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Proceedings Paper

Phase reconstruction from difference equations: a branch point tolerant method
Author(s): Gregory C. Dente; Michael L. Tilton; Laura J. Ulibarri
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Paper Abstract

Numerous optical engineering applications lead to two two- dimensional difference equations for the phase of a complex field. We will demonstrate that, in general, the solution for the phase can be decomposed into a regular, single-valued function determined by the divergence of the phase gradient, as well as a multi-valued function determined by the circulation of the phase gradient; this second function has been called the 'hidden phase.' The standard least-squares solution to the two-dimensional difference equations will always miss this hidden phase. We will present a solution method that gives both the regular and hidden parts of the phase. Finally, we will demonstrate the method with several examples from both speckle imaging and shearing interferometry.

Paper Details

Date Published: 31 October 2000
PDF: 12 pages
Proc. SPIE 4091, Imaging Technology and Telescopes, (31 October 2000); doi: 10.1117/12.405788
Show Author Affiliations
Gregory C. Dente, GCD Associates (United States)
Michael L. Tilton, Boeing Co./Defense and Space Group (United States)
Laura J. Ulibarri, Boeing Co./Defense and Space Group (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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