1 January 1998 Multifringe pattern analysis of circular zone plates
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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.
Joseph Pegna, Joseph Pegna, Thierry P. Hilaire, Thierry P. Hilaire, } "Multifringe pattern analysis of circular zone plates," Journal of Electronic Imaging 7(1), (1 January 1998). https://doi.org/10.1117/1.482642 . Submission:
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