Abstract

We recently introduced matched filtering in the context of astronomical Shack–Hartmann wavefront sensing with elongated sodium laser beacons [Appl. Opt. 45, 6568 (2006) ]. Detailed wave optics Monte Carlo simulations implementing this technique for the Thirty Meter Telescope dual conjugate adaptive optics system have, however, revealed frequent bursts of degraded closed loop residual wavefront error [Proc. SPIE 6272, 627236 (2006) ]. The origin of this problem is shown to be related to laser guide star jitter on the sky that kicks the filter out of its linear dynamic range, which leads to bursts of nonlinearities that are reconstructed into higher-order wavefront aberrations, particularly coma and trifoil for radially elongated subaperture spots. An elegant reformulation of the algorithm is proposed to extend its dynamic range using a set of linear constraints while preserving its improved noise rejection and Monte Carlo performance results are reported that confirm the benefits of the method.

© 2008 Optical Society of America

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

Luc Gilles and Brent Ellerbroek
Appl. Opt. 45(25) 6568-6576 (2006)

Adaptive cross-correlation algorithm for extended scene Shack-Hartmann wavefront sensing

Erkin Sidick, Joseph J. Green, Rhonda M. Morgan, Catherine M. Ohara, and David C. Redding
Opt. Lett. 33(3) 213-215 (2008)

Gram–Charlier matched filter for Shack–Hartmann sensing at low light levels

J.-M. Ruggiu, C. J. Solomon, and G. Loos
Opt. Lett. 23(4) 235-237 (1998)

Intrinsic limitations of Shack–Hartmann wavefront sensing on an extended laser guide source

Damien Gratadour, Eric Gendron, and Gérard Rousset
J. Opt. Soc. Am. A 27(11) A171-A181 (2010)

Effect of anisoplanatism on the measurement accuracy of an extended-source Hartmann-Shack wavefront sensor

Friedrich Wöger and Thomas Rimmele
Appl. Opt. 48(1) A35-A46 (2009)