Abstract

For x/n ≫ 1, the following relations between the Mie-scattering functions a_n (x,m) and b_n(x,m) are satisfied: a₁ (x,m) = b₂ (x,m) = a₃ (x,m) = ⋯ = a_n−1(x,m) = b_n(x,m) and b₁(x,m) = a₂ (x,m) = b₃ (x,m) = ⋯ = b_n−1 (x,m) = a_n(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.

© 1973 Optical Society of America

Asymptotic limits of the Mie-scattering characteristics

Petr Chýlek
J. Opt. Soc. Am. 65(11) 1316-1318 (1975)

Mie scattering by spheres in an absorbing medium*

W. C. Mundy, J. A. Roux, and A. M. Smith
J. Opt. Soc. Am. 64(12) 1593-1597 (1974)

Mie scattering into the backward hemisphere

Petr Chýlek
J. Opt. Soc. Am. 63(11) 1467-1471 (1973)

Scattering and extinction cross sections for a spherical particle coated with an oriented molecular layer

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J. Opt. Soc. Am. 63(3) 308-311 (1973)

A numerical study of scattering by large dielectric spheres

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