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Optics Letters

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  • Vol. 36, Iss. 16 — Aug. 15, 2011
  • pp: 3076–3078

Scaling pseudo-Zernike expansion coefficients to different pupil sizes

Jim Schwiegerling  »View Author Affiliations


Optics Letters, Vol. 36, Issue 16, pp. 3076-3078 (2011)
http://dx.doi.org/10.1364/OL.36.003076


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Abstract

Orthogonal polynomials are routinely used to represent complex surfaces over a specified domain. In optics, Zernike polynomials have found wide application in optical testing, wavefront sensing, and aberration theory. This set is orthogonal over the continuous unit circle matching the typical shape of optical components and pupils. A variety of techniques has been developed to scale Zernike expansion coefficients to concentric circular subregions to mimic, for example, stopping down the aperture size of an optical system. Here, similar techniques are used to rescale the expansion coefficients to new pupil sizes for a related orthogonal set: the pseudo-Zernike polynomials.

© 2011 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(220.1010) Optical design and fabrication : Aberrations (global)

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 25, 2011
Revised Manuscript: July 11, 2011
Manuscript Accepted: July 12, 2011
Published: August 8, 2011

Citation
Jim Schwiegerling, "Scaling pseudo-Zernike expansion coefficients to different pupil sizes," Opt. Lett. 36, 3076-3078 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-16-3076


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