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Proceedings Paper

Minimum Variance Estimation Of Wavefront Aberration
Author(s): Gregory S. Um; Brian F. Smithgall; Carey L. O'Bryan
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Paper Abstract

An image-based indirect wavefront aberration estimation which is noise optimal is presented. The minimum variance estimation is obtained by linearizing the focal plane intensity distribution in terms of the aberration parameters and a known set of derivatives of the point spread function. The technique was also made to work successfully for unknown extended sources by Fourier transforming the image to the frequency space. The results obtained from a computer simulation show excellent noise rejection. With a signal-to-noise ratio of 5, the wavefront correction is achieved down to 0.1 λ. In some cases, this method worked when the initial signal-to-noise ratio was less than one. Since the estimation is performed with a linear approximation, the dynamic range of operation was found to be limited to 0.35 RMS λ.

Paper Details

Date Published: 1 August 1983
PDF: 8 pages
Proc. SPIE 0351, Wavefront Sensing, (1 August 1983); doi: 10.1117/12.933917
Show Author Affiliations
Gregory S. Um, Rockwell International (United States)
Brian F. Smithgall
Carey L. O'Bryan, Air Force Space Division (United States)

Published in SPIE Proceedings Vol. 0351:
Wavefront Sensing
Noah Bareket; Chris L. Koliopoulos, Editor(s)

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