OSA's Digital Library

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. 31, Iss. 7 — Jul. 1, 2014
  • pp: 1666–1679

Spatial–temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations

Curtis R. Vogel, Glenn A. Tyler, and Donald J. Wittich  »View Author Affiliations


JOSA A, Vol. 31, Issue 7, pp. 1666-1679 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001666


View Full Text Article

Enhanced HTML    Acrobat PDF (1693 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We introduce a framework for modeling, analysis, and simulation of aero-optics wavefront aberrations that is based on spatial–temporal covariance matrices extracted from wavefront sensor measurements. Within this framework, we present a quasi-homogeneous structure function to analyze nonhomogeneous, mildly anisotropic spatial random processes, and we use this structure function to show that phase aberrations arising in aero-optics are, for an important range of operating parameters, locally Kolmogorov. This strongly suggests that the d5/3 power law for adaptive optics (AO) deformable mirror fitting error, where d denotes actuator separation, holds for certain important aero-optics scenarios. This framework also allows us to compute bounds on AO servo lag error and predictive control error. In addition, it provides us with the means to accurately simulate AO systems for the mitigation of aero-effects, and it may provide insight into underlying physical processes associated with turbulent flow. The techniques introduced here are demonstrated using data obtained from the Airborne Aero-Optics Laboratory.

© 2014 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7060) Atmospheric and oceanic optics : Turbulence

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: February 25, 2014
Manuscript Accepted: April 18, 2014
Published: June 30, 2014

Citation
Curtis R. Vogel, Glenn A. Tyler, and Donald J. Wittich, "Spatial–temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations," J. Opt. Soc. Am. A 31, 1666-1679 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-7-1666


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. L. Fried, “Statistics of a geometrical representation of wavefront distortion,” J. Opt. Soc. Am. 55, 1427–1435 (1965). [CrossRef]
  2. F. Roddier, Adaptive Optics in Astronomy (Cambridge University, 1999).
  3. R. J. Hudgin, “Wavefront compensation error due to finite corrector-element size,” J. Opt. Soc. Am. 67, 393–395 (1977). [CrossRef]
  4. D. P. Greenwood, “Bandwidth specification for adaptive optics systems,” J. Opt. Soc. Am. 67, 390–393 (1977). [CrossRef]
  5. J. P. Siegenthaler, E. J. Jumper, and S. Gordeyev, “Atmospheric propagation vs. aero-optics,” in 46th AIAA Aerospace Sciences Meeting, AIAA 2008-1076 (AIAA, 2008). [CrossRef]
  6. G. A. Tyler, “Analysis of boundary layer data,” (the Optical Sciences Company, 2009).
  7. L. Poyneer, M. van Dam, and J.-P. Veran, “Experimental verification of the frozen flow atmospheric turbulence assumption with use of astronomical adaptive optics telemetry,” J. Opt. Soc. Am. A 26, 833–846 (2009). [CrossRef]
  8. E. Jumper, M. Zenk, S. Gordeyev, D. Cavalieri, and M. Whiteley, “The Airborne Aero-Optics Laboratory, AAOL,” Opt. Eng. 52, 071408 (2013). [CrossRef]
  9. D. J. Goorskey, R. Drye, and M. R. Whiteley, “Spatial and temporal characterization of AAOL flight test data,” Proc. SPIE 8395, 839509 (2012).
  10. S. Gordeyev and E. Jumper, “Fluid dynamics and aero-optics of turrets,” Prog. Aerosp. Sci. 46, 388–400 (2010). [CrossRef]
  11. N. De Lucca, S. Gordeyev, and E. Jumper, “In-flight aero-optics of turrets,” Opt. Eng. 52, 071405 (2013). [CrossRef]
  12. T. J. Brennan and D. J. Wittich, “Statistical analysis of Airborne Aero-Optical Laboratory optical wavefront measurements,” Opt. Eng. 52, 071416 (2013). [CrossRef]
  13. O. Axelsson and V. A. Barker, Finite Element Solution of Boundary Value Problems (SIAM, 2001).
  14. T. J. Brennan, P. H. Roberts, and D. C. Zimmerman, “WaveProp user’s guide, a wave optics simulation system,” (the Optical Sciences Company, 2007).
  15. T. J. Brennan and C. R. Vogel, “Spatial-temporal control applied to atmospheric adaptive optics,” (the Optical Sciences Company, 2013).
  16. C. M. Hardy, R. A. Johnston, and R. G. Lane, “Fast simulation of a Kolmogorov phase screen,” Appl. Opt. 38, 2161–2170 (1999). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited