Abstract

Extracting phase and amplitude information from the quadrature signals of an optical interferometer is an essential first step in any measurement. Where these signals are displayed as a Lissajous figure, the primary limitation to accuracy is determined by the goodness-of-fit to the ellipse, which is especially problematic for ellipses with high ellipticity. In a companion paper by Collett and Tee [J. Opt. Soc. Am. A 31, 2573 (2014) [CrossRef]  ], we described a novel, linear ellipse fitting method that outperforms all previously published algorithms. Here, we demonstrate the experimental application of this algorithm to several measurement problems of practical interest.

© 2014 Optical Society of America

Ellipse fitting for interferometry. Part 1: static methods

M. J. Collett and G. J. Tee
J. Opt. Soc. Am. A 31(12) 2573-2583 (2014)

Ellipse fitting for interferometry. Part 3: dynamic method

M. J. Collett and L. R. Watkins
J. Opt. Soc. Am. A 32(3) 491-496 (2015)

Correction of phase extraction error in phase-shifting interferometry based on Lissajous figure and ellipse fitting technology

Fengwei Liu, Yongqian Wu, and Fan Wu
Opt. Express 23(8) 10794-10807 (2015)

Random two-step phase shifting interferometry based on Lissajous ellipse fitting and least squares technologies

Yu Zhang, Xiaobo Tian, and Rongguang Liang
Opt. Express 26(12) 15059-15071 (2018)

Ameliorated 3 × 3 coupler-based demodulation algorithm using iteratively reweighted ellipse specific fitting

Shaojie Gu, Gang Zhang, Qiang Ge, Linguang Xu, Xuqiang Wu, and Benli Yu
Opt. Express 32(2) 1108-1122 (2024)