Spatio-temporal phase retrieval in speckle interferometry with Hilbert transform and two-dimensional phase unwrapping

Xiangyu Li; Zhanhua Huang; Meng Zhu; Jin He; Hao Zhang

doi:10.1117/1.OE.53.12.124104

22 December 2014 Spatio-temporal phase retrieval in speckle interferometry with Hilbert transform and two-dimensional phase unwrapping

Xiangyu Li, Zhanhua Huang, Meng Zhu, Jin He, Hao Zhang

Author Affiliations +

Funded by: National Natural Science Foundation of China, Foundation of Ministry of Education of China, Programs Foundation of Ministry of Education of China, Tianjin City High School Science & Technology Fund Planning Project, general project fund development of colleges and universities in Tianjin city

Optical Engineering, Vol. 53, Issue 12, 124104 (December 2014). https://doi.org/10.1117/1.OE.53.12.124104

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.

Citation Download Citation

Xiangyu Li, Zhanhua Huang, Meng Zhu, Jin He, and Hao Zhang "Spatio-temporal phase retrieval in speckle interferometry with Hilbert transform and two-dimensional phase unwrapping," Optical Engineering 53(12), 124104 (22 December 2014). https://doi.org/10.1117/1.OE.53.12.124104

Published: 22 December 2014

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