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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 6 — Feb. 20, 2002
  • pp: 1012–1021

Evaluation of the performance of Hartmann sensors in strong scintillation

Jeffrey D. Barchers, David L. Fried, and Donald J. Link  »View Author Affiliations


Applied Optics, Vol. 41, Issue 6, pp. 1012-1021 (2002)
http://dx.doi.org/10.1364/AO.41.001012


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Abstract

A simulation study is presented that evaluates the performance of Hartmann wave-front sensors with measurements obtained with the Fried geometry and the Hutchin geometry. Performance is defined in terms of the Strehl ratio achieved when the estimate of the complex field obtained from reconstruction is used to correct the distorted wave front presented to the wave-front sensor. A series of evaluations is performed to identify the strengths and the weaknesses of Hartmann sensors used in each of the two geometries in the two-dimensional space of the Fried parameter r0 and the Rytov parameter. We found that the performance of Hartmann sensors degrades severely when the Rytov number exceeds 0.2 and the ratio l/ r0 exceeds 1/4 (where l is the subaperture side length) because of the presence of branch points in the phase function and the effect of amplitude scintillation on the measurement values produced by the Hartmann sensor.

© 2002 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

History
Original Manuscript: March 22, 2001
Revised Manuscript: August 16, 2001
Published: February 20, 2002

Citation
Jeffrey D. Barchers, David L. Fried, and Donald J. Link, "Evaluation of the performance of Hartmann sensors in strong scintillation," Appl. Opt. 41, 1012-1021 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-6-1012


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References

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  16. S. F. Clifford, G. R. Ochs, R. S. Lawrence, “Saturation of optical scintillation by strong turbulence,” J. Opt. Soc. Am. 64, 148–154 (1974). [CrossRef]
  17. We computed the formulation error in the Hutchin geometry by following the same development as previously published for the formulation error in the Fried geometry.5
  18. G. H. Golub, C. F. Van Loan, Matrix Computations (John Hopkins U. Press, Baltimore, Md., 1996).

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