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Proceedings Paper

Comparison of complex exponential and least-squares wavefront reconstructors for regular square and nonsquare grid arrays
Author(s): David Olson; Steven M. Long; Laura J. Ulibarri
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Paper Abstract

Many laser imaging applications produce as outputs the phase differences between adjacent points in the digital 2-D image spatial frequency domain. A wavefront reconstruction algorithm must then be used to convert phase difference arrays to a spatial frequency global phase array. The spatial frequency domain for most applications (for example, Sheared Beam Imaging) is contained in a regular square grid. For other applications such as Fourier Telescopy, the spatial frequency domain grid points depend upon the placement of the laser illuminators. Additionally, off-axis viewing angles introduce a skew into the u-v sample space, so we need to be able to reconstruct wavefronts on non-square grid arrays. In this work we will demonstrate use of standard square grid reconstructors to reconstruct non-square grid arrays. Additionally, we compare the relative accuracy between a complex exponential wavefront reconstruction algorithm and a modified least- squares wavefront reconstruction algorithm in recovering the global phase from regular square and non-square grid arrays.

Paper Details

Date Published: 31 October 2000
PDF: 10 pages
Proc. SPIE 4091, Imaging Technology and Telescopes, (31 October 2000); doi: 10.1117/12.405791
Show Author Affiliations
David Olson, The Optical Sciences Co. (United States)
Steven M. Long, Boeing Co. (United States)
Laura J. Ulibarri, Boeing Co. (United States)


Published in SPIE Proceedings Vol. 4091:
Imaging Technology and Telescopes
James W. Bilbro; James B. Breckinridge; Mark J. Eckart; James B. Breckinridge; Richard A. Carreras; Richard A. Carreras; James W. Bilbro; Stanley R. Czyzak; Robert D. Fiete; Mark J. Eckart; Robert D. Fiete; Paul S. Idell, Editor(s)

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