Simultaneous extraction of phase and phase shift from two interferograms using Lissajous figure and ellipse fitting technology with Hilbert–Huang prefiltering

Fengwei Liu , Jing Wang , Yongqian Wu , Fan Wu , Maciej Trusiak , Krzysztof Patorski , Yongjian Wan , Qiang Chen , Xi Hou


This paper presents a novel method to extract the phase shift and phase distribution from two interferograms simultaneously. By employing Hilbert–Huang transform based prefiltering, the background intensities and modulation amplitudes of the two interferograms are suppressed and normalized respectively. With the addition and subtraction operation of the two prefiltered interferograms, two parametric equations are achieved which can be regarded as the complex harmonic motion of the Lissajous figure. The phase of the Lissajous figure can be directly demodulated by the ellipse fitting algorithm. Apart from the advantages of other well-known two-step phase demodulation algorithms, i.e., high accuracy and efficiency of the Gram-Schmidt orthonormalization (GS) method and the less stringent requirement concerning the fringe number in the extreme value of interference (EVI) method, proposed Lissajous figure and ellipse fitting (LEF) approach has another bonus related to its robustness to the fluctuations of the fringe patterns noise, background intensity and modulation amplitude. Simulations demonstrate the outstanding performance of the proposed method, and experiments further corroborate its effectiveness.
Author Fengwei Liu
Fengwei Liu,,
, Jing Wang
Jing Wang,,
, Yongqian Wu
Yongqian Wu,,
, Fan Wu
Fan Wu,,
, Maciej Trusiak IMiF
Maciej Trusiak,,
- The Institute of Micromechanics and Photonics
, Krzysztof Patorski IMiF
Krzysztof Patorski,,
- The Institute of Micromechanics and Photonics
, Yongjian Wan
Yongjian Wan,,
, Qiang Chen
Qiang Chen,,
, Xi Hou
Xi Hou,,
Journal seriesJournal of Optics, ISSN 2040-8978 [2040-8986]
Issue year2016
Publication size in sheets0.6
Keywords in Englishtwo-step phase demodulation, interferometry, fringe analysis, Lissajous figure and ellipse fitting, phase shift
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 30.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.741 (2) - 2016=1.788 (5)
Citation count*9 (2018-03-16)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.