Abstract

From the irregular fringe patterns produced by the Fourier transform of a multiply exposed specklegram we may extract information about the kinematic parameters of a linear motion. The initial velocity, acceleration, and age (i.e., the time interval of the motion) for a uniform accelerated motion are computed from the results of a spatial frequency analysis.

© 1992 Optical Society of America

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References

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  1. A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).
  2. A. W. Lohmann, G. P. Weigelt, J. Opt. Soc. Am. 66, 1271 (1976).
    [CrossRef]
  3. J. M. Huntley, J. E. Field, Appl. Opt. 25, 1665 (1986).
    [CrossRef] [PubMed]
  4. A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975).
    [CrossRef]

1990 (1)

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

1986 (1)

1976 (1)

1975 (1)

A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975).
[CrossRef]

Alvarez-Claro, M.

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

Fernandez, R.

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

Field, J. E.

Garcia, A.

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

Huntley, J. M.

Lohmann, A. W.

A. W. Lohmann, G. P. Weigelt, J. Opt. Soc. Am. 66, 1271 (1976).
[CrossRef]

A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975).
[CrossRef]

Vazquez, M. C.

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

Weigelt, G. P.

A. W. Lohmann, G. P. Weigelt, J. Opt. Soc. Am. 66, 1271 (1976).
[CrossRef]

A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975).
[CrossRef]

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Opt. Commun. (1)

A. W. Lohmann, G. P. Weigelt, Opt. Commun. 14, 252 (1975).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

A. Garcia, M. C. Vazquez, R. Fernandez, M. Alvarez-Claro, Proc. Soc. Photo-Opt. Instrum. Eng. 1319, 68 (1990).

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Figures (7)

Fig. 1
Fig. 1

Scheme of linear motion. The three exposures are made at A, B, and C. I is the initial position.

Fig. 2
Fig. 2

Experimental setup for specklegram recording. S, shutter; L’s, lenses; D, diffuser; PhC, photographie camera; M, dc motor; HP, Hewlett-Packard computer; MC, microcomputer.

Fig. 3
Fig. 3

Experimental setup for spatial frequency analysis. Sp, specklegram; VS, viewing screen; HP, Hewlett-Packard computer. A/D, analog-to-digital converter.

Fig. 4
Fig. 4

Plot of intensity (I) versus the perpendicular direction to the fringes (Z) for d1 = 56.9 μm and d2 = 70.6 μm.

Fig. 5
Fig. 5

Power spectrum for d1 = 56.9 μm and d2 = 70.6 μm.

Fig. 6
Fig. 6

Plot of intensity (I) versus the normal direction to the fringes (Z) for d1 = 119.7 μm. and d2 = 149.0 μm.

Fig. 7
Fig. 7

Power spectrum plot for d1 = 119.7 μm and d2 = 149.0 μm.

Equations (7)

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P N + 2 cos x 1 + 2 cos x 2 + 2 cos x 3 + + 2 cos x N 1 + 2 cos ( x 1 + x 2 ) + 2 cos ( x 2 + x 3 ) + + 2 cos ( x N 2 + x N 1 ) + 2 cos ( x 1 + x 2 + x 3 ) + 2 cos ( x 2 + x 3 + x 4 ) + + 2 cos ( x N 3 + x N 2 + x N 1 ) + 2 cos ( x 1 + x 2 + + x N 2 ) + 2 cos ( x 2 + x 3 + + x N 1 ) + 2 cos ( x 1 + x 2 + + x N 1 ) ,
P 3 + 2 cos x 1 + 2 cos x 2 + 2 cos ( x 1 + x 2 ) .
d 1 = υ 0 t 1 + 1 / 2 ( a t 1 2 ) ,
d 2 = ( υ 0 + a t 1 ) t 2 + 1 / 2 ( a t 2 2 ) .
d 2 d 1 = a t 2 ,
d 2 d 1 = 1 + a t υ 0 + 1 / 2 ( a t ) ,
d 2 d 1 = 1 + t t 0 + t / 2 .

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