Minimum Variance Estimation Of Wavefront Aberration

Gregory S. Um; Brian F. Smithgall; Carey L. O'Bryan

doi:10.1117/12.933917

1 August 1983 Minimum Variance Estimation Of Wavefront Aberration

Gregory S. Um, Brian F. Smithgall, Carey L. O'Bryan

Proceedings Volume 0351, Wavefront Sensing; (1983) https://doi.org/10.1117/12.933917
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

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.

Citation Download Citation

Gregory S. Um, Brian F. Smithgall, and Carey L. O'Bryan "Minimum Variance Estimation Of Wavefront Aberration", Proc. SPIE 0351, Wavefront Sensing, (1 August 1983); https://doi.org/10.1117/12.933917

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available