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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 12 — Dec. 1, 2007
  • pp: 3700–3707

Characteristic functions of Hartmann–Shack wavefront sensors and laser-ray-tracing aberrometers

Salvador Bará  »View Author Affiliations

JOSA A, Vol. 24, Issue 12, pp. 3700-3707 (2007)

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It is shown that the aberration estimated at any point of the pupil using wavefront slope aberrometers such as Hartmann–Shack wavefront sensors or laser ray tracers is a spatial average of the actual aberration weighted by a characteristic function that depends on the aberrometer design and on the estimation procedure. This characteristic function, whose explicit form is given here for wavefront slope aberrometers using either modal or zonal estimators, may be useful in analyzing some basic aspects of the aberrometer performance. It is also instrumental in establishing the links between the statistical properties of the actual and the estimated aberrations. Explicit formulas are given to show in terms of this function how the bias arises in the first- and second-order statistics of the retrieved aberrations. This approach is mathematically equivalent to the analysis of the effects of modal coupling (cross-coupling and aliasing). It may provide, however, some complementary insight.

© 2007 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(330.4300) Vision, color, and visual optics : Vision system - noninvasive assessment
(330.5370) Vision, color, and visual optics : Physiological optics
(330.7310) Vision, color, and visual optics : Vision

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: March 5, 2007
Revised Manuscript: August 10, 2007
Manuscript Accepted: September 16, 2007
Published: November 14, 2007

Virtual Issues
Vol. 3, Iss. 1 Virtual Journal for Biomedical Optics

Salvador Bará, "Characteristic functions of Hartmann-Shack wavefront sensors and laser-ray-tracing aberrometers," J. Opt. Soc. Am. A 24, 3700-3707 (2007)

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