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A new method of processing Newton's rings fringe patterns is presented. After the center of the circular rings is found, a special type of pixel intensity spectrum is calculated, in which the 2D pattern is reduced to a 1D profile showing a periodic structure of fringes. By further processing the parameters of the initial interferogram can be easily extracted. The statistical nature of the method leads to a higher accuracy and a better immunity to noise.
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Adrian Dobroiu, Adrian Alexandrescu, Dan Apostol, Victor Nascov, Victor S. Damian, "Improved method for processing Newton's rings fringe patterns," Proc. SPIE 4068, SIOEL '99: Sixth Symposium on Optoelectronics, (23 February 2000); https://doi.org/10.1117/12.378693