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An application of Mie's series to soft particles

Summary

The scattering of electromagnetic radiation from ‘soft’ particles has been studied by a new method which allows to transform the Mie series into a simplified form through the use of some auxiliary expansions derived in the Appendix of this article. This simplified form (eq. 1) converts into the Hulst and Rayleigh-Debye-Gans' formulae if the parameters of eq. I are properly restricted. A further simplified form (eq. II), improves the well-known Hulst approximation.

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References

  1. [1]

    Kerker, M.,The scattering of light, Academic Press, New York, 1969.

  2. [2]

    Van de Hulst, H. C.,Light scattering by small particles, J. Wiley, New York, 1957.

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    Shifrin, K. S.,Light scattering in opaque medium, GITTL, Moscow, 1951.

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    Watson, G. N.,Treatise on the theory of Bessel Functions, Cambridge, University Press, 1944.

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Perelman, A.Y. An application of Mie's series to soft particles. PAGEOPH 116, 1077–1088 (1978). https://doi.org/10.1007/BF00874672

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Key words

  • Mie-scattering
  • Radiation
  • Scattering on aerosol particles