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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 21 — Jul. 20, 2006
  • pp: 5281–5293

Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography

Qiang Yang, Curtis R. Vogel, and Brent L. Ellerbroek  »View Author Affiliations


Applied Optics, Vol. 45, Issue 21, pp. 5281-5293 (2006)
http://dx.doi.org/10.1364/AO.45.005281


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Abstract

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

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: February 25, 2005
Revised Manuscript: September 20, 2005
Manuscript Accepted: December 15, 2005

Citation
Qiang Yang, Curtis R. Vogel, and Brent L. Ellerbroek, "Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography," Appl. Opt. 45, 5281-5293 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-21-5281

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