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Estimation of wavefront degradation by determining peak positions of interference fringes in a single shot image

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Abstract

This paper proposes a method to estimate wavefront degradation of a deformed optical wavefront when the optical intensity on the wavefront is constant. A mathematical model has been given for noisy interference images generated between an ideal plane wave and the deformed wave. The concept of the profile array of the interference images has been defined. The method takes two steps: calculate standard deviation (SD) of the profile array from an interference fringe in a recorded noisy image using Eq. (16) in Ref. [5], and then calculate the wavefront degradation of the deformed wave from the SD of the profile array. In a simulated image given by the mathematical model, SD of the Gaussian distributed profile array can be estimated from SD of the peak positions of an interference fringe in the image. A formula has also been given for calculating wavefront degradation of the deformed wave from the calculated SD of the profile array.

© 2012 Optical Society of America

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