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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 9 — May. 5, 2014
  • pp: 10559–10569

Transmission-lattice based geometric phase analysis for evaluating the dynamic deformation of a liquid surface

Wenxiong Shi, Xianfu Huang, and Zhanwei Liu  »View Author Affiliations

Optics Express, Vol. 22, Issue 9, pp. 10559-10569 (2014)

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Quantitatively measuring a dynamic liquid surface often presents a challenge due to high transparency, fluidity and specular reflection. Here, a novel Transmission-Lattice based Geometric Phase Analysis (TLGPA) method is introduced. In this method, a special lattice is placed underneath a liquid to be tested and, when viewed from above, the phase of the transmission-lattice image is modulated by the deformation of the liquid surface. Combining this with multi-directional Newton iteration algorithms, the dynamic deformation field of the liquid surface can be calculated from the phase variation of a series of transmission-lattice images captured at different moments. The developed method has the advantage of strong self-adaption ability to initial lattice rotational errors and this is discussed in detail. Dynamic 3D ripples formation and propagation was investigated and the results obtained demonstrated the feasibility of the method.

© 2014 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(150.6910) Machine vision : Three-dimensional sensing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: February 17, 2014
Revised Manuscript: April 17, 2014
Manuscript Accepted: April 17, 2014
Published: April 24, 2014

Wenxiong Shi, Xianfu Huang, and Zhanwei Liu, "Transmission-lattice based geometric phase analysis for evaluating the dynamic deformation of a liquid surface," Opt. Express 22, 10559-10569 (2014)

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