Journal ArticleDOI
Statistical processing of Newton's rings using discrete Fourier analysis
TLDR
In this paper, a numerical method for processing the fringes obtained when two waves, with a quadratic phase difference function, interfere is presented, which includes straight equispaced fringes and Newton's rings as particular cases.Abstract:
We present a practical numerical method for processing the fringes obtained when two waves, with a quadratic phase difference function, interfere. This kind of fringe includes straight equispaced fringes and Newton's rings as particular cases. The numerical method we present is based on the discrete Fresnel (Fourier) transform of the data and has the same precision as least square fitting (LSF). Compared to the LSF method, this new method is better, as it is more efficient and does not require initial approximations for the fringe parameters to be determined.read more
Citations
More filters
Journal ArticleDOI
Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform
TL;DR: In this article, a novel method for accurate and direct parameter estimation using the fractional Fourier transform (FRFT) even in the presence of noise and obstacles is proposed for optical fringes with a quadratic phase.
Journal ArticleDOI
Improved FRFT-based method for estimating the physical parameters from Newton’s rings
TL;DR: The proposed method combines the advantages of the fractional Fourier transform (FRFT) with the least-squares fitting method in analyzing Newton’s rings fringe patterns and shows that the proposed method is capable of estimating the parameters in the presence of noise and obstacles.
Journal ArticleDOI
Method for suppressing the quantization error of Newton’s rings fringe pattern
TL;DR: This paper proposes a method for suppressing quantization errors in the fractional Fourier transform (FRFT) domain, for chirp signals occupies little bandwidth in the FRFT domain, which has better effect on reduction of quantization error in the fringe pattern than traditional methods.
Journal ArticleDOI
Novel method for parameter estimation of Newton’s rings based on CFRFT and ER-WCA
Yong Guo,Bing-Zhao Li +1 more
TL;DR: A novel method for parameter estimation of Newton’s rings is proposed based on concise fractional Fourier transform (CFRFT) and evaporation rate based water cycle algorithm (ER-WCA), and a pretreatment technology is further proposed to solve uneven illumination of actual Newton's rings.
Journal ArticleDOI
Measurement to radius of Newton’s ring fringes using polar coordinate transform
TL;DR: In this article, a new measuring method for radius of circular fringes, which includes three main steps, i.e., determination of center coordinates, polar coordinates transformation, and gray projection of the transformed result along the horizontal direction, is presented.
References
More filters
Journal ArticleDOI
Automatic fringe analysis with a computer image-processing system
TL;DR: The application of a general-purpose image-processing computer system to automatic fringe analysis is presented and three areas of application have been examined where the use of a system based on a random access frame store has enabled a processing algorithm to be developed to suit a specific problem.
Book ChapterDOI
IV Direct Spatial Reconstruction of Optical Phase From Phase-Modulated Images
Valentin I. Vlad,Daniel Malacara +1 more
TL;DR: This chapter aims to improve some DSROP methods such as the smoothing method and the band-pass filtering method in the space domain and propose some new methods for space- and time-PMI.
Journal ArticleDOI
Self-calibrating algorithm for three-sample phase-shift interferometry by contrast levelling
TL;DR: In this article, a self-calibrating algorithm for phase shift interferometry is presented, which minimizes the non-uniformity that appears in the map of the calculated contrast when incorrect phase shifts are supposed.
Journal ArticleDOI
Centering and profiling algorithm for processing Newton's rings fringe patterns
TL;DR: In this article, a blockwise Fourier transform of the interferogram is used to find the common center of the circular fringes of the Newton's rings, which is then combined to give the circles' center.
Proceedings ArticleDOI
Statistical errors on Newton fringe pattern digital processing
TL;DR: Analytical expressions for the statistical errors related to statistical processing of digitally recorded Newton's rings interference patterns by least squares fitting are provided.