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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 18 — Jun. 20, 2003
  • pp: 3480–3487

Optimal filter for phase correction of anisoplanatism

George W. Sutton  »View Author Affiliations


Applied Optics, Vol. 42, Issue 18, pp. 3480-3487 (2003)
http://dx.doi.org/10.1364/AO.42.003480


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Abstract

An optimal filter algorithm for adaptive optics provides a powerful method for phase correction for propagation through the Earth’s turbulent atmosphere involving anisoplanatism. In the new algorithm the outward phase correction is the sum of the product of a weighting function (the optimal filter) and all the wave-front measurements at the pupil, greatly improving the Strehl ratio. Two simplified cases are presented for illustration: (1) a collimated beam traversing a layer of uniform isotropic turbulence (angle anisoplanatism) and (2) focus anisoplanatism. It compares favorably with tomographic techniques. The technique can be extended to the case of thick, strong turbulence in the far field of a subaperture of an adaptive optics system.

© 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
(010.3310) Atmospheric and oceanic optics : Laser beam transmission

History
Original Manuscript: November 29, 2002
Revised Manuscript: April 1, 2003
Published: June 20, 2003

Citation
George W. Sutton, "Optimal filter for phase correction of anisoplanatism," Appl. Opt. 42, 3480-3487 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-18-3480


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References

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  2. D. W. Hanson, “Reduction of anisoplanatic errors,” RADC-TR-81-122 (U.S. Air Force Rome Air Development Center, Griffiss Air Force Base, N.Y., 1981).
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  4. D. P. Looze, M. Kasper, S. Hippler, “Optimal compensation and implementation for adaptive optics systems,” in Proceedings of the 38th Conference on Decision and Control (Institute of Electrical and Electronics Engineers, New York, 1999), pp. 1715–1720.
  5. A. Tokovinin, W. Viard, “Limiting precision of tomographic phase estimation,” J. Opt. Soc. Am. A 18, 873–882 (2001). [CrossRef]
  6. D. Korff, M. G. Miller, G. L. Dryden, G. W. Sutton, “Optimal filtering techniques for adaptive optics,” Rep. AMP 641 (Avco-Everett Research Laboratory, Everett, Mass., 1982), available from M. Miller, Physical Sciences, Inc., 20 New England Business Center, Andover, Mass. 01810.
  7. D. Korff, “Corrections for focus anisoplanaticism,” Rep. AERLP 664A (Avco-Everett Research Laboratory, Everett, Mass., 1982), available from M. Miller, Physical Sciences, Inc., 20 New England Business Center, Andover, Mass. 01810.
  8. G. W. Sutton, “A new method of phase correction for anisoplanatism,” presented at the Eleventh Annual American Institute of Aeronautics and Astronautics and Missle Defense Agency Technology Conference, Monterey, Calif., 29 July–2 Aug. 2002.
  9. This typically entails use of a powerful, repetitively pulsed laser focused at the sodium layer at ∼85-km altitude, with a wavelength tuned to the sodium resonance line.
  10. G. W. Sutton, “Effect of turbulent fluctuations in a optically active fluid medium,” AIAA J. 7, 1737–1743 (1969). [CrossRef]

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