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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 36 — Dec. 20, 2010
  • pp: 6924–6929

Orthonormal aberration polynomials for anamorphic optical imaging systems with rectangular pupils

Virendra N. Mahajan  »View Author Affiliations


Applied Optics, Vol. 49, Issue 36, pp. 6924-6929 (2010)
http://dx.doi.org/10.1364/AO.49.006924


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Abstract

The classical aberrations of an anamorphic optical imaging system, representing the terms of a power-series expansion of its aberration function, are separable in the Cartesian coordinates of a point on its pupil. We discuss the balancing of a classical aberration of a certain order with one or more such aberrations of lower order to minimize its variance across a rectangular pupil of such a system. We show that the balanced aberrations are the products of two Legendre polynomials, one for each of the two Cartesian coordinates of the pupil point. The compound Legendre polynomials are orthogonal across a rectangular pupil and, like the classical aberrations, are inherently separable in the Cartesian coordinates of the pupil point. They are different from the balanced aberrations and the corresponding orthogonal polynomials for a system with rotational symmetry but a rectangular pupil.

© 2010 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:
Imaging Systems

History
Original Manuscript: October 7, 2010
Manuscript Accepted: October 15, 2010
Published: December 15, 2010

Citation
Virendra N. Mahajan, "Orthonormal aberration polynomials for anamorphic optical imaging systems with rectangular pupils," Appl. Opt. 49, 6924-6929 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-36-6924

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