Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method

An original experimental setup for shearography with metrological applications is presented herein. The simplicity and the efficiency of the setup are provided by a shearing device, a prism that separates the TE and TM polarization modes with a coating and a thin glass plate attached on its face. The temporal phase shifting method is applied through the use of a liquid crystal variable retarder. The use of this shearing device enables an in-line and almostcommon path configuration for the shearing interferometer, a path that leads to high stability of the interferometer and a low sensitivity to external disturbances. In order to prove the efficiency and the accuracy of this speckle shearing interferometer, the out-of-plane displacement derivative relative to the shearing interferometry direction of a centrally loaded steel plate has been measured by the shearographic interferometer and then compared with the out-of-plane displacement derivative computed from the displacement field provided by the finite element method. The results are in good agreement.

[1]  Y. Y. Hung.  A speckle-shearing interferometer: A tool for measuring derivatives of surface displacements , 1974 .

[2]  M. P. Kothiyal,et al.  Universal digital speckle shearing interferometer. , 1988, Applied optics.

[3]  Laurent Duchene,et al.  Analysis of Texture Evolution and hardening Behavior during Deep drawing with an improved mixed type FEM Element , 2005 .

[4]  Jonathan M. Huntley,et al.  Convenient method for calibrating nonlinear phase modulators for use in phase shifting interferometry , 1998 .

[5]  Ralph P. Tatam,et al.  Shape and slope measurement by source displacement in shearography , 2004 .

[6]  J D Valera,et al.  Phase stepping in fiber-based speckle shearing interferometry. , 1994, Optics letters.

[7]  K. Creath.  Phase-Shifting Speckle Interferometry , 1985, Optics & Photonics.

[8]  Antonio Baldi.  Phase unwrapping by region growing. , 2003, Applied optics.

[9]  Ward Heylen,et al.  Mixed numerical-experimental identification of elastic properties of orthotropic metal plates , 2003 .

[10]  Roland Billen,et al.  The OSIRIS Project (Optical Systems for Interferometric-Photogrammetric Relief Investigation and Scanning). Development of a device for 3D numerical recording of archaeological and epigraphic documents by optoelectronic processes , 2002 .

[11]  Anne Habraken,et al.  Analysis of the sensitivity of FEM predictions to numerical parameters in deep drawing simulations , 2005 .

[12]  Ralph P. Tatam,et al.  Polarization-multiplexed and phase-stepped fibre optic shearography using laser wavelength modulation , 2000 .

[13]  Y. Y. Hung,et al.  Surface profiling using shearography , 2000 .

[14]  Vincent Moreau,et al.  Highlighting properties of filters for their application in temporal phase shifting interferometry , 2005, Photonics North.

[15]  C. Wykes,et al.  Holographic and speckle interferometry: Speckle pattern interferometry , 1989 .

[16]  Vincent Moreau,et al.  At the crossroads of physics and archaeology: the OSIRIS Project , 2004 .

[17]  Stephan Waldner,et al.  A simple and effective method for filtering speckle-interferometric phase fringe patterns , 1999 .

[18]  Ward Heylen,et al.  Handling uncertainties in mixed numerical-experimental techniques for vibration based material identification , 2006 .

[19]  Thomas J. Flynn,et al.  TWO-DIMENSIONAL PHASE UNWRAPPING WITH MINIMUM WEIGHTED DISCONTINUITY , 1997 .

[20]  Guillermo H. Kaufmann,et al.  Digital speckle pattern interferometry and related techniques , 2001 .

[21]  Anand Asundi,et al.  Polarization phase shifting shearography for optical metrological applications , 1998 .

[22]  Y. Y. Hung.  Applications of digital shearography for testing of composite structures , 1999 .