Abstract

We recently introduced the Kaczmarz algorithm for solving the atmospheric tomography problem in multiconjugate adaptive optics (MCAO). This iterative method solves the problem significantly faster than the standard matrix vector multiplication. We present the algorithm as well as an extension, which includes the effects of laser guide stars, such as the cone effect, tip/tilt indetermination, and spot elongation. We show that we can successfully cope with these effects and that the algorithm is suited for an MCAO system for the future generation of extremely large telescopes.

© 2013 Optical Society of America

Increased sky coverage with optimal correction of tilt and tilt-anisoplanatism modes in laser-guide-star multiconjugate adaptive optics

Carlos Correia, Jean-Pierre Véran, Glen Herriot, Brent Ellerbroek, Lianqi Wang, and Luc Gilles
J. Opt. Soc. Am. A 30(4) 604-615 (2013)

Tip–tilt reconstruction with a single dim natural guide star in multiconjugate adaptive optics with laser guide stars

Bruno Femenía
J. Opt. Soc. Am. A 22(12) 2719-2729 (2005)

Methods for correcting tilt anisoplanatism in laser-guide-star-based multiconjugate adaptive optics

Brent L. Ellerbroek and François Rigaut
J. Opt. Soc. Am. A 18(10) 2539-2547 (2001)

Efficient reconstruction method for ground layer adaptive optics with mixed natural and laser guide stars

Roland Wagner, Tapio Helin, Andreas Obereder, and Ronny Ramlau
Appl. Opt. 55(6) 1421-1429 (2016)

Split atmospheric tomography using laser and natural guide stars

Luc Gilles and Brent L. Ellerbroek
J. Opt. Soc. Am. A 25(10) 2427-2435 (2008)