Instrumentation, Techniques, and Measurement

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

[+] Author Affiliations
Xiangyu Li

Tianjin University, College of Precision Instrument and Optoelectronics Engineering, Department of Optoinformation Engineering, Tianjin 300072, China

Ministry of Education, Key Laboratory of Opto-electronics Information Technology, Tianjin 300072, China

Zhanhua Huang

Tianjin University, College of Precision Instrument and Optoelectronics Engineering, Department of Optoinformation Engineering, Tianjin 300072, China

Ministry of Education, Key Laboratory of Opto-electronics Information Technology, Tianjin 300072, China

Meng Zhu

Tianjin Jinhang Institute of Technical Physics, Tianjin 300192, China

Jin He

Tianjin University of Technology and Education, College of Electronic Engineering, Department of Electronic and Information Engineering, Tianjin 300222, China

Hao Zhang

Tianjin University, College of Precision Instrument and Optoelectronics Engineering, Department of Optoinformation Engineering, Tianjin 300072, China

Tianjin Jinhang Institute of Technical Physics, Tianjin 300192, China

Opt. Eng. 53(12), 124104 (Dec 22, 2014). doi:10.1117/1.OE.53.12.124104
History: Received July 23, 2014; Accepted November 24, 2014
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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.

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© 2014 Society of Photo-Optical Instrumentation Engineers

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", Opt. Eng. 53(12), 124104 (Dec 22, 2014). ; http://dx.doi.org/10.1117/1.OE.53.12.124104


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