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Journal of Electronic Imaging

Multifringe pattern analysis of circular zone plates
Author(s): Joseph Pegna; Thierry P. Hilaire
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Paper Abstract

We introduce the linearized perturbation method to find the center of a set of concentric circular fringes. The mathematical foundations of the method presented here are instrumental in the design of a two-dimensional interferometric position sensor, which uses the geometry of the fringe pattern rather than the wavelength. A wavelength-independent physical characteristic of the fringe pattern is derived, which relates the radii of successive fringes. The linearized perturbation method is formulated for multiple fringes as a constrained quadratic optimization problem. Experimental calibrations have shown that using physical constraint information significantly improves the precision on the center position.

Paper Details

Date Published: 1 January 1998
PDF: 8 pages
J. Electron. Imaging. 7(1) doi: 10.1117/1.482642
Published in: Journal of Electronic Imaging Volume 7, Issue 1
Show Author Affiliations
Joseph Pegna, Rensselaer Polytechnic Institute (United States)
Thierry P. Hilaire, Renault (France)

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