Abstract

A novel method is developed to improve the accuracy of particle sizing in laser phase-Doppler anemometry (PDA). In this method the vector sum of refractive and reflective rays is taken into consideration in describing a dual-mechanism-scattering model caused by a nonuniformly illuminated PDA measurement volume. The constraint of the single-mechanism-scattering model in the conventional PDA is removed. As a result the error caused by the measurement-volume effect, which consists of a Gaussian-beam defect and a slit effect, can be eliminated. This new method can be easily implemented with minimal modification of the conventional PDA system. The results of simulation based on the generalized Lorenz–Mie theory show that the new method can provide a PDA system free from the measurement-volume effect.

© 1999 Optical Society of America

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  1. M. Saffman, “The use of polarized light for optical particle sizing,” presented at the Third International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 14–17 July 1986.
  2. W. D. Bachalo, S. V. Sankar, “Analysis of the light scattering interferometry for spheres larger than the light wavelength,” presented at the Fourth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 11–14 July 1988.
  3. S. V. Sankar, A. S. Inenaga, W. D. Bachalo, “Trajectory dependent scattering in phase Doppler interferometer: minimizing and eliminating sizing errors,” presented at the Sixth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 20–23 July 1992.
  4. G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.
  5. H.-H. Qiu, M. Sommerfeld, “The impact of signal processing on the accuracy of phase-Doppler measurements,” presented at the Sixth Workshop on Two Phase Flow Predictions, Erlangen, Germany, 30 March–2 April 1992.
  6. H.-H. Qiu, C. T. Hsu, “Optimization of optical parameters for particle sizing in multiphase flows by using EPDA,” Opt. Laser Eng. 30, 3–15 (1998).
    [CrossRef]
  7. H.-H. Qiu, C. T. Hsu, “Minimum deviation of spatial frequency in large particle sizing,” Appl. Opt. 37, 6787–6794 (1998).
    [CrossRef]
  8. F. Durst, C. Tropea, T.-H. Xu, “The slit effect in phase Doppler anemometry,” in Proceedings of the Second International Conference on Fluid Dynamic Measurement and Its Applications, X. Shen, X. Sun, eds. (International Academic Publishers, Beijing, 1994), pp. 38–43.
  9. H.-H. Qiu, C. T. Hsu, “A Fourier optics method for the simulation of measurement-volume effect by the slit constraint,” presented at the Eighth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1996.
  10. Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.
  11. C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.
  12. K. Bauckhage, “The phase-Doppler-difference-method, a new-laser-Doppler technique for simultaneous size and velocity measurements. 1. Description of the method,” Part. Part. Syst. Charact. 5, 16–22 (1988).
    [CrossRef]

1998 (2)

H.-H. Qiu, C. T. Hsu, “Optimization of optical parameters for particle sizing in multiphase flows by using EPDA,” Opt. Laser Eng. 30, 3–15 (1998).
[CrossRef]

H.-H. Qiu, C. T. Hsu, “Minimum deviation of spatial frequency in large particle sizing,” Appl. Opt. 37, 6787–6794 (1998).
[CrossRef]

1988 (1)

K. Bauckhage, “The phase-Doppler-difference-method, a new-laser-Doppler technique for simultaneous size and velocity measurements. 1. Description of the method,” Part. Part. Syst. Charact. 5, 16–22 (1988).
[CrossRef]

Aizu, Y.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

Bachalo, W. D.

W. D. Bachalo, S. V. Sankar, “Analysis of the light scattering interferometry for spheres larger than the light wavelength,” presented at the Fourth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 11–14 July 1988.

S. V. Sankar, A. S. Inenaga, W. D. Bachalo, “Trajectory dependent scattering in phase Doppler interferometer: minimizing and eliminating sizing errors,” presented at the Sixth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 20–23 July 1992.

Bauckhage, K.

K. Bauckhage, “The phase-Doppler-difference-method, a new-laser-Doppler technique for simultaneous size and velocity measurements. 1. Description of the method,” Part. Part. Syst. Charact. 5, 16–22 (1988).
[CrossRef]

Durst, F.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.

F. Durst, C. Tropea, T.-H. Xu, “The slit effect in phase Doppler anemometry,” in Proceedings of the Second International Conference on Fluid Dynamic Measurement and Its Applications, X. Shen, X. Sun, eds. (International Academic Publishers, Beijing, 1994), pp. 38–43.

Gouesbet, G.

G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.

Grehan, G.

G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.

Gréhan, G.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

Haugen, P.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

Hsu, C. T.

H.-H. Qiu, C. T. Hsu, “Minimum deviation of spatial frequency in large particle sizing,” Appl. Opt. 37, 6787–6794 (1998).
[CrossRef]

H.-H. Qiu, C. T. Hsu, “Optimization of optical parameters for particle sizing in multiphase flows by using EPDA,” Opt. Laser Eng. 30, 3–15 (1998).
[CrossRef]

H.-H. Qiu, C. T. Hsu, “A Fourier optics method for the simulation of measurement-volume effect by the slit constraint,” presented at the Eighth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1996.

Inenaga, A. S.

S. V. Sankar, A. S. Inenaga, W. D. Bachalo, “Trajectory dependent scattering in phase Doppler interferometer: minimizing and eliminating sizing errors,” presented at the Sixth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 20–23 July 1992.

Naqwi, A.

G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.

Onofri, F.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

Qiu, H.-H.

H.-H. Qiu, C. T. Hsu, “Minimum deviation of spatial frequency in large particle sizing,” Appl. Opt. 37, 6787–6794 (1998).
[CrossRef]

H.-H. Qiu, C. T. Hsu, “Optimization of optical parameters for particle sizing in multiphase flows by using EPDA,” Opt. Laser Eng. 30, 3–15 (1998).
[CrossRef]

H.-H. Qiu, M. Sommerfeld, “The impact of signal processing on the accuracy of phase-Doppler measurements,” presented at the Sixth Workshop on Two Phase Flow Predictions, Erlangen, Germany, 30 March–2 April 1992.

H.-H. Qiu, C. T. Hsu, “A Fourier optics method for the simulation of measurement-volume effect by the slit constraint,” presented at the Eighth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1996.

Saffman, M.

M. Saffman, “The use of polarized light for optical particle sizing,” presented at the Third International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 14–17 July 1986.

Sankar, S. V.

W. D. Bachalo, S. V. Sankar, “Analysis of the light scattering interferometry for spheres larger than the light wavelength,” presented at the Fourth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 11–14 July 1988.

S. V. Sankar, A. S. Inenaga, W. D. Bachalo, “Trajectory dependent scattering in phase Doppler interferometer: minimizing and eliminating sizing errors,” presented at the Sixth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 20–23 July 1992.

Sommerfeld, M.

H.-H. Qiu, M. Sommerfeld, “The impact of signal processing on the accuracy of phase-Doppler measurements,” presented at the Sixth Workshop on Two Phase Flow Predictions, Erlangen, Germany, 30 March–2 April 1992.

Tropea, C.

F. Durst, C. Tropea, T.-H. Xu, “The slit effect in phase Doppler anemometry,” in Proceedings of the Second International Conference on Fluid Dynamic Measurement and Its Applications, X. Shen, X. Sun, eds. (International Academic Publishers, Beijing, 1994), pp. 38–43.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

Xu, T.-H.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

F. Durst, C. Tropea, T.-H. Xu, “The slit effect in phase Doppler anemometry,” in Proceedings of the Second International Conference on Fluid Dynamic Measurement and Its Applications, X. Shen, X. Sun, eds. (International Academic Publishers, Beijing, 1994), pp. 38–43.

Appl. Opt. (1)

Opt. Laser Eng. (1)

H.-H. Qiu, C. T. Hsu, “Optimization of optical parameters for particle sizing in multiphase flows by using EPDA,” Opt. Laser Eng. 30, 3–15 (1998).
[CrossRef]

Part. Part. Syst. Charact. (1)

K. Bauckhage, “The phase-Doppler-difference-method, a new-laser-Doppler technique for simultaneous size and velocity measurements. 1. Description of the method,” Part. Part. Syst. Charact. 5, 16–22 (1988).
[CrossRef]

Other (9)

F. Durst, C. Tropea, T.-H. Xu, “The slit effect in phase Doppler anemometry,” in Proceedings of the Second International Conference on Fluid Dynamic Measurement and Its Applications, X. Shen, X. Sun, eds. (International Academic Publishers, Beijing, 1994), pp. 38–43.

H.-H. Qiu, C. T. Hsu, “A Fourier optics method for the simulation of measurement-volume effect by the slit constraint,” presented at the Eighth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1996.

Y. Aizu, F. Durst, G. Gréhan, F. Onofri, T.-H. Xu, “PDA systems without Gaussian beam defects,” presented at the Third International Conference on Optical Particle Sizing, Yokohama, Japan, 23–26 August 1993.

C. Tropea, T.-H. Xu, F. Onofri, G. Gréhan, P. Haugen, “Dual mode phase Doppler anemometry,” presented at the Seventh International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 8–11 July 1994.

M. Saffman, “The use of polarized light for optical particle sizing,” presented at the Third International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 14–17 July 1986.

W. D. Bachalo, S. V. Sankar, “Analysis of the light scattering interferometry for spheres larger than the light wavelength,” presented at the Fourth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 11–14 July 1988.

S. V. Sankar, A. S. Inenaga, W. D. Bachalo, “Trajectory dependent scattering in phase Doppler interferometer: minimizing and eliminating sizing errors,” presented at the Sixth International Symposium on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, Portugal, 20–23 July 1992.

G. Grehan, G. Gouesbet, A. Naqwi, F. Durst, “Evaluation of phase Doppler system using generalized Lorenz–Mie theory,” presented at the International Conference on Multiphase Flows ’91, Tsukuba, Japan, 24–27 September 1991.

H.-H. Qiu, M. Sommerfeld, “The impact of signal processing on the accuracy of phase-Doppler measurements,” presented at the Sixth Workshop on Two Phase Flow Predictions, Erlangen, Germany, 30 March–2 April 1992.

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