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Optical Engineering

Spatio-temporal phase retrieval in speckle interferometry with Hilbert transform and two-dimensional phase unwrapping
Author(s): Xiangyu Li; Zhanhua Huang; Meng Zhu; Jin He; Hao Zhang
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Paper Abstract

Hilbert transform (HT) is widely used in temporal speckle pattern interferometry, but errors from low modulations might propagate and corrupt the calculated phase. A spatio-temporal method for phase retrieval using temporal HT and spatial phase unwrapping is presented. In time domain, the wrapped phase difference between the initial and current states is directly determined by using HT. To avoid the influence of the low modulation intensity, the phase information between the two states is ignored. As a result, the phase unwrapping is shifted from time domain to space domain. A phase unwrapping algorithm based on discrete cosine transform is adopted by taking advantage of the information in adjacent pixels. An experiment is carried out with a Michelson-type interferometer to study the out-of-plane deformation field. High quality whole-field phase distribution maps with different fringe densities are obtained. Under the experimental conditions, the maximum number of fringes resolvable in a 416×416 frame is 30, which indicates a 15λ deformation along the direction of loading.

Paper Details

Date Published: 22 December 2014
PDF: 7 pages
Opt. Eng. 53(12) 124104 doi: 10.1117/1.OE.53.12.124104
Published in: Optical Engineering Volume 53, Issue 12
Show Author Affiliations
Xiangyu Li, Tianjin Univ. (China)
Zhanhua Huang, Tianjin Univ. (China)
Meng Zhu, Tianjin Jinhang Institute of Technology Physics (China)
Jin He, Tianjin Univ. of Technology and Education (China)
Hao Zhang, Tianjin Univ. (China)
Tianjin Jinhang Institute of Technology Physics (China)

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