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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 13 — May. 1, 1997
  • pp: 2788–2790

Zernike polynomials as a basis for wave-front fitting in lateral shearing interferometry

Hedser van Brug  »View Author Affiliations


Applied Optics, Vol. 36, Issue 13, pp. 2788-2790 (1997)
http://dx.doi.org/10.1364/AO.36.002788


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Abstract

A new method for handling Zernike polynomials is presented. Owing to its efficiency, this method enables the use of Zernike polynomials as a basis for wave-front fitting in shearography systems. An excerpt of a C++ class is presented to show how the polynomials are calculated and represented in computer memory.

© 1997 Optical Society of America

History
Original Manuscript: April 11, 1996
Revised Manuscript: September 3, 1996
Published: May 1, 1997

Citation
Hedser van Brug, "Zernike polynomials as a basis for wave-front fitting in lateral shearing interferometry," Appl. Opt. 36, 2788-2790 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-13-2788


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References

  1. W. Swantner, W. W. Chow, “Gram–Schmidt orthonormalization of Zernike polynomials for general aperture shapes,” Appl. Opt. 33, 1832–1837 (1994). [CrossRef] [PubMed]
  2. M. P. Rimmer, J. C. Wyant, “Evaluation of large aberrations using a lateral-shear interferometer having variable shear,” Appl. Opt. 14, 142–150 (1975). [CrossRef] [PubMed]
  3. M. Carpio, D. Malacara, “Closed Cartesian representation of the Zernike polynomials,” Opt. Commun. 110, 514–516 (1994). [CrossRef]
  4. D. Malacara, ed., Optical Shop Testing, 2nd ed., Wiley Series in Pure and Applied Optics (Wiley, New York, 1992), Eqs. (13.26)–(13.27), p. 466.
  5. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1995), Secs. 2.6, 15.4.
  6. A full listing of the CZernike class plus a listing of a sample program can be obtained from the author.

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