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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 52, Iss. 5 — May. 1, 1962
  • pp: 551–561

Light Scattering Functions for Concentric Spheres. Total Scattering Coefficients, m1 = 2.1050, m2 = 1.4821

M. KERKER, J. P. KRATOHVIL, and E. MATIJEVIĆ  »View Author Affiliations

JOSA, Vol. 52, Issue 5, pp. 551-561 (1962)

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Total scattering coefficients for concentric spheres with inner sphere m1=2.1050 and concentric spherical shell m2=1.4821 have been computed for ν=2πb/λ over the interval 0.1 (.1) 23.0 (2) 53.0 and for α/ν values of 0, 0.2, 0.4, 0.6, 0.8, 0.9, 0.95, 0.98, 0.99, and 1.00, where α=2πα/λ, a and b are the radii of the inner and total spheres, and λ is the wavelength. The results are compared with those obtained by a small particle approximation, the approximation suggested by Ryde, the Rayleigh-Gans method and an approximation based on using the single sphere method with a volume averaged refractive index. The Rayleigh-Gans equations for concentric spheres are derived. The small particle approximation permits accurate estimation of the total scattering coefficient for any combination of α and ν up to ν=1.4.

M. KERKER, J. P. KRATOHVIL, and E. MATIJEVIĆ, "Light Scattering Functions for Concentric Spheres. Total Scattering Coefficients, m1 = 2.1050, m2 = 1.4821," J. Opt. Soc. Am. 52, 551-561 (1962)

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  2. M. Kerker, P. Langleben, and K. L. S. Gunn, J. Meteorol. 8, 424 (1951).
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