Statistics – Applications
Scientific paper
Oct 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000spie.4091..292d&link_type=abstract
Proc. SPIE Vol. 4091, p. 292-303, Imaging Technology and Telescopes, James W. Bilbro; James B. Breckinridge; Richard A. Carreras
Statistics
Applications
Scientific paper
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.
Dente Gregory C.
Tilton Michael L.
Ulibarri Laura J.
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