Abstract

A method of detecting displacements of a surface from its steady-state position to its equilibrium position while it is vibrating has been developed by use of time-average digital holographic interferometry. This method permits extraction of such a hidden deformation by creating two separated systems of interferogram fringes: one corresponding to a time-varying resonantly oscillating optical phase, the other to the stationary phase modification. A mathematical description of the method and illustrative results of experimental verification are presented.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. B. Owen and A. A. Zozulya, Appl. Opt. 41, 5891 (2002).
    [CrossRef] [PubMed]
  2. A. A. Bugayev and M. C. Gupta, Opt. Lett. 28, 1463 (2003).
    [CrossRef] [PubMed]
  3. R. L. Powell and K. A. Stetson, J. Opt. Soc. Am. 55, 1593 (1965).
    [CrossRef]
  4. J. N. Butters and J. A. Leendertz, Meas. Control 4, 349 (1971).
  5. K. Creath and G. A. Slettemoen, J. Opt. Soc. Am. A 2, 1629 (1985).
    [CrossRef]
  6. P. Picart, J. Leval, D. Mounier, and S. Gougeon, Opt. Lett. 28, 1900 (2003).
    [CrossRef] [PubMed]
  7. N. Demoli, J. Meštrović, and I. Sović, Appl. Opt. 42, 798 (2003).
    [CrossRef] [PubMed]
  8. N. Demoli, D. Vukicevic, and M. Torzynski, Opt. Express 11, 767 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  9. T. Kreis, Holographic Interferometry: Principles and Methods (Springer-Verlag, Berlin, 1996).

2003 (4)

2002 (1)

1985 (1)

1971 (1)

J. N. Butters and J. A. Leendertz, Meas. Control 4, 349 (1971).

1965 (1)

Bugayev, A. A.

Butters, J. N.

J. N. Butters and J. A. Leendertz, Meas. Control 4, 349 (1971).

Creath, K.

Demoli, N.

Gougeon, S.

Gupta, M. C.

Kreis, T.

T. Kreis, Holographic Interferometry: Principles and Methods (Springer-Verlag, Berlin, 1996).

Leendertz, J. A.

J. N. Butters and J. A. Leendertz, Meas. Control 4, 349 (1971).

Leval, J.

Meštrovic, J.

Mounier, D.

Owen, R. B.

Picart, P.

Powell, R. L.

Slettemoen, G. A.

Sovic, I.

Stetson, K. A.

Torzynski, M.

Vukicevic, D.

Zozulya, A. A.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Hidden deformation of a vibrating surface. A, B, fixed points.

Fig. 2
Fig. 2

Fringe patterns obtained for the displacements: (a) vibration and (b) offset.

Fig. 3
Fig. 3

Fringe pattern containing both the vibration and offset displacements.

Fig. 4
Fig. 4

Fringe patterns obtained for the displacements: (a) shift and (b) vibration+offset+shift.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

Eu,vexpiζu,vFsx,yexpiξx,y,
Eu,vexpiζu,v×Fsx,yexpiΔϕx,y+iξx,y.
E+u,vexpiζu,vFsx,y1+expiΔϕx,y×expiξx,y.
Eu,vexpiζu,vFsx,yJ04π/λhx,y×expiΔϕx,y+iξx,y,
Urx,y2sx-X,y-Y2J02λ,h,
Ur-x,y2sx-X,y-Y21-J0λ,h×expiΔφx-X,y-Y2.
Ur+x,y2sx-X,y-Y21+J0λ,h×expiΔφx-X,y-Y2.
Ur+x,y2-Δur-x,y2sx-X,y-Y2×J0λ,hcosΔφx-X,y-Y.

Metrics