For numerical tests of the calculational procedure for scattering by a multilayered sphere, absorption of visible light by graphitic carbon (soot) mixed with nonabsorbing or weakly absorbing material like water is calculated. Three cases of mixing within the framework of the multilayered model are considered: (1) carbon exists as a tiny core within a water droplet, (2) carbon exists as a thin shell on the outside of the water droplet, and (3) carbon exists as a thin shell within the water droplet (double-layered case). Numerical calculation of absorption cross sections is performed, treating the carbon content in each case as a perturbation in the Mie scattering of light by a homogeneous sphere of water. The results obtained agree perfectly with those obtained directly by the use of algorithms based on the exact expressions.
Ramesh Bhandari, Ramesh Bhandari,
"Tests of the Algorithm for the Calculation of Scattering by a Multilayered Sphere", Proc. SPIE 0540, Southwest Conf on Optics '85, (20 November 1985); doi: 10.1117/12.976161; https://doi.org/10.1117/12.976161