Abstract

The small-particle limit for scattering by spheres (Rayleigh scattering) has an upper limit on the refractive index. Also, the limiting expression for perfectly reflecting spheres has a lower limit on the refractive index. These limits are delineated here for both absorbing and nonabsorbing spheres.

© 1978 Optical Society of America

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References

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  1. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 47. Throughout this Letter the reader will be referred to this source for the relevant equations and notation.
  2. Reference 1, p. 90.
  3. Reference 1, p. 31.
  4. Reference 1, p. 157.
  5. W. Heller, J. Chem. Phys. 42, 1609 (1965).
    [Crossref]
  6. M. Kerker and D. D. Cooke, Appl. Opt. 15, 2105 (1976).
    [Crossref] [PubMed]
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 75 and 158.

1976 (1)

1965 (1)

W. Heller, J. Chem. Phys. 42, 1609 (1965).
[Crossref]

Cooke, D. D.

Heller, W.

W. Heller, J. Chem. Phys. 42, 1609 (1965).
[Crossref]

Kerker, M.

M. Kerker and D. D. Cooke, Appl. Opt. 15, 2105 (1976).
[Crossref] [PubMed]

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 47. Throughout this Letter the reader will be referred to this source for the relevant equations and notation.

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 75 and 158.

Appl. Opt. (1)

J. Chem. Phys. (1)

W. Heller, J. Chem. Phys. 42, 1609 (1965).
[Crossref]

Other (5)

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 75 and 158.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 47. Throughout this Letter the reader will be referred to this source for the relevant equations and notation.

Reference 1, p. 90.

Reference 1, p. 31.

Reference 1, p. 157.

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Figures (5)

FIG. 1
FIG. 1

Loci of 1% deviation between RT and LMT in the nκ domain for α = 0.01, 0.035, 0.060, 0.085, and 0.11 at θ = 0°.

FIG. 2
FIG. 2

Loci of 1 % deviation between TLT and LMT in the nκ domain for α = 0.01 at θ = 0°, 60° and 120°.

FIG. 3
FIG. 3

Loci of 1 % deviation between TT and LMT in the nκ domain for α = 0.4 at θ = 60° and 120°.

FIG. 4
FIG. 4

Same as Fig. 3 for α = 1.

FIG. 5
FIG. 5

Same as Fig. 3 for α = 20.

Equations (1)

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m = n ( 1 - κ i ) .