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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 22 — Aug. 1, 2006
  • pp: 5657–5668

Optimized phase screen modeling for optical turbulence

Byron Formwalt and Stephen Cain  »View Author Affiliations


Applied Optics, Vol. 45, Issue 22, pp. 5657-5668 (2006)
http://dx.doi.org/10.1364/AO.45.005657


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Abstract

An alternative method for statistical interpolation is formalized. A new theorem is proved, providing theoretical basis for optimizing statistical accuracy in successively conditioned rendering applications. The theorem is empirically validated by two simulations, each comparing two different statistical interpolators. The interpolators are used to model high- resolution phase fluctuations over finite apertures. The theorem correctly predicts which interpolator is more optimal, based on empirical trials with greater than 99.9 % certainty. The theorem is suitable as a quick alternative to the Monte Carlo optimization techniques used previously.

© Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(100.2000) Image processing : Digital image processing

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: November 28, 2005
Revised Manuscript: January 20, 2006
Manuscript Accepted: February 11, 2006

Citation
Byron Formwalt and Stephen Cain, "Optimized phase screen modeling for optical turbulence," Appl. Opt. 45, 5657-5668 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-22-5657


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References

  1. M. C. Roggemann and B. Welsh, Imaging Through Turbulence (CRC Press, 1996).
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  5. G. Strang, Linear Algebra and Its Applications, 3rd ed. (Harcourt Brace Jovanovich College Publishers, 1988).
  6. F. Cucker and A. Gonzalez Corbalan, "An alternate proof of the continuity of the roots of a polynomial," Am. Math. Monthly 96, 342-345 (1989). [CrossRef]

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