Abstract

We investigate the shape dependence of the scattering by dielectric and metallic particles on surfaces by considering particles whose free-space scattering properties are nearly identical. The scattering by metallic particles is strongly dependent on the shape of the particle in the region near where the particle touches the surface. The scattering by dielectric particles displays a weaker, but nonetheless significant, dependence on particle shape. These results have a significant effect on the use of light scattering to size and identify particles on surfaces.

© 2002 Optical Society of America

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References

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  1. P. A. Bobbert and J. Vlieger, Physica 137A, 209 (1986).
    [CrossRef]
  2. T. Wriedt and A. Doicu, Opt. Commun. 152, 376 (1998).
    [CrossRef]
  3. A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
    [CrossRef]
  4. P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
  5. P. Denti, F. Borghese, R. Saija, E. Fucile, and O. I. Sindoni, J. Opt. Soc. Am. A 16, 167 (1999).
    [CrossRef]
  6. J. C. Chao, F. J. Rizzo, I. Elshafiey, Y. J. Liu, L. Upda, and P. A. Martin, J. Opt. Soc. Am. A 13, 338 (1996).
    [CrossRef]
  7. G. Videen, Opt. Commun. 115, 1 (1995).
    [CrossRef]
  8. R. Schmehl, B. M. Nebeker, and E. D. Hirleman, J. Opt. Soc. Am. A 14, 3026 (1997).
    [CrossRef]
  9. Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
    [CrossRef]
  10. Yu. Eremin and N. Orlov, J. Quant. Spectrosc. Radiat. Transfer 60, 451 (1998).
    [CrossRef]
  11. K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
    [CrossRef]
  12. G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
    [CrossRef]

2001

Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
[CrossRef]

2000

A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
[CrossRef]

1999

P. Denti, F. Borghese, R. Saija, E. Fucile, and O. I. Sindoni, J. Opt. Soc. Am. A 16, 167 (1999).
[CrossRef]

G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
[CrossRef]

1998

Yu. Eremin and N. Orlov, J. Quant. Spectrosc. Radiat. Transfer 60, 451 (1998).
[CrossRef]

T. Wriedt and A. Doicu, Opt. Commun. 152, 376 (1998).
[CrossRef]

1997

1996

1995

G. Videen, Opt. Commun. 115, 1 (1995).
[CrossRef]

1986

P. A. Bobbert and J. Vlieger, Physica 137A, 209 (1986).
[CrossRef]

1971

K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
[CrossRef]

Barber, P. W.

P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).

Bobbert, P. A.

P. A. Bobbert and J. Vlieger, Physica 137A, 209 (1986).
[CrossRef]

Borghese, F.

Bryner, N. P.

G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
[CrossRef]

Chao, J. C.

Croarkin, C.

G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
[CrossRef]

Denti, P.

Doicu, A.

A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
[CrossRef]

T. Wriedt and A. Doicu, Opt. Commun. 152, 376 (1998).
[CrossRef]

Elshafiey, I.

Eremin, Yu.

A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
[CrossRef]

Yu. Eremin and N. Orlov, J. Quant. Spectrosc. Radiat. Transfer 60, 451 (1998).
[CrossRef]

Eremin, Yu. A.

Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
[CrossRef]

Fucile, E.

Grishina, N. V.

Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
[CrossRef]

Hill, S. C.

P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).

Hirleman, E. D.

Johnson, K. L.

K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
[CrossRef]

Kendall, K.

K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
[CrossRef]

Liu, Y. J.

Martin, P. A.

Mulholland, G. W.

G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
[CrossRef]

Nebeker, B. M.

Orlov, N.

Yu. Eremin and N. Orlov, J. Quant. Spectrosc. Radiat. Transfer 60, 451 (1998).
[CrossRef]

Rizzo, F. J.

Roberts, A. D.

K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
[CrossRef]

Saija, R.

Schmehl, R.

Sindoni, O. I.

Stover, J. C.

Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
[CrossRef]

Upda, L.

Videen, G.

G. Videen, Opt. Commun. 115, 1 (1995).
[CrossRef]

Vlieger, J.

P. A. Bobbert and J. Vlieger, Physica 137A, 209 (1986).
[CrossRef]

Wriedt, T.

A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
[CrossRef]

T. Wriedt and A. Doicu, Opt. Commun. 152, 376 (1998).
[CrossRef]

Aerosol Sci. Technol.

G. W. Mulholland, N. P. Bryner, and C. Croarkin, Aerosol Sci. Technol. 31, 39 (1999).
[CrossRef]

J. Opt. Soc. Am. A

J. Quant. Spectrosc. Radiat. Transfer

Yu. A. Eremin, J. C. Stover, and N. V. Grishina, J. Quant. Spectrosc. Radiat. Transfer 70, 421 (2001).
[CrossRef]

Yu. Eremin and N. Orlov, J. Quant. Spectrosc. Radiat. Transfer 60, 451 (1998).
[CrossRef]

Opt. Commun.

G. Videen, Opt. Commun. 115, 1 (1995).
[CrossRef]

T. Wriedt and A. Doicu, Opt. Commun. 152, 376 (1998).
[CrossRef]

A. Doicu, Yu. Eremin, and T. Wriedt, Opt. Commun. 182, 281 (2000).
[CrossRef]

Physica

P. A. Bobbert and J. Vlieger, Physica 137A, 209 (1986).
[CrossRef]

Proc. R. Soc. London Ser. A

K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London Ser. A 324, 301 (1971).
[CrossRef]

Other

P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).

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Figures (3)

Fig. 1
Fig. 1

Profiles of the four particles chosen for this study: (a) 1.2-nm dent toward the surface, (b) 1.2 nm dent away from the surface, (c) Chebyshev particle with ξ=-0.01, (d) Chebyshev particle with ξ=0.01, (e) 30-nm-radius sphere. The 1.5-nm oxide layer upon the substrate is shown to the same scale.

Fig. 2
Fig. 2

Top, differential scattering cross section dσ/dΩ for 30-nm aluminum and polystyrene spheres upon a silicon substrate and spheres with 1.2-nm indentations aimed toward the surface and away from the surface. Bottom, ratios of dσ/dΩ for nonspherical particles to dσ/dΩ for the sphere of the same material. The specular direction is at θr=60°.

Fig. 3
Fig. 3

Top, differential scattering cross section dσ/dΩ for 30-nm aluminum and polystyrene spheres upon a silicon substrate and Chebyshev particles with ξ=-0.01 and ξ=+0.01. Bottom, ratios of dσ/dΩ for nonspherical particles to dσ/dΩ for the sphere of the same material. The specular direction is at θr=60°.

Equations (2)

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rTdθ=r0θθ0r0-d/cos θθ<θ0,
rCθ=r01+ξ cosmθ,

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