Abstract

Results of autocorrelation functions and power spectral densities of laser Doppler velocimeters in the reference-beam-heterodyning and the cross-beam-mixing mode are derived to handle turbulence measurements, Doppler ambiguity, spatial coherence, and effects of particle concentration and detection aperture. A useful definition of signal-to-noise ratio is given for both correlation and spectral analyses. The signal-to-noise calculation provides a direct comparison of the figures of merit between various arrangements of a laser Doppler velocimeter with methods for signal processing to measure optically the flow properties of a fluid under given experimental conditions.

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  1. Y. Yeh and H. Z. Commins, Appl. Phys. Lett. 4, 176 (1964).
  2. F. Durst, A. Melling, and J. H. Whitelaw, J. Fluid Mech. 56, 143 (1972).
  3. M. J. Rudd, Opt. Laser Tech. 3, 200 (1971).
  4. J. C. Owens, Proc. IEEE 57, 530 (1969).
  5. L. Lading, Appl. Opt. 10, 1943 (1971).
  6. W. M. Farmer and D. B. Brayton, Appl. Opt. 10, 2319 (1971).
  7. C. Y. She, Appl. Opt. 12, 2415 (1973).
  8. R. V. Edwards, J. C. Angus, and J. W. Dunning, Jr., Opto-Electronics 5, 119 (1973).
  9. R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).
  10. L. E. Drain, J. Phys. D 5, 481 (1972).
  11. V. Degiorgio and J. B. Lastovka, Phys. Rev. A 4, 2033 (1971).
  12. J. C. Owens, Appl. Opt. 11, 2977 (1972).
  13. W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).
  14. A. J. Hughes and E. R. Pike, Appl. Opt. 12, 597 (1973).
  15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), p. 491.
  16. W. K. George and J. L. Lumley, J. Fluid Mech. 60, 321 (1973).
  17. A. Papoulis, The Fourier Integral and its Applications (McGraw-Hill, New York, 1962), p. 21.
  18. R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).
  19. C. Y. She and J. A. Lucero, Opt. Commun. 9, 300 (1973).
  20. G. B. Benedek, in Polarization Matière et Rayonnement Livre de Jubìlè en l'honneur du Professeur A. Kastler (Presses Universitaire de France, Paris, 1968), p. 149.
  21. C. P. Wang, J. Phys. E 5, 763 (1972).
  22. H. Z. Cummins and H. L. Swinney, Prog. Opt. 8, 133 (1970).

Adrian, R. J.

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

Angus, J. C.

R. V. Edwards, J. C. Angus, and J. W. Dunning, Jr., Opto-Electronics 5, 119 (1973).

R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).

Benedek, G. B.

G. B. Benedek, in Polarization Matière et Rayonnement Livre de Jubìlè en l'honneur du Professeur A. Kastler (Presses Universitaire de France, Paris, 1968), p. 149.

Brayton, D. B.

W. M. Farmer and D. B. Brayton, Appl. Opt. 10, 2319 (1971).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

Commins, H. Z.

Y. Yeh and H. Z. Commins, Appl. Phys. Lett. 4, 176 (1964).

Cummins, H. Z.

H. Z. Cummins and H. L. Swinney, Prog. Opt. 8, 133 (1970).

Degiorgio, V.

V. Degiorgio and J. B. Lastovka, Phys. Rev. A 4, 2033 (1971).

Drain, L. E.

L. E. Drain, J. Phys. D 5, 481 (1972).

Dunning, Jr., J. W.

R. V. Edwards, J. C. Angus, and J. W. Dunning, Jr., Opto-Electronics 5, 119 (1973).

R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).

Durst, F.

F. Durst, A. Melling, and J. H. Whitelaw, J. Fluid Mech. 56, 143 (1972).

Edwards, R. V.

R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).

R. V. Edwards, J. C. Angus, and J. W. Dunning, Jr., Opto-Electronics 5, 119 (1973).

Farmer, W. M.

W. M. Farmer and D. B. Brayton, Appl. Opt. 10, 2319 (1971).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

French, M. J.

R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).

George, W. K.

W. K. George and J. L. Lumley, J. Fluid Mech. 60, 321 (1973).

Goldstein, R. J.

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

Hughes, A. J.

A. J. Hughes and E. R. Pike, Appl. Opt. 12, 597 (1973).

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), p. 491.

Lading, L.

L. Lading, Appl. Opt. 10, 1943 (1971).

Lastovka, J. B.

V. Degiorgio and J. B. Lastovka, Phys. Rev. A 4, 2033 (1971).

Lucero, J. A.

C. Y. She and J. A. Lucero, Opt. Commun. 9, 300 (1973).

Lumley, J. L.

W. K. George and J. L. Lumley, J. Fluid Mech. 60, 321 (1973).

Melling, A.

F. Durst, A. Melling, and J. H. Whitelaw, J. Fluid Mech. 56, 143 (1972).

Owens, J. C.

J. C. Owens, Appl. Opt. 11, 2977 (1972).

J. C. Owens, Proc. IEEE 57, 530 (1969).

Papoulis, A.

A. Papoulis, The Fourier Integral and its Applications (McGraw-Hill, New York, 1962), p. 21.

Pike, E. R.

A. J. Hughes and E. R. Pike, Appl. Opt. 12, 597 (1973).

Rudd, M. J.

M. J. Rudd, Opt. Laser Tech. 3, 200 (1971).

She, C. Y.

C. Y. She, Appl. Opt. 12, 2415 (1973).

C. Y. She and J. A. Lucero, Opt. Commun. 9, 300 (1973).

Swinney, H. L.

H. Z. Cummins and H. L. Swinney, Prog. Opt. 8, 133 (1970).

Wang, C. P.

C. P. Wang, J. Phys. E 5, 763 (1972).

Whitelaw, J. H.

F. Durst, A. Melling, and J. H. Whitelaw, J. Fluid Mech. 56, 143 (1972).

Yeh, Y.

Y. Yeh and H. Z. Commins, Appl. Phys. Lett. 4, 176 (1964).

Other (22)

Y. Yeh and H. Z. Commins, Appl. Phys. Lett. 4, 176 (1964).

F. Durst, A. Melling, and J. H. Whitelaw, J. Fluid Mech. 56, 143 (1972).

M. J. Rudd, Opt. Laser Tech. 3, 200 (1971).

J. C. Owens, Proc. IEEE 57, 530 (1969).

L. Lading, Appl. Opt. 10, 1943 (1971).

W. M. Farmer and D. B. Brayton, Appl. Opt. 10, 2319 (1971).

C. Y. She, Appl. Opt. 12, 2415 (1973).

R. V. Edwards, J. C. Angus, and J. W. Dunning, Jr., Opto-Electronics 5, 119 (1973).

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

L. E. Drain, J. Phys. D 5, 481 (1972).

V. Degiorgio and J. B. Lastovka, Phys. Rev. A 4, 2033 (1971).

J. C. Owens, Appl. Opt. 11, 2977 (1972).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

A. J. Hughes and E. R. Pike, Appl. Opt. 12, 597 (1973).

J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), p. 491.

W. K. George and J. L. Lumley, J. Fluid Mech. 60, 321 (1973).

A. Papoulis, The Fourier Integral and its Applications (McGraw-Hill, New York, 1962), p. 21.

R. V. Edwards, J. C. Angus, M. J. French, and J. W.Dunning, Jr., J. Appl. Phys. 42, 837 (1971).

C. Y. She and J. A. Lucero, Opt. Commun. 9, 300 (1973).

G. B. Benedek, in Polarization Matière et Rayonnement Livre de Jubìlè en l'honneur du Professeur A. Kastler (Presses Universitaire de France, Paris, 1968), p. 149.

C. P. Wang, J. Phys. E 5, 763 (1972).

H. Z. Cummins and H. L. Swinney, Prog. Opt. 8, 133 (1970).

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