Abstract

The features of scattered and transmitted light by dilute suspensions of transparent submicron particles are investigated both in the spectral and in the perceived colorimetric domains, as a function of effective particle diameter D, particle-host refractive-index mismatch m, and scattering angle θ. Our results show that the wavelength λ-dependence of the scattering and extinction cross sections remains quite similar well beyond the Rayleigh regime up to particle sizes of a few hundreds nm, but only for specific scattering angles that depend on D and m, and tend to 90° on approaching the Rayleigh regime. Close to this limit (D/λ≪1), a simple criterion that relates the perceived scattering color at θ=90° and the ratio of the sample extinction coefficients at two properly selected wavelengths is demonstrated. A comparison between computed and measured data is presented.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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2008

1997

1991

1918

R. J. Strutt, “Scattering of light by dust-free air, with artificial reproduction of the blue sky. Preliminary note,” Proc. R. Soc. A 94, 453–459 (1918).
[CrossRef]

1915

J. Cabannes, “Sur la diffusion de la lumière par l’air,” C.R. Acad. Sci. 160, 62–63 (1915).

1899

L. Rayleigh and J. W. Strutt, “On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky,” Philos. Mag. 47, 375–384 (1899).

Bassini, A.

Bohren, C. F.

C. F. Bohren, “Atmospheric optics,” in The Optics Encyclopedia, T. G. Brown, ed. (Wiley, 2004), pp. 53–91.

C. F. Bohren, Clouds in a Glass of Beer: Simple Experiments in Atmospheric Physics (Wiley, 1987), pp. 104–108.

Cabannes, J.

J. Cabannes, “Sur la diffusion de la lumière par l’air,” C.R. Acad. Sci. 160, 62–63 (1915).

Doxsee, D. D.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Duggal, A. R.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Ferri, F.

Gedzelman, S. D.

Greenler, R.

Hernandez-Andres, J.

Kerker, M.

Levinson, L. M.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Livingston, W.

D. K. Lynch and W. Livingston, Color and Light in Nature (Cambridge University, 2001).

Lopez-Alvarez, M. A.

Lynch, D. K.

D. K. Lynch and W. Livingston, Color and Light in Nature (Cambridge University, 2001).

McNulty, T. F.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Minnaert, M. G. J.

M. G. J. Minnaert, Light and Colors in the Outdoors (Springer-Verlag, 1993).

Paganini, E.

Rayleigh, L.

L. Rayleigh and J. W. Strutt, “On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky,” Philos. Mag. 47, 375–384 (1899).

Srivastava, A. M.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Stiles, W. S.

G. Wyszecki and W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, 1982).

Stokes, E. B.

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

Strutt, J. W.

L. Rayleigh and J. W. Strutt, “On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky,” Philos. Mag. 47, 375–384 (1899).

Strutt, R. J.

R. J. Strutt, “Scattering of light by dust-free air, with artificial reproduction of the blue sky. Preliminary note,” Proc. R. Soc. A 94, 453–459 (1918).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).

Wyszecki, G.

G. Wyszecki and W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, 1982).

Appl. Opt.

C.R. Acad. Sci.

J. Cabannes, “Sur la diffusion de la lumière par l’air,” C.R. Acad. Sci. 160, 62–63 (1915).

Philos. Mag.

L. Rayleigh and J. W. Strutt, “On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky,” Philos. Mag. 47, 375–384 (1899).

Proc. R. Soc. A

R. J. Strutt, “Scattering of light by dust-free air, with artificial reproduction of the blue sky. Preliminary note,” Proc. R. Soc. A 94, 453–459 (1918).
[CrossRef]

Other

C. F. Bohren, Clouds in a Glass of Beer: Simple Experiments in Atmospheric Physics (Wiley, 1987), pp. 104–108.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).

M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic, 1969).

G. Wyszecki and W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, 1982).

E. B. Stokes, T. F. McNulty, D. D. Doxsee, A. M. Srivastava, L. M. Levinson, and A. R. Duggal, “Solid state illumination system containing a light emitting diode, a light scattering material and a luminescent material,” U.S. patent 6,791,259 (14September2004).

M. G. J. Minnaert, Light and Colors in the Outdoors (Springer-Verlag, 1993).

D. K. Lynch and W. Livingston, Color and Light in Nature (Cambridge University, 2001).

C. F. Bohren, “Atmospheric optics,” in The Optics Encyclopedia, T. G. Brown, ed. (Wiley, 2004), pp. 53–91.

“Light and color in the open air,” feature issue, Appl. Opt.42 (2003).

“Light and color in the open air,” feature issue, Appl. Opt.44 (2005).

“Light and color in the open air,” feature issue, Appl. Opt.47 (2008).

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