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Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography

Yang, Qiang and Vogel, Curtis R. and Ellerbroek, Brent L. (2006) Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography. Applied Optics, 45 (21). pp. 5281-5293. ISSN 0003-6935. https://resolver.caltech.edu/CaltechAUTHORS:YANao06

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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.


Item Type:Article
Additional Information:© 2006 Optical Society of America Received 25 February 2005; revised 20 September 2005; accepted 15 December 2005; posted 19 December 2005 (Doc. ID 60047). This work has been supported in part by the National Science Foundation Science and Technology Center for Adaptive Optics, managed by the University of California at Santa Cruz under cooperative agreement AST-9876783. Q. Yang and C. R. Vogel received additional partial support from the Computational Mathematics Program at the Air Force Office of Scientific Research through AOSR-DEPSCoR grant F49620-02-1-0297. B. L. Ellerbroek received support from the Thirty-Meter Telescope (TMT) project. TMT is a partnership of the Association of Universities for Research in Astronomy (AURA), the Association of Canadian Universities for Research in Astronomy (ACURA), the California Institute of Technology, and the University of California. The partners gratefully acknowledge the support of the Gordon and Betty Moore Foundation, the U.S. National Science Foundation, the National Research Council of Canada, the Natural Sciences and Engineering Research Council of Canada, and the Gemini Partnership.
Subject Keywords:Adaptive optics
Issue or Number:21
Record Number:CaltechAUTHORS:YANao06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:YANao06
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=ao-45-21-5281
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4751
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:05 Sep 2006
Last Modified:02 Oct 2019 23:15

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