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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 801–807

Error propagation: a comparison of Shack–Hartmann and curvature sensors

Aglaé N. Kellerer and Albrecht M. Kellerer  »View Author Affiliations


JOSA A, Vol. 28, Issue 5, pp. 801-807 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000801


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Abstract

Phase estimates in adaptive-optics systems are computed by use of wavefront sensors, such as Shack–Hartmann or curvature sensors. In either case, the standard error of the phase estimates is proportional to the standard error of the measurements; but the error-propagation factors are different. We calculate the ratio of these factors for curvature and Shack–Hartmann sensors in dependence on the number of sensors, n, on a circular aperture. If the sensor spacing is kept constant and the pupil is enlarged, the ratio increases as n0.4. When more sensing elements are accommodated on the same aperture, it increases even faster, namely, proportional to n0.8. With large numbers of sensing elements, this increase can limit the applicability of curvature sensors.

© 2011 Optical Society of America

OCIS Codes
(110.0115) Imaging systems : Imaging through turbulent media
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: January 5, 2011
Manuscript Accepted: February 15, 2011
Published: April 18, 2011

Virtual Issues
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Aglaé N. Kellerer and Albrecht M. Kellerer, "Error propagation: a comparison of Shack–Hartmann and curvature sensors," J. Opt. Soc. Am. A 28, 801-807 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-5-801

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