UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2001 Meeting


Section: Optics and Spectroscopy


Title:
Statistical processing of Newton’s rings fringe patterns


Authors:
Victor Nascov, Adrian Dobroiu, Dan Apostol, Victor Damian


Affiliation:
National Institute for Laser, Plasma and Radiation Physics

PO Box MG-36, R-76900 Bucharest, Romania


E-mail


Keywords:


Abstract:
Our paper presents a statistical computing algorithm for processing digitally recorded Newton’s rings fringe patterns. This algorithm can determine some fringe parameters such as wavefront curvatures and optical path differences with the highest degree of accuracy, in given statistical fluctuation conditions affecting the recorded image. We checked the performance of our algorithm by processing fringe patterns obtained experimentally, with a Fizeau interferometer as well as a set of simulated images. Processing of simulated images had the purpose of an assessment of the measurement accuracy, by demonstrating that the accuracy of computing the fringe parameters matches the fluctuations of these parameters. We recorded the fringe pattern by means of a CCD camera with 384 ´ 288 pixels. The statistical relative errors of the computed parameters result to be of about 10-4. These errors decrease by greater resolution of the CCD and as the number of fringes in the processed image increases. One can apply this fringe processing for measurement of optical components curvature radius, or for wavelength measurement. The wavelength l can be measured with very high accuracy, due to the high sensitivity of the wavefront curvature at variations of l .