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 +

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available