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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 25 — Sep. 1, 2006
  • pp: 6568–6576

Shack–Hartmann wavefront sensing with elongated sodium laser beacons: centroiding versus matched filtering

Luc Gilles and Brent Ellerbroek  »View Author Affiliations

Applied Optics, Vol. 45, Issue 25, pp. 6568-6576 (2006)

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We describe modeling and simulation results for the Thirty Meter Telescope on the degradation of sodium laser guide star Shack–Hartmann wavefront sensor measurement accuracy that will occur due to the spatial structure and temporal variations of the mesospheric sodium layer. By using a contiguous set of lidar measurements of the sodium profile, the performance of a standard centroid and of a more refined noise-optimal matched filter spot position estimation algorithm is analyzed and compared for a nominal mean signal level equal to 1000 photodetected electrons per subaperture per integration time, as a function of subaperture to laser launch telescope distance and CCD pixel readout noise. Both algorithms are compared in terms of their rms spot position estimation error due to noise, their associated wavefront error when implemented on the Thirty Meter Telescope facility adaptive optics system, their linear dynamic range, and their bias when detuned from the current sodium profile.

© 2006 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

Original Manuscript: November 21, 2005
Manuscript Accepted: April 10, 2006

Luc Gilles and Brent Ellerbroek, "Shack-Hartmann wavefront sensing with elongated sodium laser beacons: centroiding versus matched filtering," Appl. Opt. 45, 6568-6576 (2006)

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  1. B. L. Ellerbroek, M. Britton, R. Dekany, D. Gavel, G. Herriot, B. Macintosh, and J. Stoesz, "Adaptive Optics for the Thirty Meter Telescope," in Astronomical Adaptive Optics Systems and Applications II, R. K. Tyson and M. Lloyd-Hart, eds., Proc. SPIE 5903, 20-31 (2005).
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