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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 6 — Jun. 1, 1973
  • pp: 699–706

Large-sphere limits of the Mie-scattering functions

Petr Chýlek  »View Author Affiliations


JOSA, Vol. 63, Issue 6, pp. 699-706 (1973)
http://dx.doi.org/10.1364/JOSA.63.000699


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Abstract

For x / n ≫ 1, the following relations between the Mie-scattering functions an (x,m) and bn (x,m) are satisfied: a1 (x,m)= b2 (x,m)= a3 (x,m) = … = an-1 (x,m) = bn (x,m) and b1 (x,m) = a2 (x,m)= b3 (x,m) = … = bn-1 (x,m) = an(x,m) for arbitrary refractive index m. By use of these relations, the Van de Hulst and Deirmendjian conjectures about the x → ∞ behavior of the scattering functions or their linear and bilinear combinations, as well as several new relations, are rigorously proved.

Citation
Petr Chýlek, "Large-sphere limits of the Mie-scattering functions," J. Opt. Soc. Am. 63, 699-706 (1973)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-63-6-699

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