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