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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 526–536

Mean-square residual error of a wavefront after propagation through atmospheric turbulence and after correction with Zernike polynomials

Rodolphe Conan  »View Author Affiliations

JOSA A, Vol. 25, Issue 2, pp. 526-536 (2008)

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The root-mean-square (rms) of the residual wavefront, after propagation through atmospheric turbulence and corrected from Zernike polynomials, has been derived for the von Kármán turbulence model. The rms for any location in the telescope pupil and the pupil average rms have been calculated. It is shown that the residual rms on the edge of the pupil can be up to 35% larger than the pupil average residual rms. The results are useful to estimate the required rms stroke of deformable mirror (DM) actuators when they are used as a second stage of correction either in a tip–tilt, single-DM configuration or in a tip–tilt, two-DM (woofer–tweeter) setup.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: October 2, 2007
Manuscript Accepted: November 26, 2007
Published: January 31, 2008

Rodolphe Conan, "Mean-square residual error of a wavefront after propagation through atmospheric turbulence and after correction with Zernike polynomials," J. Opt. Soc. Am. A 25, 526-536 (2008)

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