Abstract

The influence of displacement and its first- and second-order derivative components on curvature fringe formations in speckle shearography is discussed. The results show that (a) all the displacement components have no direct influence on curvature fringe formations; (b) only the first-order derivative component along the centerline of three apertures has an influence on curvature fringe formations, whereas all the other first-order components have no influence; and (c) all the second-order derivative components have no influence on curvature fringe formations. Results from theory and experiments are in good agreement.

© 2002 Optical Society of America

Multiple-image shearography: a direct method to determine curvatures

C. J. Tay, S. L. Toh, H. M. Shang, and Q. Y. Lin
Appl. Opt. 34(13) 2202-2206 (1995)

Fringe formation in multiaperture speckle shear interferometry

N. Krishna Mohan and R. S. Sirohi
Appl. Opt. 35(10) 1617-1622 (1996)

Simultaneous 3D measurement of deformation and its first derivative with speckle pattern interferometry and shearography

Qihan Zhao, Weijie Chen, Fangyuan Sun, PeiZheng Yan, Bing Ye, and Yonghong Wang
Appl. Opt. 58(31) 8665-8672 (2019)

Simultaneous measurement of pure curvature and twist distribution fields by a five-aperture shearing and two-Fourier filtering technique

Kaifu F. Wang, A. Kiet Tieu, and Enbang B. Li
Appl. Opt. 39(16) 2577-2583 (2000)

Quantitative diagnosis of the out-of-plane displacement derivative with temporal-phase-shift shearography

Zhaorui Xu, Jie Li, Rongsheng Ba, Liqun Chai, Lan Wu, Qiao Xu, and Dong Liu
Appl. Opt. 63(19) F1-F10 (2024)