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

FERNANDO OTERO; GLORIA L. FRONTINI; GUILLERMO E. ELICABE

Journal of Physics: Conference Series

IOPscience

Año: 2010 vol. 274 p. 1 - 9

1742-6596

An analytic model for the scattering of a spherical particle with spherical inclusions has been proposed under the RG approximation. The model can be used without limitations to describe an X-ray scattering experiment. However, for light scattering several conditions must be fulfilled. Based on this model an inverse methodology is proposed to estimate the radii of host 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 the origin of coordinates. The methodology is numerically tested in a light scattering example in which the host particle is eliminated by matching the refractive indices of host particle and medium. The results obtained for this cluster particle are very satisfactory.