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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 10 — Oct. 1, 2003
  • pp: 1949–1957

Fundamental limits on isoplanatic correction with multiconjugate adaptive optics

Michael Lloyd-Hart and N. Mark Milton  »View Author Affiliations


JOSA A, Vol. 20, Issue 10, pp. 1949-1957 (2003)
http://dx.doi.org/10.1364/JOSAA.20.001949


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Abstract

We investigate the performance of a general multiconjugate adaptive optics (MCAO) system in which signals from multiple reference beacons are used to drive several deformable mirrors in the optical beam train. Taking an analytic approach that yields a detailed view of the effects of low-order aberration modes defined over the metapupil, we show that in the geometrical optics approximation, N deformable mirrors conjugated to different ranges can be driven to correct these modes through order N with unlimited isoplanatic angle, regardless of the distribution of turbulence along the line of sight. We find, however, that the optimal deformable mirror shapes are functions of target range, so the best compensation for starlight is in general not the correction that minimizes the wave-front aberration in a laser guide beacon. This introduces focal anisoplanatism in the wave-front measurements that can be overcome only through the use of beacons at several ranges. We derive expressions for the number of beacons required to sense the aberration to arbitrary order and establish necessary and sufficient conditions on their geometry for both natural and laser guide stars. Finally, we derive an expression for the residual uncompensated error by mode as a function of field angle, target range, and MCAO system geometry.

© 2003 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(110.6960) Imaging systems : Tomography

History
Original Manuscript: December 2, 2002
Revised Manuscript: April 22, 2003
Manuscript Accepted: April 22, 2003
Published: October 1, 2003

Citation
Michael Lloyd-Hart and N. Mark Milton, "Fundamental limits on isoplanatic correction with multiconjugate adaptive optics," J. Opt. Soc. Am. A 20, 1949-1957 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-10-1949

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