Abstract

I present the results of an experiment to demonstrate the effect of phase mismatch between an object vibration and a bias vibration in pseudo-phase-step analysis of time-average holographic interferograms of vibration modes. Pseudo-phase-stepping applies conventional phase-step equations to zero-order Bessel function fringes and during phase unwrapping corrects for the errors incurred. A circular disk vibrating in a quadrature combination of its two one-diameter modes was used as a test object and provided a 360° phase distribution. The results indicate that the process has considerable tolerance to phase mismatch.

© 2006 Optical Society of America

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References

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  1. K. A. Stetson and W. R. Brohinsky, "Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects," J. Opt. Soc. Am. A 5, 1472-1476 (1998).
    [CrossRef]
  2. S. Ellingsrud and G. O. Rosvold, "Analysis of TV-holography system used to measure small vibration amplitudes," J. Opt. Soc. Am. A 9, 237-251 (1992).
    [CrossRef]
  3. K. A. Stetson, "The effects of beam modulation on fringe loci and localization in time-average hologram interferometry," J. Opt. Soc. Am. 60, 1378-1388 (1970).
    [CrossRef]
  4. K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
    [CrossRef] [PubMed]
  5. N.-E. Molin and K. A. Stetson, "Measuring combination mode vibration patterns by hologram interferometry," J. Phys. E 2, 609-612 (1969).
    [CrossRef]

1998

K. A. Stetson and W. R. Brohinsky, "Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects," J. Opt. Soc. Am. A 5, 1472-1476 (1998).
[CrossRef]

1997

K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
[CrossRef] [PubMed]

1992

S. Ellingsrud and G. O. Rosvold, "Analysis of TV-holography system used to measure small vibration amplitudes," J. Opt. Soc. Am. A 9, 237-251 (1992).
[CrossRef]

1970

K. A. Stetson, "The effects of beam modulation on fringe loci and localization in time-average hologram interferometry," J. Opt. Soc. Am. 60, 1378-1388 (1970).
[CrossRef]

1969

N.-E. Molin and K. A. Stetson, "Measuring combination mode vibration patterns by hologram interferometry," J. Phys. E 2, 609-612 (1969).
[CrossRef]

Brohinsky, W. R.

K. A. Stetson and W. R. Brohinsky, "Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects," J. Opt. Soc. Am. A 5, 1472-1476 (1998).
[CrossRef]

Ellingsrud, S.

S. Ellingsrud and G. O. Rosvold, "Analysis of TV-holography system used to measure small vibration amplitudes," J. Opt. Soc. Am. A 9, 237-251 (1992).
[CrossRef]

Gauthier, P.

K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
[CrossRef] [PubMed]

Molin, N.-E.

N.-E. Molin and K. A. Stetson, "Measuring combination mode vibration patterns by hologram interferometry," J. Phys. E 2, 609-612 (1969).
[CrossRef]

Rosvold, G. O.

S. Ellingsrud and G. O. Rosvold, "Analysis of TV-holography system used to measure small vibration amplitudes," J. Opt. Soc. Am. A 9, 237-251 (1992).
[CrossRef]

Stetson, K. A.

K. A. Stetson and W. R. Brohinsky, "Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects," J. Opt. Soc. Am. A 5, 1472-1476 (1998).
[CrossRef]

K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
[CrossRef] [PubMed]

K. A. Stetson, "The effects of beam modulation on fringe loci and localization in time-average hologram interferometry," J. Opt. Soc. Am. 60, 1378-1388 (1970).
[CrossRef]

N.-E. Molin and K. A. Stetson, "Measuring combination mode vibration patterns by hologram interferometry," J. Phys. E 2, 609-612 (1969).
[CrossRef]

Wahid, J.

K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
[CrossRef] [PubMed]

Appl. Opt.

K. A. Stetson, J. Wahid, and P. Gauthier, "Noise-immune phase unwrapping by use of calculated wrap regions," Appl. Opt. 36, 4830-4838 (1997).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A

K. A. Stetson and W. R. Brohinsky, "Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects," J. Opt. Soc. Am. A 5, 1472-1476 (1998).
[CrossRef]

S. Ellingsrud and G. O. Rosvold, "Analysis of TV-holography system used to measure small vibration amplitudes," J. Opt. Soc. Am. A 9, 237-251 (1992).
[CrossRef]

J. Phys. E

N.-E. Molin and K. A. Stetson, "Measuring combination mode vibration patterns by hologram interferometry," J. Phys. E 2, 609-612 (1969).
[CrossRef]

J. Opt. Soc. Am.

K. A. Stetson, "The effects of beam modulation on fringe loci and localization in time-average hologram interferometry," J. Opt. Soc. Am. 60, 1378-1388 (1970).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Time-average hologram recording of a circular disk vibrating with a quadrature combination of its two one-diameter vibration modes.

Fig. 2
Fig. 2

Wrapped phase resulting from the application of the vibration data capture procedure in the PCHolo32v2.05 program.

Fig. 3
Fig. 3

Unwrapped phase of the data shown in Fig. 2 with triangular segments at the left and right of the center removed.

Fig. 4
Fig. 4

Plot of data taken at 0° to vertical and at 15°. Each plot is the average across a lane of data 5 pixels wide.

Fig. 5
Fig. 5

Plot of data at 40°.

Fig. 6
Fig. 6

Plot of data at 63°.

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