Abstract

A method for measuring flow velocity distribution in the interior of a transparent fluid is proposed. The method utilizes a thin sheet of laser light, which illuminates fluid containing small scattering particles. A double-exposure hologram is made with the scattered light as a signal wave. In the reconstructed image we can observe interference fringes which correspond to the distribution of particle displacements between the two exposures and consequently to the distribution of flow velocity. Simple experiments were performed that confirmed the usefulness of the method. A discussion of the relation of this method to laser Doppler velocimetry shows that the two methods utilize different aspects of the same phenomenon.

© 1977 Optical Society of America

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  1. R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 418.
  2. During the preparation of this paper, an investigation was published in which a similar optical arrangement is used for speckle interferometry. The arrangement was used for measuring displacements in the interior of a transparent solid. [D. B. Baker and M. E. Fourney, Exp. Mech. 16, (6), 209 (1976)]. A similar experiment was independently reported by two of the present authors and their colleague [H. Uozato, K. Iwata, and R. Nagata, in Preprints of the Spring Meeting of the Japan Society of Applied Physics, Tokyo, March, 1976 p. 122).
  3. Reference 1, p. 428.
  4. T. Matsumoto, K. Iwata, and R. Nagata, Bull. Univ. of Osaka Prefect. Ser. A 22, 101 (1973).
  5. Reference 1, p. 431.
  6. H. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 178 (1964).
  7. F. Durst, A. Melling, and J. H. Whitelaw, Principles and Practice of Laser-Doppler Anemometry (Academic, London, 1976), p. 104.
  8. T. Suzuki and R. Hioki, J. Opt. Soc. Am. 57, 1551 (1967).
  9. T. Matsumoto, K. Iwata, and R. Nagata, Appl. Opt. 12, 960 (1973).
  10. From a catalogue of International Laser Systems, Inc., Catalog #C1012, August, 1974.

Baker, D. B.

During the preparation of this paper, an investigation was published in which a similar optical arrangement is used for speckle interferometry. The arrangement was used for measuring displacements in the interior of a transparent solid. [D. B. Baker and M. E. Fourney, Exp. Mech. 16, (6), 209 (1976)]. A similar experiment was independently reported by two of the present authors and their colleague [H. Uozato, K. Iwata, and R. Nagata, in Preprints of the Spring Meeting of the Japan Society of Applied Physics, Tokyo, March, 1976 p. 122).

Burckhardt, C. B.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 418.

Collier, R. J.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 418.

Cummins, H. Z.

H. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 178 (1964).

Durst, F.

F. Durst, A. Melling, and J. H. Whitelaw, Principles and Practice of Laser-Doppler Anemometry (Academic, London, 1976), p. 104.

Fourney, M. E.

During the preparation of this paper, an investigation was published in which a similar optical arrangement is used for speckle interferometry. The arrangement was used for measuring displacements in the interior of a transparent solid. [D. B. Baker and M. E. Fourney, Exp. Mech. 16, (6), 209 (1976)]. A similar experiment was independently reported by two of the present authors and their colleague [H. Uozato, K. Iwata, and R. Nagata, in Preprints of the Spring Meeting of the Japan Society of Applied Physics, Tokyo, March, 1976 p. 122).

Hioki, R.

T. Suzuki and R. Hioki, J. Opt. Soc. Am. 57, 1551 (1967).

Iwata, K.

T. Matsumoto, K. Iwata, and R. Nagata, Bull. Univ. of Osaka Prefect. Ser. A 22, 101 (1973).

T. Matsumoto, K. Iwata, and R. Nagata, Appl. Opt. 12, 960 (1973).

Lin, L. H.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 418.

Matsumoto, T.

T. Matsumoto, K. Iwata, and R. Nagata, Appl. Opt. 12, 960 (1973).

T. Matsumoto, K. Iwata, and R. Nagata, Bull. Univ. of Osaka Prefect. Ser. A 22, 101 (1973).

Melling, A.

F. Durst, A. Melling, and J. H. Whitelaw, Principles and Practice of Laser-Doppler Anemometry (Academic, London, 1976), p. 104.

Nagata, R.

T. Matsumoto, K. Iwata, and R. Nagata, Appl. Opt. 12, 960 (1973).

T. Matsumoto, K. Iwata, and R. Nagata, Bull. Univ. of Osaka Prefect. Ser. A 22, 101 (1973).

Suzuki, T.

T. Suzuki and R. Hioki, J. Opt. Soc. Am. 57, 1551 (1967).

Whitelaw, J. H.

F. Durst, A. Melling, and J. H. Whitelaw, Principles and Practice of Laser-Doppler Anemometry (Academic, London, 1976), p. 104.

Yeh, H.

H. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 178 (1964).

Other (10)

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 418.

During the preparation of this paper, an investigation was published in which a similar optical arrangement is used for speckle interferometry. The arrangement was used for measuring displacements in the interior of a transparent solid. [D. B. Baker and M. E. Fourney, Exp. Mech. 16, (6), 209 (1976)]. A similar experiment was independently reported by two of the present authors and their colleague [H. Uozato, K. Iwata, and R. Nagata, in Preprints of the Spring Meeting of the Japan Society of Applied Physics, Tokyo, March, 1976 p. 122).

Reference 1, p. 428.

T. Matsumoto, K. Iwata, and R. Nagata, Bull. Univ. of Osaka Prefect. Ser. A 22, 101 (1973).

Reference 1, p. 431.

H. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 178 (1964).

F. Durst, A. Melling, and J. H. Whitelaw, Principles and Practice of Laser-Doppler Anemometry (Academic, London, 1976), p. 104.

T. Suzuki and R. Hioki, J. Opt. Soc. Am. 57, 1551 (1967).

T. Matsumoto, K. Iwata, and R. Nagata, Appl. Opt. 12, 960 (1973).

From a catalogue of International Laser Systems, Inc., Catalog #C1012, August, 1974.

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