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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. 18, Iss. 4 — Apr. 1, 2001
  • pp: 873–882

Limiting precision of tomographic phase estimation

Andrei Tokovinin and Elise Viard  »View Author Affiliations


JOSA A, Vol. 18, Issue 4, pp. 873-882 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000873


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Abstract

In the context of multiconjugate adaptive optics, the optimum linear estimation of a wave-front phase for a target object using the phases of several surrounding natural guide stars (NGS’s) is studied. A Wiener-filter-type estimator is constructed. The minimum residual wave-front-phase (tomographic) error depends on the turbulence vertical profile, and for typical profiles it is almost insensitive to the presence of strong layers, contrary to current belief. Tomographic error is characterized by a new parameter δK, equivalent profile thickness, which depends on the NGS number K (typically δ5=0.5 km). The angular radius of the NGS configuration must not exceed r0/δK. Exact profile knowledge is not required. When the optimized filters are constructed from some model profile, the loss of the field size is within 10% with respect to exact profile knowledge. Moreover, a method to measure turbulence profile using wave-front-sensor data is outlined. Noise propagation in the restoration algorithm is significant, but not dramatic. Noise increases with increasing size of NGS constellation. Practically, guide stars for tomography should be at least as bright as those for classical adaptive optics.

© 2001 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

History
Original Manuscript: April 26, 2000
Revised Manuscript: September 11, 2000
Manuscript Accepted: November 2, 2000
Published: April 1, 2001

Citation
Andrei Tokovinin and Elise Viard, "Limiting precision of tomographic phase estimation," J. Opt. Soc. Am. A 18, 873-882 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-4-873

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