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Proceedings Paper

Statistical moments of the Strehl ratio
Author(s): Natalia Yaitskova; Michael Esselborn; Szymon Gladysz
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Paper Abstract

Knowledge of the statistical characteristics of the Strehl ratio is essential for the performance assessment of the existing and future adaptive optics systems. For full assessment not only the mean value of the Strehl ratio but also higher statistical moments are important. Variance is related to the stability of an image and skewness reflects the chance to have in a set of short exposure images more or less images with the quality exceeding the mean. Skewness is a central parameter in the domain of lucky imaging. We present a rigorous theory for the calculation of the mean value, the variance and the skewness of the Strehl ratio. In our approach we represent the residual wavefront as being formed by independent cells. The level of the adaptive optics correction defines the number of the cells and the variance of the cells, which are the two main parameters of our theory. The deliverables are the values of the three moments as the functions of the correction level. We make no further assumptions except for the statistical independence of the cells.

Paper Details

Date Published: 13 September 2012
PDF: 10 pages
Proc. SPIE 8447, Adaptive Optics Systems III, 84475Y (13 September 2012); doi: 10.1117/12.924815
Show Author Affiliations
Natalia Yaitskova, European Southern Observatory (Germany)
Michael Esselborn, European Southern Observatory (Germany)
Szymon Gladysz, Fraunhofer Institute of Optronics, System Technologies and Image Exploitation (Germany)

Published in SPIE Proceedings Vol. 8447:
Adaptive Optics Systems III
Brent L. Ellerbroek; Enrico Marchetti; Jean-Pierre Véran, Editor(s)

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