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31 October 2000 Comparison of complex exponential and least-squares wavefront reconstructors for regular square and nonsquare grid arrays
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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.
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David Olson, Steven M. Long, and Laura J. Ulibarri "Comparison of complex exponential and least-squares wavefront reconstructors for regular square and nonsquare grid arrays", Proc. SPIE 4091, Imaging Technology and Telescopes, (31 October 2000); https://doi.org/10.1117/12.405791
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