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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: A216–A222

Dynamics of adaptive optical systems

V. P. Lukin  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. A216-A222 (2010)
http://dx.doi.org/10.1364/JOSAA.27.00A216


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Abstract

Dynamic (time) characteristics of adaptive systems are analyzed. A common adaptive system with a finite frequency band (or a finite response time) is described as a dynamic constant time-delay system, where time delay is to be much shorter than the time of coherence radius transfer through an optical beam by a mean wind speed. The questions of coherent beam formation are considered with use of the reference source. The analytical calculation of the Strehl parameter is made on basis of the generalized Huygens–Kirchhoff principle. An adaptive system is considered where the correcting phase is calculated with the use of both its derivatives and the signal, as well as adaptive systems using different time-predicting algorithms of the correcting signal for future time points. The use of a predicted phase front of the correcting wave allows much longer time delays. The stronger the phase distortions in the optical wave, the higher the time gain in comparison with common (with constant time delay) adaptive systems.

© 2010 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(030.7060) Coherence and statistical optics : Turbulence
(070.5040) Fourier optics and signal processing : Phase conjugation
(010.1285) Atmospheric and oceanic optics : Atmospheric correction

History
Original Manuscript: March 29, 2010
Revised Manuscript: July 15, 2010
Manuscript Accepted: August 13, 2010
Published: September 24, 2010

Citation
V. P. Lukin, "Dynamics of adaptive optical systems," J. Opt. Soc. Am. A 27, A216-A222 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-A216


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References

  1. V. P. Lukin and V. L. Mironov, “Dynamic characteristics of adaptive optical systems,” Kvantovaya Electronika 12, 1959–1962 (1985).
  2. J. W. Hardy, “Active optics: a new technology for the control of light,” Proc. IEEE 66, 651–697 (1978). [CrossRef]
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  5. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976). [CrossRef]
  6. V. P. Lukin, Atmospheric Adaptive Optics (Nauka, Novosibirsk, 1986).
  7. V. P. Lukin and V. E. Zuev, “Dynamic characteristics of adaptive systems,” Appl. Opt. 26, 139–144 (1987). [CrossRef] [PubMed]
  8. D. P. Greenwood and D. L. Fried, “Power spectra requirements for wave-front-compensative systems,” J. Opt. Soc. Am. 66193–206 (1976). [CrossRef]
  9. I. Y. Wang and L. K. Markey, “Modal compensation of atmospheric turbulence phase distortion,” J. Opt. Soc. Am. 68, 78–88 (1978). [CrossRef]
  10. V. P. Lukin and V. V. Pokasov, “Optical wave phase fluctuations,” Appl. Opt. 20, 121–135 (1981). [CrossRef] [PubMed]
  11. L. A. Bolbasova and V. P. Lukin, “Modal anisoplanatism of phase fluctuations,” Atmos. Oceanic Opt. 21, 1070–1075 (2008).
  12. V. V. Voitsekhovich, Influence of Atmospheric Turbulence on the Accuracy of Determination of Wavefront Parameter, Preprint N. 862 (Institute of Space Researches, Moscow, 1984).

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