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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. 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


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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

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