Abstract

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 = 2πa/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.

© 1962 Optical Society of America

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