Abstract

When this work was done the author was with Los Alamos National Laboratory, Life Sciences Division, Los Alamos, New Mexico 87545; he has now returned to Pennsylvania State University, Meteorology Department, University Park, Pennsylvania 16802.

© 1988 Optical Society of America

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References

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  1. F. R. Faxvog, D. M. Roessler, “Optical Absorption in Thin Slabs and Spherical Particles,” Appl. Opt. 20, 729 (1981).
    [CrossRef] [PubMed]
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970).
  3. A. Schuster, “Radiation through a Foggy Atmosphere,” Astrophys. J. 21, 1 (1905). Reprinted in Selected Papers in the Transfer of Radiation, D. H. Menzel, Ed. (Dover, New York, 1966).
    [CrossRef]
  4. C. F. Bohren, “Multiple Scattering of Light and Some of its Observable Consequences,” Am. J. Phys. 55, 524 (1987).
    [CrossRef]
  5. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).
  6. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  8. W. T. Doyle, “Scattering Approach to Fresnel’s Equations and Brewster’s Law,” Am. J. Phys. 53, 463 (1985).
    [CrossRef]

1987 (1)

C. F. Bohren, “Multiple Scattering of Light and Some of its Observable Consequences,” Am. J. Phys. 55, 524 (1987).
[CrossRef]

1985 (1)

W. T. Doyle, “Scattering Approach to Fresnel’s Equations and Brewster’s Law,” Am. J. Phys. 53, 463 (1985).
[CrossRef]

1981 (1)

1905 (1)

A. Schuster, “Radiation through a Foggy Atmosphere,” Astrophys. J. 21, 1 (1905). Reprinted in Selected Papers in the Transfer of Radiation, D. H. Menzel, Ed. (Dover, New York, 1966).
[CrossRef]

Bohren, C. F.

C. F. Bohren, “Multiple Scattering of Light and Some of its Observable Consequences,” Am. J. Phys. 55, 524 (1987).
[CrossRef]

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970).

Doyle, W. T.

W. T. Doyle, “Scattering Approach to Fresnel’s Equations and Brewster’s Law,” Am. J. Phys. 53, 463 (1985).
[CrossRef]

Faxvog, F. R.

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).

Kerker, M.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

Roessler, D. M.

Schuster, A.

A. Schuster, “Radiation through a Foggy Atmosphere,” Astrophys. J. 21, 1 (1905). Reprinted in Selected Papers in the Transfer of Radiation, D. H. Menzel, Ed. (Dover, New York, 1966).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970).

Am. J. Phys. (2)

C. F. Bohren, “Multiple Scattering of Light and Some of its Observable Consequences,” Am. J. Phys. 55, 524 (1987).
[CrossRef]

W. T. Doyle, “Scattering Approach to Fresnel’s Equations and Brewster’s Law,” Am. J. Phys. 53, 463 (1985).
[CrossRef]

Appl. Opt. (1)

Astrophys. J. (1)

A. Schuster, “Radiation through a Foggy Atmosphere,” Astrophys. J. 21, 1 (1905). Reprinted in Selected Papers in the Transfer of Radiation, D. H. Menzel, Ed. (Dover, New York, 1966).
[CrossRef]

Other (4)

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970).

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

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Figures (2)

Fig. 1
Fig. 1

Scattering cross section per unit volume of a sphere scaled by one minus the asymmetry parameter (mean cosine of the scattering angle) for a refractive index of 1.55 and incident light of 0.6328-μm wavelength.

Fig. 2
Fig. 2

Reflection per unit thickness by a slab with refractive index 1.55 illuminated normally by light of 0.6328-μm wavelength.

Equations (8)

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R p = p R / [ 1 + ( p 1 ) R ] ,
g = T R = 1 2 R ,
R = | r 12 [ 1 exp ( i δ ) ] / [ 1 r 12 2 exp ( i δ ) ] | 2 ,
δ = 4 π n d / λ .
R p = τ * / ( 2 + τ * ) ,
τ * = f h ( 1 / d ) ( 1 g ) = f h ( 1 / d ) 2 R .
ρ = 4 π a ( n n m ) / λ ,
a = d m / ( m 1 ) .

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