Abstract

Interference holography with a pulsed ruby laser is used as a tool for analyzing complex mechanical vibrations. With the aid of a moire technique, the combination of two interferograms taken in special, electronically controlled conditions yields the contribution to the vibration pattern corresponding to a single frequency. Quantitative analysis then follows the same lines as in ordinary holographic interferometry.

© 1983 Optical Society of America

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References

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  1. C. S. Vikram, Opt. Quantum Electron. 10, 527 (1976).
    [CrossRef]
  2. C. S. Vikram, Optik 45, 55 (1976).
  3. D. Cutter, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 133–145.
  4. V. K. Der, D. C. Holloway, W. L. Fourney, Appl. Opt. 12, 2552 (1973).
    [CrossRef] [PubMed]
  5. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), pp. 68–77.
  6. R. G. Hughes, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 204–210.

1976 (2)

C. S. Vikram, Opt. Quantum Electron. 10, 527 (1976).
[CrossRef]

C. S. Vikram, Optik 45, 55 (1976).

1973 (1)

Cutter, D.

D. Cutter, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 133–145.

Der, V. K.

Fourney, W. L.

Holloway, D. C.

Hughes, R. G.

R. G. Hughes, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 204–210.

Vest, C. M.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), pp. 68–77.

Vikram, C. S.

C. S. Vikram, Opt. Quantum Electron. 10, 527 (1976).
[CrossRef]

C. S. Vikram, Optik 45, 55 (1976).

Appl. Opt. (1)

Opt. Quantum Electron. (1)

C. S. Vikram, Opt. Quantum Electron. 10, 527 (1976).
[CrossRef]

Optik (1)

C. S. Vikram, Optik 45, 55 (1976).

Other (3)

D. Cutter, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 133–145.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979), pp. 68–77.

R. G. Hughes, in The Engineering Uses of Coherent Optics, E. R. Robertson, Ed. (Cambridge U.P., London, 1976), pp. 204–210.

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Figures (3)

Fig. 1
Fig. 1

Electronic configuration.

Fig. 2
Fig. 2

Patterns of the vibration with frequency f2 in Experiment 1: (a) if no other vibration is present; (b) the moire pattern if a vibration with frequency f1 occurs simultaneously.

Fig. 3
Fig. 3

Patterns obtained in Experiment 2 (f1 = 480 Hz, f2 = 1595 Hz, A1 = 45λ, A2 = 1λ, τ = 150 μsec). (a) and (b) show separate interferograms, (c) the resulting moire pattern.

Equations (8)

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z ( x , y , t ) = j = 0 J z j ( x , y , t ) ,
z j ( x , y , t ) = Z j ( x , y ) cos ( 2 π f j t + α j ) j = ( 0,1 , , J ) .
Δ z j ( x , y , t k ) = z j ( x , y , t k + τ ) z j ( x , y , t k ) = 2 Z j ( x , y ) sin ( 2 π f j t k + π f j τ + α j ) sin ( π f j τ ) ( j = 1 , , J ; k = 1,2 ) .
Δ z n ( x , y , t 2 ) Δ z n ( x , y , t 1 ) = 2 Z n ( x , y ) sin ( π f n τ ) [ sin ( 2 π f n t 1 + π f n τ + α n ) sin ( 2 π f n t 2 + π f n τ + α n ) ] = 0 ,
t 2 = t 1 + m / f n ( m = ± 1 , ± 2 , ) ,
I k ( x , y ) = A k [ 1 + b k cos ( s z d k + χ k ) ] ( k = 1,2 ) ,
d k = d k ( x , y ) = | j = 1 J Δ z j ( x , y , t k ) |
I m = A 2 { 1 + 2 b cos [ 1 2 ( d 1 + d 2 ) s z ] cos [ 1 2 ( d 1 d 2 ) s z ] + 0 ( b 2 ) } .

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