Abstract

A photorefractive crystal (Bi12GeO20) is used to record double-exposure speckle patterns produced by Q-switched laser pulses in real-time speckle metrology and velocimetry applications. The speckle pattern displacements are immediately measured with an optical processor of the type used for measuring speckle displacements recorded on photographic film. Operation of the optical processor is described and compared with the case of film recording. Observed spatial and temporal recording properties of the crystal in this imaging configuration are discussed and compared with published results for single-frequency grating recording in photorefractives. The system is applied to measuring velocities of a moving solid object.

© 1988 Optical Society of America

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References

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  1. R. K. Erf, ed. Speckle Metrology (Academic, New York, 1978).
  2. P. G. Simpkins, T. D. Dudderar, J. Fluid Mech. 89, 665 (1978).
    [CrossRef]
  3. S. H. Collicott, L. Hesselink, Opt. Lett. 11, 410 (1986).
    [CrossRef] [PubMed]
  4. R. Meynart, Appl. Opt. 22, 535 (1983).
    [CrossRef] [PubMed]
  5. L. Hesselink, Annu. Rev. Fluid Mech. 20, 421 (1988).
    [CrossRef]
  6. L. Hesselink, Handbook of Flow Visualization (Hemisphere, New York, 1988).
  7. G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
    [CrossRef]
  8. J. P. Huignard, J. P. Herriau, Appl. Opt. 16, 1807 (1977).
    [CrossRef] [PubMed]
  9. Y. H. Ja, Appl. Opt. 21, 3230 (1982).
    [CrossRef] [PubMed]
  10. S. H. Collicott, L. Hesselink, presented at American Institute of Aeronautics and Astronautics 19th Fluid Dynamics, Plasma Dynamics, and Lasers Conference (1987).
  11. J. L. Ferrier, J. Gazengel, G. Rivoire, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), p. 93.

1988

L. Hesselink, Annu. Rev. Fluid Mech. 20, 421 (1988).
[CrossRef]

1986

G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
[CrossRef]

S. H. Collicott, L. Hesselink, Opt. Lett. 11, 410 (1986).
[CrossRef] [PubMed]

1983

1982

1978

P. G. Simpkins, T. D. Dudderar, J. Fluid Mech. 89, 665 (1978).
[CrossRef]

1977

Brun, A.

G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
[CrossRef]

Collicott, S. H.

S. H. Collicott, L. Hesselink, Opt. Lett. 11, 410 (1986).
[CrossRef] [PubMed]

S. H. Collicott, L. Hesselink, presented at American Institute of Aeronautics and Astronautics 19th Fluid Dynamics, Plasma Dynamics, and Lasers Conference (1987).

Dudderar, T. D.

P. G. Simpkins, T. D. Dudderar, J. Fluid Mech. 89, 665 (1978).
[CrossRef]

Ferrier, J. L.

J. L. Ferrier, J. Gazengel, G. Rivoire, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), p. 93.

Gazengel, J.

J. L. Ferrier, J. Gazengel, G. Rivoire, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), p. 93.

Herriau, J. P.

Hesselink, L.

L. Hesselink, Annu. Rev. Fluid Mech. 20, 421 (1988).
[CrossRef]

S. H. Collicott, L. Hesselink, Opt. Lett. 11, 410 (1986).
[CrossRef] [PubMed]

L. Hesselink, Handbook of Flow Visualization (Hemisphere, New York, 1988).

S. H. Collicott, L. Hesselink, presented at American Institute of Aeronautics and Astronautics 19th Fluid Dynamics, Plasma Dynamics, and Lasers Conference (1987).

Huignard, J. P.

Ja, Y. H.

Lesaux, G.

G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
[CrossRef]

Meynart, R.

Rivoire, G.

J. L. Ferrier, J. Gazengel, G. Rivoire, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), p. 93.

Roosen, G.

G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
[CrossRef]

Simpkins, P. G.

P. G. Simpkins, T. D. Dudderar, J. Fluid Mech. 89, 665 (1978).
[CrossRef]

Annu. Rev. Fluid Mech.

L. Hesselink, Annu. Rev. Fluid Mech. 20, 421 (1988).
[CrossRef]

Appl. Opt.

J. Fluid Mech.

P. G. Simpkins, T. D. Dudderar, J. Fluid Mech. 89, 665 (1978).
[CrossRef]

Opt. Commun.

G. Lesaux, G. Roosen, A. Brun, Opt. Commun. 56, 374 (1986).
[CrossRef]

Opt. Lett.

Other

S. H. Collicott, L. Hesselink, presented at American Institute of Aeronautics and Astronautics 19th Fluid Dynamics, Plasma Dynamics, and Lasers Conference (1987).

J. L. Ferrier, J. Gazengel, G. Rivoire, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), p. 93.

R. K. Erf, ed. Speckle Metrology (Academic, New York, 1978).

L. Hesselink, Handbook of Flow Visualization (Hemisphere, New York, 1988).

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Figures (3)

Fig. 1
Fig. 1

Schematic of experiment; imaging system is f/7.1, focal length is 83 mm, crystal is 1 cm × 1 cm cube of BGO. CCD, charge-coupled device.

Fig. 2
Fig. 2

(a) Fringes from spinning disk; 100-μsec time separation. (b) Fringes from rotated stationary disk; 100-msec time separation.

Fig. 3
Fig. 3

Tangential velocity profile of spinning disk measured with 100 μsec between exposures.

Equations (6)

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Δ r = v Δ t M .
n BGO ( r ) = n 0 + n 1 s ( r ) + n 2 s ( r Δ r )
t BGO ( r ) = exp { j k l [ n 0 + n 1 s ( r ) + n 2 s ( r Δ r ) ] } , 1 + j k l [ n 1 s ( r ) + n 2 s ( r Δ r ) ] .
I 0 ( ρ ) = δ 2 ( ρ ) + k l ( n 1 + n 2 ) [ S ( 0 ) + S * ( 0 ) ] × δ ( ρ ) + k 2 l 2 S ( ρ ) 2 ( n 1 n 2 ) 2 + k 2 l 2 S ( ρ ) 2 n 1 n 2 cos 2 ( π Δ r · ρ ) ,
I 0 ( ρ ) = A δ ( ρ ) + ( k l Δ n ) 2 S ( ρ ) 2 cos 2 ( π Δ r · ρ ) .
| v | = λ f / Λ M Δ t ,

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