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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 35 — Dec. 10, 2012
  • pp: 8490–8497

Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration

Sundus Y. Hasan and Ali S. Shaker  »View Author Affiliations


Applied Optics, Vol. 51, Issue 35, pp. 8490-8497 (2012)
http://dx.doi.org/10.1364/AO.51.008490


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Abstract

In this research, Zernike polynomials for a unit annular elliptical aperture (ellipse inscribed by a unit circle of unit radius obscured by elliptical obscuration) have been studied in Cartesian coordinates and in polar coordinates. These polynomials have been shown to form a complete basis orthogonal on a unit annular ellipse aperture, and they represent balanced classical aberrations just as Zernike circular polynomials in a unit circle.

© 2012 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(110.1220) Imaging systems : Apertures
(220.4840) Optical design and fabrication : Testing

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 13, 2012
Revised Manuscript: October 9, 2012
Manuscript Accepted: November 1, 2012
Published: December 10, 2012

Citation
Sundus Y. Hasan and Ali S. Shaker, "Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration," Appl. Opt. 51, 8490-8497 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-35-8490

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