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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: Stephen A. Burns
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 463–468

Extruding Kolmogorov-type phase screen ribbons

David L. Fried and Tim Clark  »View Author Affiliations


JOSA A, Vol. 25, Issue 2, pp. 463-468 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000463


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Abstract

A phase screen ribbon extrusion process is presented that allows a phase screen ribbon of any specified width to be extruded, one column at a time, producing a ribbon of any desired length, with Kolmogorov statistics (i.e., having a five-thirds power-law-dependent structure function) for all separations up to some selected upper limit—which upper limit can be as large as desired. The method is an adaptation of the method described by [ Assémat et al. Opt. Express 14, 988 (2006) ].

© 2008 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7060) Atmospheric and oceanic optics : Turbulence
(350.5500) Other areas of optics : Propagation
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: October 10, 2007
Revised Manuscript: November 14, 2007
Manuscript Accepted: December 7, 2007
Published: January 29, 2008

Citation
David L. Fried and Tim Clark, "Extruding Kolmogorov-type phase screen ribbons," J. Opt. Soc. Am. A 25, 463-468 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-2-463


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References

  1. F. Assémat, R. W. Wilson, and E. Gendron, "Method for simulating infinitely long and non stationary phase screens with optimized memory storage," Opt. Express 14, 988-999 (2006). [CrossRef] [PubMed]
  2. P. S. Maybeck, Stochastic Models, Estimation, and Control (Academic, 1979), Vol. 1, p. 110, Eqs. (3-111) and (3-112). We are indebted to David Iny of Northrop-Grumman for calling our attention to this.
  3. Ref. , p. 111, Eq. (3-114).
  4. A. H. Jazwinski, Stochastic Processes and Filtering Theory (Academic, 1970), p. 33.
  5. B. Noble and J. W. Daniel, Applied Linear Algebra, 3rd ed. (Prentice-Hall, 1988), p. 418, Theorem 10.25.
  6. R. G. Lane, A. Glindemann, and J. C. Dainty, "Simulation of a Kolmogorov phase screen," Waves Random Media 2, 209-224 (1992). [CrossRef]

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