1 February 2007 Statistical processing of Newton's rings using discrete Fourier analysis
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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.
©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)
Victor Nascov, Dan Apostol, and Florin Garoi "Statistical processing of Newton's rings using discrete Fourier analysis," Optical Engineering 46(2), 028201 (1 February 2007). https://doi.org/10.1117/1.2709856
Published: 1 February 2007
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CITATIONS
Cited by 15 scholarly publications.
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KEYWORDS
Fringe analysis

Fourier transforms

Error analysis

Optical engineering

Statistical analysis

Numerical analysis

Matrices

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