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Appl Opt. 1994 Nov 1;33(31):7339-42. doi: 10.1364/AO.33.007339.

Polynomial fitting of interferograms with Gaussian errors on fringe coordinates. 1: Computer simulations.


A series of simulations were made for an ideal Twyman-Green interferogram of equally spaced straight fringes having tilt only about x. It was found that fitting polynomials to the interferometric data resulted in biased estimates of some of the fitting coefficients to the optical path difference. The acceptance of the Seidel aberrations grows with the noise level and diminishes when the number of fringes is increased.

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