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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 6 — Feb. 20, 2013
  • pp: 1136–1147

Orthonormal aberration polynomials for optical systems with circular and annular sector pupils

José Antonio Díaz and Virendra N. Mahajan  »View Author Affiliations


Applied Optics, Vol. 52, Issue 6, pp. 1136-1147 (2013)
http://dx.doi.org/10.1364/AO.52.001136


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Abstract

Using the Zernike circle polynomials as the basis functions, we obtain the orthonormal polynomials for optical systems with circular and annular sector pupils by the Gram–Schmidt orthogonalization process. These polynomials represent balanced aberrations yielding minimum variance of the classical aberrations of rotationally symmetric systems. Use of the polynomials obtained is illustrated with numerical examples.

© 2013 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(110.0110) Imaging systems : Imaging systems
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.1010) Optical design and fabrication : Aberrations (global)

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: November 28, 2012
Manuscript Accepted: December 26, 2012
Published: February 11, 2013

Citation
José Antonio Díaz and Virendra N. Mahajan, "Orthonormal aberration polynomials for optical systems with circular and annular sector pupils," Appl. Opt. 52, 1136-1147 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-6-1136

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