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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 10 — Oct. 1, 2013
  • pp: 1988–1993

Phase wavefront aberration modeling using Zernike and pseudo-Zernike polynomials

Kambiz Rahbar, Karim Faez, and Ebrahim Attaran Kakhki  »View Author Affiliations


JOSA A, Vol. 30, Issue 10, pp. 1988-1993 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001988


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Abstract

Orthogonal polynomials can be used for representing complex surfaces on a specific domain. In optics, Zernike polynomials have widespread applications in testing optical instruments, measuring wavefront distributions, and aberration theory. This orthogonal set on the unit circle has an appropriate matching with the shape of optical system components, such as entrance and exit pupils. The existence of noise in the process of representation estimation of optical surfaces causes a reduction of precision in the process of estimation. Different strategies are developed to manage unwanted noise effects and to preserve the quality of the estimation. This article studies the modeling of phase wavefront aberrations in third-order optics by using a combination of Zernike and pseudo-Zernike polynomials and shows how this combination may increase the robustness of the estimation process of phase wavefront aberration distribution.

© 2013 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(080.1005) Geometric optics : Aberration expansions

ToC Category:
Geometric Optics

History
Original Manuscript: June 18, 2013
Manuscript Accepted: July 30, 2013
Published: September 12, 2013

Citation
Kambiz Rahbar, Karim Faez, and Ebrahim Attaran Kakhki, "Phase wavefront aberration modeling using Zernike and pseudo-Zernike polynomials," J. Opt. Soc. Am. A 30, 1988-1993 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-10-1988

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