Wavefront reconstruction over discontinuous apertures by inclusion of additional integration equations

Joel Lau; Donald J. Wittich III

doi:10.1117/12.2238069

19 January 2017 Wavefront reconstruction over discontinuous apertures by inclusion of additional integration equations

Joel Lau, Donald J. Wittich III

Proceedings Volume 9982, Unconventional Imaging and Wavefront Sensing XII; 99820B (2017) https://doi.org/10.1117/12.2238069
Event: SPIE Optical Engineering + Applications, 2016, San Diego, California, United States

Abstract

An extension to zonal wavefront reconstruction estimation algorithms is proposed for irregular and discontinuous apertures. Many applications in astronomy and directed energy feature wavefront reconstruction over apertures partially obscured by a secondary mirror and its supports. In the worst case, these obscurations can separate the aperture into multiple discontinuous regions. The method proposed uses integration equations derived from the Taylor theorem assuming missing slope data. These integration equations are included in the least-squares solution of the wavefront and provide constants of slope integration which minimize the error introduced by the discontinuities. The equations can be included in any zonal estimation scheme. Several algorithms with and without the additional integration equations are evaluated against wavefronts gathered in recent optical flight tests. Finally, an evaluation of the noise-induced error is given for the same set of algorithms.

Conference Presentation

Citation Download Citation

Joel Lau and Donald J. Wittich III "Wavefront reconstruction over discontinuous apertures by inclusion of additional integration equations", Proc. SPIE 9982, Unconventional Imaging and Wavefront Sensing XII, 99820B (19 January 2017); https://doi.org/10.1117/12.2238069

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