Articles

Multifringe pattern analysis of circular zone plates

[+] Author Affiliations
Joseph Pegna

Concordia University, Department of Mechanical Engineering, Montreal, Quebec, Canada

Thierry P. Hilaire

Renault, Direction de la Recherche, 9-11 Avenue du 18 Juin 1940, F-92500 Rueil Malmaison, France

J. Electron. Imaging. 7(1), 257-264 (Jan 01, 1998). doi:10.1117/1.482642
History: Received Jan. 17, 1996; Revised June 10, 1997; Accepted Aug. 4, 1997
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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. © 1998 SPIE and IS&T.

© 1998 SPIE and IS&T

Citation

Joseph Pegna and Thierry P. Hilaire
"Multifringe pattern analysis of circular zone plates", J. Electron. Imaging. 7(1), 257-264 (Jan 01, 1998). ; http://dx.doi.org/10.1117/1.482642


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