| Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 14, Number 1, 2018
|
|
|---|---|---|
| Article Number | 10 | |
| Number of page(s) | 8 | |
| DOI | https://doi.org/10.1186/s41476-018-0076-x | |
| Published online | 22 March 2018 | |
Research
Advanced method of global phase shift estimation from two linear carrier interferograms
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology, 215009, Suzhou, Jiangsu, People’s Republic of China
Received:
31
October
2017
Accepted:
15
February
2018
Background: Phase-shifting interferometry is a kind of important technique used in optical interference metrology. This technique has high precision and good stability, which has been widely used in scientific research and industrial production.
Methods: This paper proposes a new method to estimate global phase shift from two interferograms. This method performs algebraic calculation of two interferograms with the assistance of Hilbert transform. An iterative approach is used for the attempted phase to ensure that the minimum of assessment function is obtained.
Results: The simulated result indicate that the maximum calculation error of the global phase-shifting is 1.5%. And then we use experimental data to verify the performance of this method.
Conclusions: The method proposed in this article is simple but precise, and can cope with interferograms with uneven background and modulation, non-periodic apodization, and random noises. It does not require any specific carrier frequency of the measured interferogram or any adjustment of range of integration in accordance with the carrier frequency.
Key words: Global phase-shifting / Fringes pattern / Hilbert transform / Iterative approach
© The Author(s) 2018
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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