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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 10 — Apr. 1, 2014
  • pp: 2051–2057

Orthonormal polynomials for elliptical wavefronts with an arbitrary orientation

José A. Díaz and Rafael Navarro  »View Author Affiliations

Applied Optics, Vol. 53, Issue 10, pp. 2051-2057 (2014)

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We generalize the analytical form of the orthonormal elliptical polynomials for any arbitrary aspect ratio to arbitrary orientation and give expression for them up to the 4th order. The utility of the polynomials is demonstrated by obtaining the expansion up to the 8th order in two examples of an off-axis wavefront exiting from an optical system with a vignetted pupil.

© 2014 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

Original Manuscript: December 17, 2013
Revised Manuscript: February 17, 2014
Manuscript Accepted: February 18, 2014
Published: March 25, 2014

José A. Díaz and Rafael Navarro, "Orthonormal polynomials for elliptical wavefronts with an arbitrary orientation," Appl. Opt. 53, 2051-2057 (2014)

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