Total scattering coefficients for concentric spheres with inner sphere <i>m</i><sub>1</sub>=2.1050 and concentric spherical shell <i>m</i><sub>2</sub>=1.4821 have been computed for ν=2π<i>b</i>/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, <i>a</i> and <i>b</i> 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)