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Vogel CR, Tyler GA, Wittich DJ. Spatial-temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations. J Opt Soc Am A Opt Image Sci Vis. 2014;31(7):1666-79doi: 10.1364/JOSAA.31.001666.
Vogel, C. R., Tyler, G. A., & Wittich, D. J. (2014). Spatial-temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations. Journal of the Optical Society of America. A, Optics, image science, and vision, 31(7), 1666-79. https://doi.org/10.1364/JOSAA.31.001666
Vogel, Curtis R, et al. "Spatial-temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations." Journal of the Optical Society of America. A, Optics, image science, and vision vol. 31,7 (2014): 1666-79. doi: https://doi.org/10.1364/JOSAA.31.001666
Vogel CR, Tyler GA, Wittich DJ. Spatial-temporal-covariance-based modeling, analysis, and simulation of aero-optics wavefront aberrations. J Opt Soc Am A Opt Image Sci Vis. 2014 Jul 01;31(7):1666-79. doi: 10.1364/JOSAA.31.001666. PMID: 25121456.
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J Opt Soc Am A Opt Image Sci Vis. 2014 Jul 01;31(7):1666-79. doi: 10.1364/JOSAA.31.001666.

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

Journal of the Optical Society of America. A, Optics, image science, and vision

Curtis R Vogel, Glenn A Tyler, Donald J Wittich

PMID: 25121456 DOI: 10.1364/JOSAA.31.001666

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.

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