Measurement to radius of Newton’s ring fringes using polar coordinate transformReport as inadecuate

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Journal of the European Optical Society-Rapid Publications

, 12:17

First Online: 11 October 2016Received: 01 September 2016Accepted: 30 September 2016


BackgroundNewton’s ring method is often used to measure many physical parameters. And some measured physical quantity can be extracted by calculating the radius parameter of circular fringes from Newton-s ring configuration.

MethodsThe paper presents a new measuring method for radius of circular fringes, which includes three main steps, i.e., determination of center coordinates of circular fringes, polar coordinates transformation of circular fringes, and gray projection of the transformed result which along the horizontal direction. Then the radius values of each order ring are calculated.

ResultsThe simulated results indicate that the measuring accuracy of the radius under the effect of random noise can keep the degree of less than 0.5 pixels.

ConclusionsThe proposed method can obtain the radius data of each order closed circular fringes. Also, it has several other advantages, including ability of good anti-noise, sub-pixel accuracy and high reliability, and easy to in-situ use.

KeywordsNewton’s ring Polar coordinates transform Fringes pattern Gray projection  Download fulltext PDF

Author: Ping An - Fu-zhong Bai - Zhen Liu - Xiao-juan Gao - Xiao-qiang Wang



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