Scattering of particles with inclusions. Modeling and inverse problem solution in the Rayleigh-Gans approximation

G.E. ELICABE; F.A. OTERO; G.L. FRONTINI

Lima

Conferencia; 7th Ibero-American Conference on Optics 10th Latin-American Meeting on Optics, Lasers and Applications; 2010

Pontificia Universidad Católica del Perú

An analytic model for the scattering of a spherical particle with spherical inclusionshas been proposed under the RG approximation. The model can be used without limitations todescribe an X-ray scattering experiment. However, for light scattering several conditions mustbe fulfilled. Based on this model an inverse methodology is proposed to estimate the radii ofhost particle and inclusions, the number of inclusions and the Distance Distribution Functions(DDF’s) of the distances between inclusions and the distances between inclusions and theorigin of coordinates. The methodology is numerically tested in a light scattering example inwhich the host particle is eliminated by matching the refractive indices of host particle andmedium. The results obtained for this cluster particle are very satisfactory.