By “atmospheric tomography” we mean the estimation of a layered atmospheric turbulence profile from measurements of the pupil–plane phase (or phase gradients) corresponding to several different guide star directions. We introduce what we believe to be a new Fourier domain preconditioned conjugate gradient (FD-PCG) algorithm for atmospheric tomography, and we compare its performance against an existing multigrid preconditioned conjugate gradient (MG-PCG) approach. Numerical results indicate that on conventional serial computers, FD-PCG is as accurate and robust as MG-PCG, but it is from one to two orders of magnitude faster for atmospheric tomography on 30 m class telescopes. Simulations are carried out for both natural guide stars and for a combination of finite-altitude laser guide stars and natural guide stars to resolve tip–tilt uncertainty.
© 2006 Optical Society of America
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
Atmospheric and Oceanic Optics
Original Manuscript: February 25, 2005
Revised Manuscript: September 20, 2005
Manuscript Accepted: December 15, 2005
Qiang Yang, Curtis R. Vogel, and Brent L. Ellerbroek, "Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography," Appl. Opt. 45, 5281-5293 (2006)