Simultaneous Measurement of Out-of-Plane and In-Plane Displacements by Phase-Shifting Digital Holographic Interferometry

Article Preview

Abstract:

In this paper, we apply phase-shifting digital holographic interferometry to simultaneous measurement for out-of-plane and in-plane displacements by employing two beam illuminations for an object. Phase-shifted holograms before and after displacements of the object using each of two beams are recorded by a CCD camera, separately. The complex amplitude at each pixel of the CCD plane is analyzed from the holograms taken with phase-shifting. The complex amplitude of he object is reconstructed from the complex amplitude distribution on the CCD plane using the Fresnel diffraction integral. Each directional phase difference distribution is obtained by calculating the phases before and after deformation for each directional beam. The phase distribution for out-of-plane displacements is obtained by calculating the sum of the two phase difference distributions. The phase distribution for in-plane displacements is obtained by calculating the difference of the two phase difference distributions. The phase values provide accurate displacement distribution information. Actually, when the object deforms in both out-of-plane and in-plane directions, it is possible to analyze the displacement distribution in each direction. The theory and an experiment are shown.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

223-228

Citation:

Online since:

August 2006

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2005 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] P.S. Valery, S.P. Vladimir, A.N. Sergey, V.B. Vitaly, N.O. Igor and M.B. Mikhail: Strain and Stress Analysis by Holographic and Speckle Interferometry, Wiley, (1996).

Google Scholar

[2] T. Hayashi, R. Ugo and Y. Morimoto: Experimental Observation of Stress Waves Propagating in Laminated Composites, Exp. Mech., Vol. 26-2 (1986), pp.169-174.

DOI: 10.1007/bf02320011

Google Scholar

[3] G. Pedrini, P. Froning, H. Fessler and H.J. Tiziani: In-line digital holographic interferometry, Applied Optics, Vol. 37-26 (1998), pp.6262-6269.

DOI: 10.1364/ao.37.006262

Google Scholar

[4] B. Javidi and T. Nomura: Securing Information by Use of Digital Holography, Opt. Lett., Vol. 25-1 (2000), pp.28-30.

DOI: 10.1364/ol.25.000028

Google Scholar

[5] I. Yamaguchi and T. Zhang: Phase-shifting Digital Holography, Opt. Lett., Vol. 22-16 (1997), pp.1268-1270.

DOI: 10.1364/ol.22.001268

Google Scholar

[6] I. Yamaguchi, J. Kato and H. Matsuzaki: Measurement of surface shape and deformation by phase-shifting image digital holography, Opt. Eng., Vol. 42-5 (2003), pp.1267-1271.

DOI: 10.1117/1.1566778

Google Scholar

[7] Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama and I. Takahashi: Deformation Measurement by Phase-shifting Digital Holography, Exp. Mech., Vol. 45-1, (2005), pp.65-70.

DOI: 10.1007/bf02428991

Google Scholar

[8] Y. Morimoto, T. Nomura, M. Fujigaki and I. Takahashi: Reduction of Speckle Noise Effect by Divided Holograms in Phase-shifting Digital Holography, Proc. of 12 th International Conference on Experimental Mechanics, ICEM12, (2004), pp.554-555.

Google Scholar

[9] C. Falldorf, C. von Kopylow, W. Osten and W. Jüptner: Digital Holography and Grating Interferometry: A Complementary Approach, Proc. SPIE, Vol. 5457, (2004), pp.225-231.

DOI: 10.1117/12.545645

Google Scholar