Abstract

Calculations are presented for the photophoretic force on a spherical aerosol particle with size much larger than the mean free path of the surrounding gas molecules. Very good agreement is shown with recent experimental data. The results show that both components of the complex refractive index can be inferred from radiometric measurements.

© 1983 Optical Society of America

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References

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  1. F. Ehrenhaft, Phys. Z. 18, 352 (1917).
  2. N. A. Fuchs, The Mechanics of Aerosols (Pergamon, New York, 1964).
  3. O. Preining, “Photophoresis,” in Aerosol Science, C. N. Davies, Ed. (Academic, New York, 1966).
  4. C. Orr, E. Y. H. Keng, J. Atmos. Sci. 21, 475 (1964).
    [CrossRef]
  5. G. M. Hidy, J. R. Brock, J. Geophys. Res. 72, 455 (1967).
    [CrossRef]
  6. S. Arnold, Y. Amani, Opt. Lett. 5, 242 (1980).
    [CrossRef] [PubMed]
  7. S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
    [CrossRef]
  8. M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
    [CrossRef]
  9. M. Kerker, D. D. Cooke, J. Opt. Soc. Am. 72, 1267 (1982).
    [CrossRef]
  10. S. Arnold, M. Lewittes, J. Appl. Phys. 53, 5314 (1982).
    [CrossRef]
  11. N. T. Tong, J. Colloid, Interface Sci. 43, 78 (1973).
  12. A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).
  13. J. C. Maxwell, Philos. Trans. R. Soc. London 170, 231 (1879).
    [CrossRef]
  14. V. B. Derjaguin, Yu. I. Yalamov, “The Theory of Thermophoresis and Diffusiophoresis of Aerosol Particles and Their Experimental Testing,” in International Reviews in Aerosol Physics and Chemistry, Vol. 3, G. M. Hidy, J. R. Brock, Eds. (Pergamon, New York, 1972).
  15. Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
    [CrossRef]
  16. L. R. Reed, J. Aerosol Sci. 8, 12 (1977).
  17. P. W. Dusel, M. Kerker, D. D. Cooke, J. Opt. Soc. Am. 69, 55 (1979).
    [CrossRef]
  18. L. Ward, J. Phys. D. 15, 1361 (1982).
    [CrossRef]
  19. A. B. Pluchino, Appl. Opt. 20, 2986 (1981).
    [CrossRef] [PubMed]

1982 (4)

M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
[CrossRef]

M. Kerker, D. D. Cooke, J. Opt. Soc. Am. 72, 1267 (1982).
[CrossRef]

S. Arnold, M. Lewittes, J. Appl. Phys. 53, 5314 (1982).
[CrossRef]

L. Ward, J. Phys. D. 15, 1361 (1982).
[CrossRef]

1981 (1)

1980 (1)

1979 (1)

1977 (2)

L. R. Reed, J. Aerosol Sci. 8, 12 (1977).

A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).

1976 (1)

Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
[CrossRef]

1973 (1)

N. T. Tong, J. Colloid, Interface Sci. 43, 78 (1973).

1967 (1)

G. M. Hidy, J. R. Brock, J. Geophys. Res. 72, 455 (1967).
[CrossRef]

1964 (1)

C. Orr, E. Y. H. Keng, J. Atmos. Sci. 21, 475 (1964).
[CrossRef]

1930 (1)

S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
[CrossRef]

1917 (1)

F. Ehrenhaft, Phys. Z. 18, 352 (1917).

1879 (1)

J. C. Maxwell, Philos. Trans. R. Soc. London 170, 231 (1879).
[CrossRef]

Akktaruzzaman, A. F. M.

A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).

Amani, Y.

S. Arnold, Y. Amani, Opt. Lett. 5, 242 (1980).
[CrossRef] [PubMed]

S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
[CrossRef]

Arnold, S.

M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
[CrossRef]

S. Arnold, M. Lewittes, J. Appl. Phys. 53, 5314 (1982).
[CrossRef]

S. Arnold, Y. Amani, Opt. Lett. 5, 242 (1980).
[CrossRef] [PubMed]

S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
[CrossRef]

Brock, J. R.

G. M. Hidy, J. R. Brock, J. Geophys. Res. 72, 455 (1967).
[CrossRef]

Colloid, J.

A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).

N. T. Tong, J. Colloid, Interface Sci. 43, 78 (1973).

Cooke, D. D.

Derjaguin, V. B.

V. B. Derjaguin, Yu. I. Yalamov, “The Theory of Thermophoresis and Diffusiophoresis of Aerosol Particles and Their Experimental Testing,” in International Reviews in Aerosol Physics and Chemistry, Vol. 3, G. M. Hidy, J. R. Brock, Eds. (Pergamon, New York, 1972).

Dusel, P. W.

Ehrenhaft, F.

F. Ehrenhaft, Phys. Z. 18, 352 (1917).

Fuchs, N. A.

N. A. Fuchs, The Mechanics of Aerosols (Pergamon, New York, 1964).

Hidy, G. M.

G. M. Hidy, J. R. Brock, J. Geophys. Res. 72, 455 (1967).
[CrossRef]

Keng, E. Y. H.

C. Orr, E. Y. H. Keng, J. Atmos. Sci. 21, 475 (1964).
[CrossRef]

Kerker, M.

Kutukov, V. B.

Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
[CrossRef]

Lewittes, M.

S. Arnold, M. Lewittes, J. Appl. Phys. 53, 5314 (1982).
[CrossRef]

M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
[CrossRef]

Lin, S. P.

A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).

Maxwell, J. C.

J. C. Maxwell, Philos. Trans. R. Soc. London 170, 231 (1879).
[CrossRef]

Orenstein, A.

S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
[CrossRef]

Orr, C.

C. Orr, E. Y. H. Keng, J. Atmos. Sci. 21, 475 (1964).
[CrossRef]

Oster, G.

M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
[CrossRef]

Pluchino, A. B.

Preining, O.

O. Preining, “Photophoresis,” in Aerosol Science, C. N. Davies, Ed. (Academic, New York, 1966).

Reed, L. R.

L. R. Reed, J. Aerosol Sci. 8, 12 (1977).

Shchukin, E. R.

Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
[CrossRef]

Tong, N. T.

N. T. Tong, J. Colloid, Interface Sci. 43, 78 (1973).

Ward, L.

L. Ward, J. Phys. D. 15, 1361 (1982).
[CrossRef]

Yalamov, Yu. I.

Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
[CrossRef]

V. B. Derjaguin, Yu. I. Yalamov, “The Theory of Thermophoresis and Diffusiophoresis of Aerosol Particles and Their Experimental Testing,” in International Reviews in Aerosol Physics and Chemistry, Vol. 3, G. M. Hidy, J. R. Brock, Eds. (Pergamon, New York, 1972).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

M. Lewittes, S. Arnold, G. Oster, Appl. Phys. Lett. 40, 455 (1982).
[CrossRef]

Interface Sci. (2)

N. T. Tong, J. Colloid, Interface Sci. 43, 78 (1973).

A. F. M. Akktaruzzaman, S. P. Lin, J. Colloid, Interface Sci. 61, 170 (1977).

J. Aerosol Sci. (1)

L. R. Reed, J. Aerosol Sci. 8, 12 (1977).

J. Appl. Phys. (1)

S. Arnold, M. Lewittes, J. Appl. Phys. 53, 5314 (1982).
[CrossRef]

J. Atmos. Sci. (1)

C. Orr, E. Y. H. Keng, J. Atmos. Sci. 21, 475 (1964).
[CrossRef]

J. Colloid Interface Sci. (1)

Yu. I. Yalamov, V. B. Kutukov, E. R. Shchukin, J. Colloid Interface Sci. 57, 564 (1976).
[CrossRef]

J. Geophys. Res. (1)

G. M. Hidy, J. R. Brock, J. Geophys. Res. 72, 455 (1967).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Phys. D. (1)

L. Ward, J. Phys. D. 15, 1361 (1982).
[CrossRef]

Opt. Lett. (1)

Philos. Trans. R. Soc. London (1)

J. C. Maxwell, Philos. Trans. R. Soc. London 170, 231 (1879).
[CrossRef]

Phys. Z. (1)

F. Ehrenhaft, Phys. Z. 18, 352 (1917).

Rev. Sci. Instrum. (1)

S. Arnold, Y. Amani, A. Orenstein, Rev. Sci. Instrum. 51, 1202 (1930).
[CrossRef]

Other (3)

N. A. Fuchs, The Mechanics of Aerosols (Pergamon, New York, 1964).

O. Preining, “Photophoresis,” in Aerosol Science, C. N. Davies, Ed. (Academic, New York, 1966).

V. B. Derjaguin, Yu. I. Yalamov, “The Theory of Thermophoresis and Diffusiophoresis of Aerosol Particles and Their Experimental Testing,” in International Reviews in Aerosol Physics and Chemistry, Vol. 3, G. M. Hidy, J. R. Brock, Eds. (Pergamon, New York, 1972).

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Figures (5)

Fig. 1
Fig. 1

Experimental data reproduced from Ref. 10 (solid) and calculated values of anisotropy factor J for extinction coefficients k = 0.038 (dashed) and k = 0.045 (dotted).

Fig. 2
Fig. 2

Energy density for equatorial plane of glycerol particle with size parameter x = 7 and complex refractive index n ˆ = 1.57 0.045 i before reversal.

Fig. 3
Fig. 3

Energy density for equatorial plane of glycerol particle with size parameter x = 16 and complex refractive index n ˆ = 1.57 0.045 i after reversal.

Fig. 4
Fig. 4

Geometry and coordinates of particulate properly oriented to show equatorial plane in Figs. 2 and 3.

Fig. 5
Fig. 5

Experimental data reproduced from Ref. 10 (top) and calculated values of anisotropy factor J (bottom) for extinction coefficient k = 0.38.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

υ t = 3 4 η ρ T ( T ) t ,
F = 4 π R η 2 K I J ρ T χ ,
J = 3 2 n k x 0 1 r 3 d r 0 π sin 2 θ B ( r , θ ) d θ ,
S = 1 2 σ | E ( r , θ ) | 2 ,
B ( r , θ ) = | E ( r , θ ) | 2 E 0 2 .

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